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Construction scheme of a two-photon polarization controlled arbitrary phase gate mediated by weak cross-phase modulationXiao-Ming Xiu, Li Dong, Hong-Zhi Shen, Ya-Jun Gao, and X. X. Yi »View Author Affiliations
Xiao-Ming Xiu,^{1,}^{2,}^{*}
Li Dong,^{1,}^{2}
Hong-Zhi Shen,^{1}
Ya-Jun Gao,^{2}
and X. X. Yi^{1}
^{1}School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116024, China ^{2}Department of Physics, College of Mathematics and Physics, Bohai University, Jinzhou 121013, China ^{*}Corresponding author: xiuxiaomingdl@126.com |
JOSA B, Vol. 30, Issue 3, pp. 589-597 (2013)
http://dx.doi.org/10.1364/JOSAB.30.000589
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Abstract
We propose a construction scheme of a two-photon polarization controlled arbitrary phase gate based on weak cross-phase modulation. Assisted with weak cross-phase modulation and homodyne measurement on the coherent states, the individual photons are entangled together. Employing the combination of optical elements and classical feed-forward techniques, the target photon can have a conditionally shifted arbitrary phase with efficiency approaching nearly unity. With a large-amplitude coherent state, the high success probability of the controlled arbitrary phase gate can be guaranteed.
© 2013 Optical Society of America
OCIS Codes
(270.5565) Quantum optics : Quantum communications
(270.5568) Quantum optics : Quantum cryptography
(270.5585) Quantum optics : Quantum information and processing
ToC Category:
Quantum Optics
History
Original Manuscript: October 8, 2012
Revised Manuscript: December 4, 2012
Manuscript Accepted: January 9, 2013
Published: February 15, 2013
Citation
Xiao-Ming Xiu, Li Dong, Hong-Zhi Shen, Ya-Jun Gao, and X. X. Yi, "Construction scheme of a two-photon polarization controlled arbitrary phase gate mediated by weak cross-phase modulation," J. Opt. Soc. Am. B 30, 589-597 (2013)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-30-3-589
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References
- M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University, 2000).
- K. S. Choi, H. Deng, J. Laurat, and H. J. Kimble, “Mapping photonic entanglement into and out of a quantum memory,” Nature 452, 67–71 (2008). [CrossRef]
- M. Mariantoni, H. Wang, T. Yamamoto, M. Neeley, R. C. Bialczak, Y. Chen, M. Lenander, E. Lucero, A. D. OConnell, D. Sank, M. Weides, J. Wenner, Y. Yin, J. Zhao, A. N. Korotkov, A. N. Cleland, and J. M. Martinis, “Implementing the quantum von Neumann architecture with superconducting circuits,” Science 334, 61–65 (2011). [CrossRef]
- A. Barenco, D. Deutsch, A. Ekert, and R. Jozsa, “Conditional quantum dynamics and logic gates,” Phys. Rev. Lett. 74, 4083–4086 (1995). [CrossRef]
- J. Cirac and P. Zoller, “Quantum computations with cold trapped ions,” Phys. Rev. Lett. 74, 4091–4094 (1995). [CrossRef]
- I. Chuang and Y. Yamamoto, “Simple quantum computer,” Phys. Rev. A 52, 3489–3496 (1995). [CrossRef]
- A. Sørensen and K. Mølmer, “Quantum computation with ions in thermal motion,” Phys. Rev. Lett. 82, 1971–1974 (1999). [CrossRef]
- M. Koashi, T. Yamamoto, and N. Imoto, “Probabilistic manipulation of entangled photons,” Phys. Rev. A 63, 030301(R) (2001). [CrossRef]
- T. Pittman, B. Jacobs, and J. Franson, “Probabilistic quantum logic operations using polarizing beam splitters,” Phys. Rev. A 64, 062311 (2001). [CrossRef]
- F. Schmidt-Kaler, H. Häffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Nature 422, 408–411 (2003). [CrossRef]
- Q. A. Turchette, C. J. Hood, W. Lange, H. Mabuchi, and H. J. Kimble, “Measurement of conditional phase shifts for quantum logic,” Phys. Rev. Lett. 75, 4710–4713 (1995). [CrossRef]
- L. You, X. X. Yi, and X. H. Su, “Quantum logic between atoms inside a high-Q optical cavity,” Phys. Rev. A 67, 032308 (2003). [CrossRef]
- X. X. Yi, X. H. Su, and L. You, “Conditional quantum phase gate between two 3-state atoms,” Phys. Rev. Lett. 90, 097902 (2003). [CrossRef]
- L.-M. Duan and H. Kimble, “Scalable photonic quantum computation through cavity-assisted interactions,” Phys. Rev. Lett. 92, 127902 (2004). [CrossRef]
- X.-M. Lin, Z.-W. Zhou, M.-Y. Ye, Y.-F. Xiao, and G.-C. Guo, “One-step implementation of a multiqubit controlled-phase-flip gate,” Phys. Rev. A 73, 012323 (2006). [CrossRef]
- X. Zou, S. Zhang, K. Li, and G. Guo, “Linear optical implementation of the two-qubit controlled phase gate with conventional photon detectors,” Phys. Rev. A 75, 034302 (2007). [CrossRef]
- X. Zou, K. Li, and G. Guo, “Linear optical scheme for direct implementation of a nondestructive N-qubit controlled phase gate,” Phys. Rev. A 74, 044305 (2006). [CrossRef]
- Y.-F. Xiao, X.-B. Zou, and G.-C. Guo, “One-step implementation of an N-qubit controlled-phase gate with neutral atoms trapped in an optical cavity,” Phys. Rev. A 75, 054303 (2007). [CrossRef]
- Y. Xia, J. Song, Z.-B. Yang, and S.-B. Zheng, “Controlled implementation of two-photon controlled phase gate within a network,” Quantum Inf. Comput. 10, 0821–0828 (2010).
- K. Kieling, J. L. OBrien, and J. Eisert, “On photonic controlled phase gates,” New J. Phys. 12, 013003 (2010). [CrossRef]
- K. Lemr, a. Černoch, J. Soubusta, K. Kieling, J. Eisert, and M. Dušek, “Experimental implementation of the optimal linear-optical controlled phase gate,” Phys. Rev. Lett. 106, 013602 (2011). [CrossRef]
- M.-F. Wang, N.-Q. Jiang, Q.-L. Jin, and Y.-Z. Zheng, “Continuous-variable controlled-Z gate using an atomic ensemble,” Phys. Rev. A 83, 062339 (2011). [CrossRef]
- R. Ukai, S. Yokoyama, J.-i. Yoshikawa, P. van Loock, and A. Furusawa, “Demonstration of a controlled-phase gate for continuous-variable one-way quantum computation,” Phys. Rev. Lett. 107, 250501 (2011). [CrossRef]
- X.-s. Ma, S. Zotter, N. Tetik, A. Qarry, T. Jennewein, and A. Zeilinger, “A high-speed tunable beam splitter for feed-forward photonic quantum information processing,” Opt. Express 19, 22723–22730 (2011). [CrossRef]
- Y. Q. Zhang, S. Zhang, K. H. Yeon, and S. C. Yu, “One-step implementation of a multiqubit controlled-phase gate with superconducting quantum interference devices coupled to a resonator,” J. Opt. Soc. Am. B 29, 300–304 (2012). [CrossRef]
- E. Nielsen, R. Muller, and M. Carroll, “Configuration interaction calculations of the controlled phase gate in double quantum dot qubits,” Phys. Rev. B 85, 035319 (2012). [CrossRef]
- P. Kok, K. Nemoto, T. C. Ralph, J. P. Dowling, and G. J. Milburn, “Linear optical quantum computing with photonic qubits,” Rev. Mod. Phys. 79, 135–174 (2007). [CrossRef]
- J.-W. Pan, Z.-B. Chen, C.-Y. Lu, H. Weinfurter, A. Zeilinger, and M. Zukowski, “Multiphoton entanglement and interferometry,” Rev. Mod. Phys. 84, 777–838 (2012). [CrossRef]
- E. Knill, R. Laflamme, and G. J. Milburn, “A scheme for efficient quantum computation with linear optics,” Nature 409, 46–52 (2001). [CrossRef]
- E. Knill, “Bounds on the probability of success of postselected nonlinear sign shifts implemented with linear optics,” Phys. Rev. A 68, 064303 (2003). [CrossRef]
- K. Nemoto and W. J. Munro, “Nearly deterministic linear optical controlled-NOT gate,” Phys. Rev. Lett. 93, 250502 (2004). [CrossRef]
- Q. Lin and J. Li, “Quantum control gates with weak cross-Kerr nonlinearity,” Phys. Rev. A 79, 022301 (2009). [CrossRef]
- Y. Xia, J. Song, P.-M. Lu, and H.-S. Song, “Efficient implementation of the two-qubit controlled phase gate with cross-Kerr nonlinearity,” J. Phys. B 44, 025503 (2011). [CrossRef]
- X.-M. Xiu, L. Dong, Y.-J. Gao, and X. X. Yi, “Nearly deterministic controlled-not gate with weak cross-Kerr nonlinearities,” Quantum Inf. Comput. 12, 0159–0170 (2012).
- M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge University, 1997).
- C. Weedbrook, S. Pirandola, R. Garca-Patrón, N. Cerf, T. Ralph, J. Shapiro, and S. Lloyd, “Gaussian quantum information,” Rev. Mod. Phys. 84, 621–669 (2012). [CrossRef]
- S. D. Barrett, P. Kok, K. Nemoto, R. G. Beausoleil, W. J. Munro, and T. P. Spiller, “Symmetry analyzer for nondestructive Bell-state detection using weak nonlinearities,” Phys. Rev. A 71, 060302(R) (2005).
- C. W. Gardiner and P. Zoller, Quantum Noise (Springer, 2000).
- M. K. Simon, Probability Distributions Involving Gaussian Random Variables, a Handbook for Engineers, Scientists and Mathematicians (Springer, 2006).
- W. J. Munro, K. Nemoto, and T. P. Spiller, “Weak nonlinearities: a new route to optical quantum computation,” New J. Phys. 7, 137 (2005). [CrossRef]
- S. D. Barrett and G. J. Milburn, “Quantum-information processing via a lossy bus,” Phys. Rev. A 74, 060302(R) (2006). [CrossRef]
- B. He, J. Bergou, and Y. Ren, “Universal discriminator for completely unknown optical qubits,” Phys. Rev. A 76, 032301 (2007). [CrossRef]
- Y.-B. Sheng, F.-G. Deng, and H.-Y. Zhou, “Nonlocal entanglement concentration scheme for partially entangled multipartite systems with nonlinear optics,” Phys. Rev. A 77, 062325 (2008). [CrossRef]
- Q. Lin and B. He, “Single-photon logic gates using minimal resources,” Phys. Rev. A 80, 042310 (2009). [CrossRef]
- B. He, Y. Ren, and J. Bergou, “Creation of high-quality long-distance entanglement with flexible resources,” Phys. Rev. A 79, 052323 (2009). [CrossRef]
- Y.-B. Sheng, F.-G. Deng, and G.-L. Long, “Complete hyperentangled-Bell-state analysis for quantum communication,” Phys. Rev. A 82, 032318 (2010). [CrossRef]
- B. He, Y.-H. Ren, and J. A. Bergou, “Universal entangler with photon pairs in arbitrary states,” J. Phys. B 43, 025502 (2010). [CrossRef]
- C. Wang, Y. Zhang, and G.-S. Jin, “Polarization-entanglement purification and concentration using cross-kerr nonlinearity,” Quantum Inf. Comput. 11, 0988–1002 (2011).
- W. Xiong and L. Ye, “Schemes for entanglement concentration of two unknown partially entangled states with cross-Kerr nonlinearity,” J. Opt. Soc. Am. B 28, 2030–2037 (2011). [CrossRef]
- Y. Xia, J. Song, P.-M. Lu, and H.-S. Song, “Effective quantum teleportation of an atomic state between two cavities with the cross-Kerr nonlinearity by interference of polarized photons,” J. Appl. Phys. 109, 103111 (2011). [CrossRef]
- Q. Guo, J. Bai, L.-Y. Cheng, X.-Q. Shao, H.-F. Wang, and S. Zhang, “Simplified optical quantum-information processing via weak cross-Kerr nonlinearities,” Phys. Rev. A 83, 054303 (2011). [CrossRef]
- F.-G. Deng, “Efficient multipartite entanglement purification with the entanglement link from a subspace,” Phys. Rev. A 84, 052312 (2011). [CrossRef]
- Y.-B. Sheng, L. Zhou, S.-M. Zhao, and B.-Y. Zheng, “Efficient single-photon-assisted entanglement concentration for partially entangled photon pairs,” Phys. Rev. A 85, 012307 (2012). [CrossRef]
- Y.-B. Sheng, L. Zhou, and S.-M. Zhao, “Efficient two-step entanglement concentration for arbitrary W states,” Phys. Rev. A 85, 042302 (2012). [CrossRef]
- X.-W. Wang, D.-Y. Zhang, S.-Q. Tang, L.-J. Xie, Z.-Y. Wang, and L.-M. Kuang, “Photonic two-qubit parity gate with tiny cross-Kerr nonlinearity,” Phys. Rev. A 85, 052326 (2012). [CrossRef]
- X.-W. Wang, D.-Y. Zhang, S.-Q. Tang, and L.-J. Xie, “Nondestructive Greenberger–Horne–Zeilinger-state analyzer,” Quantum Inf. Process. 12, 1065–1075 (2013). [CrossRef]
- P. Kok, H. Lee, and J. Dowling, “Single-photon quantum-nondemolition detectors constructed with linear optics and projective measurements,” Phys. Rev. A 66, 063814 (2002). [CrossRef]
- S. Harris and L. Hau, “Nonlinear optics at low light levels,” Phys. Rev. Lett. 82, 4611–4614 (1999). [CrossRef]
- D. Braje, V. Balić, G. Yin, and S. Harris, “Low-light-level nonlinear optics with slow light,” Phys. Rev. A 68, 041801(R) (2003). [CrossRef]
- W. J. Munro, K. Nemoto, R. G. Beausoleil, and T. P. Spiller, “High-efficiency quantum-nondemolition single-photon-number-resolving detector,” Phys. Rev. A 71, 033819 (2005). [CrossRef]
- T. Kippenberg, S. Spillane, and K. Vahala, “Kerr-nonlinearity optical parametric oscillation in an ultrahigh-Q toroid microcavity,” Phys. Rev. Lett. 93, 083904 (2004). [CrossRef]
- X. Li, P. Voss, J. Sharping, and P. Kumar, “Optical-fiber source of polarization-entangled photons in the 1550 nm telecom band,” Phys. Rev. Lett. 94, 053601 (2005). [CrossRef]
- P. Grangier, J. A. Levenson, and J.-P. Poizat, “Quantum non-demolition measurements in optics,” Nature 396, 537–542 (1998). [CrossRef]
- H. F. Hofmann, K. Kojima, S. Takeuchi, and K. Sasaki, “Optimized phase switching using a single-atom nonlinearity,” J. Opt. B 5, 218–221 (2003). [CrossRef]
- I. Fushman, D. Englund, A. Faraon, N. Stoltz, P. Petroff, and J. Vuckovic, “Controlled phase shifts with a single quantum dot,” Science 320, 769–772 (2008). [CrossRef]
- H.-Y. Lo, P.-C. Su, and Y.-F. Chen, “Low-light-level cross-phase modulation by quantum interference,” Phys. Rev. A 81, 053829 (2010). [CrossRef]
- J. Gea-Banacloche, “Impossibility of large phase shifts via the giant Kerr effect with single-photon wave packets,” Phys. Rev. A 81, 043823 (2010). [CrossRef]
- J. Shapiro, “Single-photon Kerr nonlinearities do not help quantum computation,” Phys. Rev. A 73, 062305 (2006). [CrossRef]
- J. H. Shapiro and M. Razavi, “Continuous-time cross-phase modulation and quantum computation,” New J. Phys. 9, 16 (2007). [CrossRef]
- B. He, Q. Lin, and C. Simon, “Cross-Kerr nonlinearity between continuous-mode coherent states and single photons,” Phys. Rev. A 83, 053826 (2011). [CrossRef]
- A. Feizpour, X. Xing, and A. M. Steinberg, “Amplifying single-photon nonlinearity using weak measurements,” Phys. Rev. Lett. 107, 133603 (2011). [CrossRef]
- M. Siomau, A. A. Kamli, S. A. Moiseev, and B. C. Sanders, “Entanglement creation with negative index metamaterials,” Phys. Rev. A 85, 050303(R) (2012). [CrossRef]
- X.-M. Jin, J.-G. Ren, B. Yang, Z.-H. Yi, F. Zhou, X.-F. Xu, S.-K. Wang, D. Yang, Y.-F. Hu, S. Jiang, T. Yang, H. Yin, K. Chen, C.-Z. Peng, and J.-W. Pan, “Experimental free-space quantum teleportation,” Nat. Photonics 4, 376–381 (2010). [CrossRef]
- S. Phoenix, “Wave-packet evolution in the damped oscillator,” Phys. Rev. A 41, 5132–5138 (1990). [CrossRef]
- H. Jeong, “Quantum computation using weak nonlinearities: robustness against decoherence,” Phys. Rev. A 73, 052320 (2006). [CrossRef]
- S. G. R. Louis, W. J. Munro, T. P. Spiller, and K. Nemoto, “Loss in hybrid qubit-bus couplings and gates,” Phys. Rev. A 78, 022326 (2008). [CrossRef]
- C. C. Gerry and T. Bui, “Quantum non-demolition measurement of photon number using weak nonlinearities,” Phys. Lett. A 372, 7101–7104 (2008). [CrossRef]
- X.-s. Ma, S. Zotter, J. Kofler, T. Jennewein, and A. Zeilinger, “Experimental generation of single photons via active multiplexing,” Phys. Rev. A 83, 043814 (2011). [CrossRef]
- Q. Guo, J. Bai, L.-Y. Cheng, X.-Q. Shao, H.-F. Wang, and S. Zhang, “Simplified optical quantum-information processing via weak cross-Kerr nonlinearities,” Phys. Rev. A 83, 054303 (2011). [CrossRef]
- D. Braje, V. Balić, G. Yin, and S. Harris, “Low-light-level nonlinear optics with slow light,” Phys. Rev. A 68, 041801(R) (2003). [CrossRef]
- A. Barenco, D. Deutsch, A. Ekert, and R. Jozsa, “Conditional quantum dynamics and logic gates,” Phys. Rev. Lett. 74, 4083–4086 (1995). [CrossRef]
- S. D. Barrett and G. J. Milburn, “Quantum-information processing via a lossy bus,” Phys. Rev. A 74, 060302(R) (2006). [CrossRef]
- S. D. Barrett, P. Kok, K. Nemoto, R. G. Beausoleil, W. J. Munro, and T. P. Spiller, “Symmetry analyzer for nondestructive Bell-state detection using weak nonlinearities,” Phys. Rev. A 71, 060302(R) (2005).
- S. D. Barrett, P. Kok, K. Nemoto, R. G. Beausoleil, W. J. Munro, and T. P. Spiller, “Symmetry analyzer for nondestructive Bell-state detection using weak nonlinearities,” Phys. Rev. A 71, 060302(R) (2005).
- W. J. Munro, K. Nemoto, R. G. Beausoleil, and T. P. Spiller, “High-efficiency quantum-nondemolition single-photon-number-resolving detector,” Phys. Rev. A 71, 033819 (2005). [CrossRef]
- F. Schmidt-Kaler, H. Häffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Nature 422, 408–411 (2003). [CrossRef]
- B. He, Y. Ren, and J. Bergou, “Creation of high-quality long-distance entanglement with flexible resources,” Phys. Rev. A 79, 052323 (2009). [CrossRef]
- B. He, J. Bergou, and Y. Ren, “Universal discriminator for completely unknown optical qubits,” Phys. Rev. A 76, 032301 (2007). [CrossRef]
- B. He, Y.-H. Ren, and J. A. Bergou, “Universal entangler with photon pairs in arbitrary states,” J. Phys. B 43, 025502 (2010). [CrossRef]
- M. Mariantoni, H. Wang, T. Yamamoto, M. Neeley, R. C. Bialczak, Y. Chen, M. Lenander, E. Lucero, A. D. OConnell, D. Sank, M. Weides, J. Wenner, Y. Yin, J. Zhao, A. N. Korotkov, A. N. Cleland, and J. M. Martinis, “Implementing the quantum von Neumann architecture with superconducting circuits,” Science 334, 61–65 (2011). [CrossRef]
- F. Schmidt-Kaler, H. Häffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Nature 422, 408–411 (2003). [CrossRef]
- D. Braje, V. Balić, G. Yin, and S. Harris, “Low-light-level nonlinear optics with slow light,” Phys. Rev. A 68, 041801(R) (2003). [CrossRef]
- C. C. Gerry and T. Bui, “Quantum non-demolition measurement of photon number using weak nonlinearities,” Phys. Lett. A 372, 7101–7104 (2008). [CrossRef]
- E. Nielsen, R. Muller, and M. Carroll, “Configuration interaction calculations of the controlled phase gate in double quantum dot qubits,” Phys. Rev. B 85, 035319 (2012). [CrossRef]
- C. Weedbrook, S. Pirandola, R. Garca-Patrón, N. Cerf, T. Ralph, J. Shapiro, and S. Lloyd, “Gaussian quantum information,” Rev. Mod. Phys. 84, 621–669 (2012). [CrossRef]
- K. Lemr, a. Černoch, J. Soubusta, K. Kieling, J. Eisert, and M. Dušek, “Experimental implementation of the optimal linear-optical controlled phase gate,” Phys. Rev. Lett. 106, 013602 (2011). [CrossRef]
- X.-M. Jin, J.-G. Ren, B. Yang, Z.-H. Yi, F. Zhou, X.-F. Xu, S.-K. Wang, D. Yang, Y.-F. Hu, S. Jiang, T. Yang, H. Yin, K. Chen, C.-Z. Peng, and J.-W. Pan, “Experimental free-space quantum teleportation,” Nat. Photonics 4, 376–381 (2010). [CrossRef]
- M. Mariantoni, H. Wang, T. Yamamoto, M. Neeley, R. C. Bialczak, Y. Chen, M. Lenander, E. Lucero, A. D. OConnell, D. Sank, M. Weides, J. Wenner, Y. Yin, J. Zhao, A. N. Korotkov, A. N. Cleland, and J. M. Martinis, “Implementing the quantum von Neumann architecture with superconducting circuits,” Science 334, 61–65 (2011). [CrossRef]
- H.-Y. Lo, P.-C. Su, and Y.-F. Chen, “Low-light-level cross-phase modulation by quantum interference,” Phys. Rev. A 81, 053829 (2010). [CrossRef]
- J.-W. Pan, Z.-B. Chen, C.-Y. Lu, H. Weinfurter, A. Zeilinger, and M. Zukowski, “Multiphoton entanglement and interferometry,” Rev. Mod. Phys. 84, 777–838 (2012). [CrossRef]
- Q. Guo, J. Bai, L.-Y. Cheng, X.-Q. Shao, H.-F. Wang, and S. Zhang, “Simplified optical quantum-information processing via weak cross-Kerr nonlinearities,” Phys. Rev. A 83, 054303 (2011). [CrossRef]
- K. S. Choi, H. Deng, J. Laurat, and H. J. Kimble, “Mapping photonic entanglement into and out of a quantum memory,” Nature 452, 67–71 (2008). [CrossRef]
- I. Chuang and Y. Yamamoto, “Simple quantum computer,” Phys. Rev. A 52, 3489–3496 (1995). [CrossRef]
- M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University, 2000).
- J. Cirac and P. Zoller, “Quantum computations with cold trapped ions,” Phys. Rev. Lett. 74, 4091–4094 (1995). [CrossRef]
- M. Mariantoni, H. Wang, T. Yamamoto, M. Neeley, R. C. Bialczak, Y. Chen, M. Lenander, E. Lucero, A. D. OConnell, D. Sank, M. Weides, J. Wenner, Y. Yin, J. Zhao, A. N. Korotkov, A. N. Cleland, and J. M. Martinis, “Implementing the quantum von Neumann architecture with superconducting circuits,” Science 334, 61–65 (2011). [CrossRef]
- F.-G. Deng, “Efficient multipartite entanglement purification with the entanglement link from a subspace,” Phys. Rev. A 84, 052312 (2011). [CrossRef]
- Y.-B. Sheng, F.-G. Deng, and G.-L. Long, “Complete hyperentangled-Bell-state analysis for quantum communication,” Phys. Rev. A 82, 032318 (2010). [CrossRef]
- Y.-B. Sheng, F.-G. Deng, and H.-Y. Zhou, “Nonlocal entanglement concentration scheme for partially entangled multipartite systems with nonlinear optics,” Phys. Rev. A 77, 062325 (2008). [CrossRef]
- K. S. Choi, H. Deng, J. Laurat, and H. J. Kimble, “Mapping photonic entanglement into and out of a quantum memory,” Nature 452, 67–71 (2008). [CrossRef]
- F. Schmidt-Kaler, H. Häffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Nature 422, 408–411 (2003). [CrossRef]
- A. Barenco, D. Deutsch, A. Ekert, and R. Jozsa, “Conditional quantum dynamics and logic gates,” Phys. Rev. Lett. 74, 4083–4086 (1995). [CrossRef]
- X.-M. Xiu, L. Dong, Y.-J. Gao, and X. X. Yi, “Nearly deterministic controlled-not gate with weak cross-Kerr nonlinearities,” Quantum Inf. Comput. 12, 0159–0170 (2012).
- P. Kok, H. Lee, and J. Dowling, “Single-photon quantum-nondemolition detectors constructed with linear optics and projective measurements,” Phys. Rev. A 66, 063814 (2002). [CrossRef]
- P. Kok, K. Nemoto, T. C. Ralph, J. P. Dowling, and G. J. Milburn, “Linear optical quantum computing with photonic qubits,” Rev. Mod. Phys. 79, 135–174 (2007). [CrossRef]
- L.-M. Duan and H. Kimble, “Scalable photonic quantum computation through cavity-assisted interactions,” Phys. Rev. Lett. 92, 127902 (2004). [CrossRef]
- K. Lemr, a. Černoch, J. Soubusta, K. Kieling, J. Eisert, and M. Dušek, “Experimental implementation of the optimal linear-optical controlled phase gate,” Phys. Rev. Lett. 106, 013602 (2011). [CrossRef]
- K. Lemr, a. Černoch, J. Soubusta, K. Kieling, J. Eisert, and M. Dušek, “Experimental implementation of the optimal linear-optical controlled phase gate,” Phys. Rev. Lett. 106, 013602 (2011). [CrossRef]
- K. Kieling, J. L. OBrien, and J. Eisert, “On photonic controlled phase gates,” New J. Phys. 12, 013003 (2010). [CrossRef]
- A. Barenco, D. Deutsch, A. Ekert, and R. Jozsa, “Conditional quantum dynamics and logic gates,” Phys. Rev. Lett. 74, 4083–4086 (1995). [CrossRef]
- I. Fushman, D. Englund, A. Faraon, N. Stoltz, P. Petroff, and J. Vuckovic, “Controlled phase shifts with a single quantum dot,” Science 320, 769–772 (2008). [CrossRef]
- F. Schmidt-Kaler, H. Häffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Nature 422, 408–411 (2003). [CrossRef]
- I. Fushman, D. Englund, A. Faraon, N. Stoltz, P. Petroff, and J. Vuckovic, “Controlled phase shifts with a single quantum dot,” Science 320, 769–772 (2008). [CrossRef]
- A. Feizpour, X. Xing, and A. M. Steinberg, “Amplifying single-photon nonlinearity using weak measurements,” Phys. Rev. Lett. 107, 133603 (2011). [CrossRef]
- T. Pittman, B. Jacobs, and J. Franson, “Probabilistic quantum logic operations using polarizing beam splitters,” Phys. Rev. A 64, 062311 (2001). [CrossRef]
- R. Ukai, S. Yokoyama, J.-i. Yoshikawa, P. van Loock, and A. Furusawa, “Demonstration of a controlled-phase gate for continuous-variable one-way quantum computation,” Phys. Rev. Lett. 107, 250501 (2011). [CrossRef]
- I. Fushman, D. Englund, A. Faraon, N. Stoltz, P. Petroff, and J. Vuckovic, “Controlled phase shifts with a single quantum dot,” Science 320, 769–772 (2008). [CrossRef]
- X.-M. Xiu, L. Dong, Y.-J. Gao, and X. X. Yi, “Nearly deterministic controlled-not gate with weak cross-Kerr nonlinearities,” Quantum Inf. Comput. 12, 0159–0170 (2012).
- C. Weedbrook, S. Pirandola, R. Garca-Patrón, N. Cerf, T. Ralph, J. Shapiro, and S. Lloyd, “Gaussian quantum information,” Rev. Mod. Phys. 84, 621–669 (2012). [CrossRef]
- C. W. Gardiner and P. Zoller, Quantum Noise (Springer, 2000).
- J. Gea-Banacloche, “Impossibility of large phase shifts via the giant Kerr effect with single-photon wave packets,” Phys. Rev. A 81, 043823 (2010). [CrossRef]
- C. C. Gerry and T. Bui, “Quantum non-demolition measurement of photon number using weak nonlinearities,” Phys. Lett. A 372, 7101–7104 (2008). [CrossRef]
- P. Grangier, J. A. Levenson, and J.-P. Poizat, “Quantum non-demolition measurements in optics,” Nature 396, 537–542 (1998). [CrossRef]
- F. Schmidt-Kaler, H. Häffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Nature 422, 408–411 (2003). [CrossRef]
- X. Zou, S. Zhang, K. Li, and G. Guo, “Linear optical implementation of the two-qubit controlled phase gate with conventional photon detectors,” Phys. Rev. A 75, 034302 (2007). [CrossRef]
- X. Zou, K. Li, and G. Guo, “Linear optical scheme for direct implementation of a nondestructive N-qubit controlled phase gate,” Phys. Rev. A 74, 044305 (2006). [CrossRef]
- Y.-F. Xiao, X.-B. Zou, and G.-C. Guo, “One-step implementation of an N-qubit controlled-phase gate with neutral atoms trapped in an optical cavity,” Phys. Rev. A 75, 054303 (2007). [CrossRef]
- X.-M. Lin, Z.-W. Zhou, M.-Y. Ye, Y.-F. Xiao, and G.-C. Guo, “One-step implementation of a multiqubit controlled-phase-flip gate,” Phys. Rev. A 73, 012323 (2006). [CrossRef]
- Q. Guo, J. Bai, L.-Y. Cheng, X.-Q. Shao, H.-F. Wang, and S. Zhang, “Simplified optical quantum-information processing via weak cross-Kerr nonlinearities,” Phys. Rev. A 83, 054303 (2011). [CrossRef]
- F. Schmidt-Kaler, H. Häffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Nature 422, 408–411 (2003). [CrossRef]
- D. Braje, V. Balić, G. Yin, and S. Harris, “Low-light-level nonlinear optics with slow light,” Phys. Rev. A 68, 041801(R) (2003). [CrossRef]
- S. Harris and L. Hau, “Nonlinear optics at low light levels,” Phys. Rev. Lett. 82, 4611–4614 (1999). [CrossRef]
- S. Harris and L. Hau, “Nonlinear optics at low light levels,” Phys. Rev. Lett. 82, 4611–4614 (1999). [CrossRef]
- B. He, Q. Lin, and C. Simon, “Cross-Kerr nonlinearity between continuous-mode coherent states and single photons,” Phys. Rev. A 83, 053826 (2011). [CrossRef]
- B. He, Y.-H. Ren, and J. A. Bergou, “Universal entangler with photon pairs in arbitrary states,” J. Phys. B 43, 025502 (2010). [CrossRef]
- B. He, Y. Ren, and J. Bergou, “Creation of high-quality long-distance entanglement with flexible resources,” Phys. Rev. A 79, 052323 (2009). [CrossRef]
- Q. Lin and B. He, “Single-photon logic gates using minimal resources,” Phys. Rev. A 80, 042310 (2009). [CrossRef]
- B. He, J. Bergou, and Y. Ren, “Universal discriminator for completely unknown optical qubits,” Phys. Rev. A 76, 032301 (2007). [CrossRef]
- H. F. Hofmann, K. Kojima, S. Takeuchi, and K. Sasaki, “Optimized phase switching using a single-atom nonlinearity,” J. Opt. B 5, 218–221 (2003). [CrossRef]
- Q. A. Turchette, C. J. Hood, W. Lange, H. Mabuchi, and H. J. Kimble, “Measurement of conditional phase shifts for quantum logic,” Phys. Rev. Lett. 75, 4710–4713 (1995). [CrossRef]
- X.-M. Jin, J.-G. Ren, B. Yang, Z.-H. Yi, F. Zhou, X.-F. Xu, S.-K. Wang, D. Yang, Y.-F. Hu, S. Jiang, T. Yang, H. Yin, K. Chen, C.-Z. Peng, and J.-W. Pan, “Experimental free-space quantum teleportation,” Nat. Photonics 4, 376–381 (2010). [CrossRef]
- M. Koashi, T. Yamamoto, and N. Imoto, “Probabilistic manipulation of entangled photons,” Phys. Rev. A 63, 030301(R) (2001). [CrossRef]
- T. Pittman, B. Jacobs, and J. Franson, “Probabilistic quantum logic operations using polarizing beam splitters,” Phys. Rev. A 64, 062311 (2001). [CrossRef]
- X.-s. Ma, S. Zotter, N. Tetik, A. Qarry, T. Jennewein, and A. Zeilinger, “A high-speed tunable beam splitter for feed-forward photonic quantum information processing,” Opt. Express 19, 22723–22730 (2011). [CrossRef]
- X.-s. Ma, S. Zotter, J. Kofler, T. Jennewein, and A. Zeilinger, “Experimental generation of single photons via active multiplexing,” Phys. Rev. A 83, 043814 (2011). [CrossRef]
- H. Jeong, “Quantum computation using weak nonlinearities: robustness against decoherence,” Phys. Rev. A 73, 052320 (2006). [CrossRef]
- M.-F. Wang, N.-Q. Jiang, Q.-L. Jin, and Y.-Z. Zheng, “Continuous-variable controlled-Z gate using an atomic ensemble,” Phys. Rev. A 83, 062339 (2011). [CrossRef]
- X.-M. Jin, J.-G. Ren, B. Yang, Z.-H. Yi, F. Zhou, X.-F. Xu, S.-K. Wang, D. Yang, Y.-F. Hu, S. Jiang, T. Yang, H. Yin, K. Chen, C.-Z. Peng, and J.-W. Pan, “Experimental free-space quantum teleportation,” Nat. Photonics 4, 376–381 (2010). [CrossRef]
- C. Wang, Y. Zhang, and G.-S. Jin, “Polarization-entanglement purification and concentration using cross-kerr nonlinearity,” Quantum Inf. Comput. 11, 0988–1002 (2011).
- M.-F. Wang, N.-Q. Jiang, Q.-L. Jin, and Y.-Z. Zheng, “Continuous-variable controlled-Z gate using an atomic ensemble,” Phys. Rev. A 83, 062339 (2011). [CrossRef]
- X.-M. Jin, J.-G. Ren, B. Yang, Z.-H. Yi, F. Zhou, X.-F. Xu, S.-K. Wang, D. Yang, Y.-F. Hu, S. Jiang, T. Yang, H. Yin, K. Chen, C.-Z. Peng, and J.-W. Pan, “Experimental free-space quantum teleportation,” Nat. Photonics 4, 376–381 (2010). [CrossRef]
- A. Barenco, D. Deutsch, A. Ekert, and R. Jozsa, “Conditional quantum dynamics and logic gates,” Phys. Rev. Lett. 74, 4083–4086 (1995). [CrossRef]
- M. Siomau, A. A. Kamli, S. A. Moiseev, and B. C. Sanders, “Entanglement creation with negative index metamaterials,” Phys. Rev. A 85, 050303(R) (2012). [CrossRef]
- K. Lemr, a. Černoch, J. Soubusta, K. Kieling, J. Eisert, and M. Dušek, “Experimental implementation of the optimal linear-optical controlled phase gate,” Phys. Rev. Lett. 106, 013602 (2011). [CrossRef]
- K. Kieling, J. L. OBrien, and J. Eisert, “On photonic controlled phase gates,” New J. Phys. 12, 013003 (2010). [CrossRef]
- L.-M. Duan and H. Kimble, “Scalable photonic quantum computation through cavity-assisted interactions,” Phys. Rev. Lett. 92, 127902 (2004). [CrossRef]
- K. S. Choi, H. Deng, J. Laurat, and H. J. Kimble, “Mapping photonic entanglement into and out of a quantum memory,” Nature 452, 67–71 (2008). [CrossRef]
- Q. A. Turchette, C. J. Hood, W. Lange, H. Mabuchi, and H. J. Kimble, “Measurement of conditional phase shifts for quantum logic,” Phys. Rev. Lett. 75, 4710–4713 (1995). [CrossRef]
- T. Kippenberg, S. Spillane, and K. Vahala, “Kerr-nonlinearity optical parametric oscillation in an ultrahigh-Q toroid microcavity,” Phys. Rev. Lett. 93, 083904 (2004). [CrossRef]
- E. Knill, “Bounds on the probability of success of postselected nonlinear sign shifts implemented with linear optics,” Phys. Rev. A 68, 064303 (2003). [CrossRef]
- E. Knill, R. Laflamme, and G. J. Milburn, “A scheme for efficient quantum computation with linear optics,” Nature 409, 46–52 (2001). [CrossRef]
- M. Koashi, T. Yamamoto, and N. Imoto, “Probabilistic manipulation of entangled photons,” Phys. Rev. A 63, 030301(R) (2001). [CrossRef]
- X.-s. Ma, S. Zotter, J. Kofler, T. Jennewein, and A. Zeilinger, “Experimental generation of single photons via active multiplexing,” Phys. Rev. A 83, 043814 (2011). [CrossRef]
- H. F. Hofmann, K. Kojima, S. Takeuchi, and K. Sasaki, “Optimized phase switching using a single-atom nonlinearity,” J. Opt. B 5, 218–221 (2003). [CrossRef]
- P. Kok, K. Nemoto, T. C. Ralph, J. P. Dowling, and G. J. Milburn, “Linear optical quantum computing with photonic qubits,” Rev. Mod. Phys. 79, 135–174 (2007). [CrossRef]
- S. D. Barrett, P. Kok, K. Nemoto, R. G. Beausoleil, W. J. Munro, and T. P. Spiller, “Symmetry analyzer for nondestructive Bell-state detection using weak nonlinearities,” Phys. Rev. A 71, 060302(R) (2005).
- P. Kok, H. Lee, and J. Dowling, “Single-photon quantum-nondemolition detectors constructed with linear optics and projective measurements,” Phys. Rev. A 66, 063814 (2002). [CrossRef]
- M. Mariantoni, H. Wang, T. Yamamoto, M. Neeley, R. C. Bialczak, Y. Chen, M. Lenander, E. Lucero, A. D. OConnell, D. Sank, M. Weides, J. Wenner, Y. Yin, J. Zhao, A. N. Korotkov, A. N. Cleland, and J. M. Martinis, “Implementing the quantum von Neumann architecture with superconducting circuits,” Science 334, 61–65 (2011). [CrossRef]
- X.-W. Wang, D.-Y. Zhang, S.-Q. Tang, L.-J. Xie, Z.-Y. Wang, and L.-M. Kuang, “Photonic two-qubit parity gate with tiny cross-Kerr nonlinearity,” Phys. Rev. A 85, 052326 (2012). [CrossRef]
- X. Li, P. Voss, J. Sharping, and P. Kumar, “Optical-fiber source of polarization-entangled photons in the 1550 nm telecom band,” Phys. Rev. Lett. 94, 053601 (2005). [CrossRef]
- E. Knill, R. Laflamme, and G. J. Milburn, “A scheme for efficient quantum computation with linear optics,” Nature 409, 46–52 (2001). [CrossRef]
- F. Schmidt-Kaler, H. Häffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Nature 422, 408–411 (2003). [CrossRef]
- Q. A. Turchette, C. J. Hood, W. Lange, H. Mabuchi, and H. J. Kimble, “Measurement of conditional phase shifts for quantum logic,” Phys. Rev. Lett. 75, 4710–4713 (1995). [CrossRef]
- K. S. Choi, H. Deng, J. Laurat, and H. J. Kimble, “Mapping photonic entanglement into and out of a quantum memory,” Nature 452, 67–71 (2008). [CrossRef]
- P. Kok, H. Lee, and J. Dowling, “Single-photon quantum-nondemolition detectors constructed with linear optics and projective measurements,” Phys. Rev. A 66, 063814 (2002). [CrossRef]
- K. Lemr, a. Černoch, J. Soubusta, K. Kieling, J. Eisert, and M. Dušek, “Experimental implementation of the optimal linear-optical controlled phase gate,” Phys. Rev. Lett. 106, 013602 (2011). [CrossRef]
- M. Mariantoni, H. Wang, T. Yamamoto, M. Neeley, R. C. Bialczak, Y. Chen, M. Lenander, E. Lucero, A. D. OConnell, D. Sank, M. Weides, J. Wenner, Y. Yin, J. Zhao, A. N. Korotkov, A. N. Cleland, and J. M. Martinis, “Implementing the quantum von Neumann architecture with superconducting circuits,” Science 334, 61–65 (2011). [CrossRef]
- P. Grangier, J. A. Levenson, and J.-P. Poizat, “Quantum non-demolition measurements in optics,” Nature 396, 537–542 (1998). [CrossRef]
- Q. Lin and J. Li, “Quantum control gates with weak cross-Kerr nonlinearity,” Phys. Rev. A 79, 022301 (2009). [CrossRef]
- X. Zou, S. Zhang, K. Li, and G. Guo, “Linear optical implementation of the two-qubit controlled phase gate with conventional photon detectors,” Phys. Rev. A 75, 034302 (2007). [CrossRef]
- X. Zou, K. Li, and G. Guo, “Linear optical scheme for direct implementation of a nondestructive N-qubit controlled phase gate,” Phys. Rev. A 74, 044305 (2006). [CrossRef]
- X. Li, P. Voss, J. Sharping, and P. Kumar, “Optical-fiber source of polarization-entangled photons in the 1550 nm telecom band,” Phys. Rev. Lett. 94, 053601 (2005). [CrossRef]
- B. He, Q. Lin, and C. Simon, “Cross-Kerr nonlinearity between continuous-mode coherent states and single photons,” Phys. Rev. A 83, 053826 (2011). [CrossRef]
- Q. Lin and J. Li, “Quantum control gates with weak cross-Kerr nonlinearity,” Phys. Rev. A 79, 022301 (2009). [CrossRef]
- Q. Lin and B. He, “Single-photon logic gates using minimal resources,” Phys. Rev. A 80, 042310 (2009). [CrossRef]
- X.-M. Lin, Z.-W. Zhou, M.-Y. Ye, Y.-F. Xiao, and G.-C. Guo, “One-step implementation of a multiqubit controlled-phase-flip gate,” Phys. Rev. A 73, 012323 (2006). [CrossRef]
- C. Weedbrook, S. Pirandola, R. Garca-Patrón, N. Cerf, T. Ralph, J. Shapiro, and S. Lloyd, “Gaussian quantum information,” Rev. Mod. Phys. 84, 621–669 (2012). [CrossRef]
- H.-Y. Lo, P.-C. Su, and Y.-F. Chen, “Low-light-level cross-phase modulation by quantum interference,” Phys. Rev. A 81, 053829 (2010). [CrossRef]
- Y.-B. Sheng, F.-G. Deng, and G.-L. Long, “Complete hyperentangled-Bell-state analysis for quantum communication,” Phys. Rev. A 82, 032318 (2010). [CrossRef]
- S. G. R. Louis, W. J. Munro, T. P. Spiller, and K. Nemoto, “Loss in hybrid qubit-bus couplings and gates,” Phys. Rev. A 78, 022326 (2008). [CrossRef]
- J.-W. Pan, Z.-B. Chen, C.-Y. Lu, H. Weinfurter, A. Zeilinger, and M. Zukowski, “Multiphoton entanglement and interferometry,” Rev. Mod. Phys. 84, 777–838 (2012). [CrossRef]
- Y. Xia, J. Song, P.-M. Lu, and H.-S. Song, “Efficient implementation of the two-qubit controlled phase gate with cross-Kerr nonlinearity,” J. Phys. B 44, 025503 (2011). [CrossRef]
- Y. Xia, J. Song, P.-M. Lu, and H.-S. Song, “Effective quantum teleportation of an atomic state between two cavities with the cross-Kerr nonlinearity by interference of polarized photons,” J. Appl. Phys. 109, 103111 (2011). [CrossRef]
- M. Mariantoni, H. Wang, T. Yamamoto, M. Neeley, R. C. Bialczak, Y. Chen, M. Lenander, E. Lucero, A. D. OConnell, D. Sank, M. Weides, J. Wenner, Y. Yin, J. Zhao, A. N. Korotkov, A. N. Cleland, and J. M. Martinis, “Implementing the quantum von Neumann architecture with superconducting circuits,” Science 334, 61–65 (2011). [CrossRef]
- X.-s. Ma, S. Zotter, N. Tetik, A. Qarry, T. Jennewein, and A. Zeilinger, “A high-speed tunable beam splitter for feed-forward photonic quantum information processing,” Opt. Express 19, 22723–22730 (2011). [CrossRef]
- X.-s. Ma, S. Zotter, J. Kofler, T. Jennewein, and A. Zeilinger, “Experimental generation of single photons via active multiplexing,” Phys. Rev. A 83, 043814 (2011). [CrossRef]
- Q. A. Turchette, C. J. Hood, W. Lange, H. Mabuchi, and H. J. Kimble, “Measurement of conditional phase shifts for quantum logic,” Phys. Rev. Lett. 75, 4710–4713 (1995). [CrossRef]
- M. Mariantoni, H. Wang, T. Yamamoto, M. Neeley, R. C. Bialczak, Y. Chen, M. Lenander, E. Lucero, A. D. OConnell, D. Sank, M. Weides, J. Wenner, Y. Yin, J. Zhao, A. N. Korotkov, A. N. Cleland, and J. M. Martinis, “Implementing the quantum von Neumann architecture with superconducting circuits,” Science 334, 61–65 (2011). [CrossRef]
- M. Mariantoni, H. Wang, T. Yamamoto, M. Neeley, R. C. Bialczak, Y. Chen, M. Lenander, E. Lucero, A. D. OConnell, D. Sank, M. Weides, J. Wenner, Y. Yin, J. Zhao, A. N. Korotkov, A. N. Cleland, and J. M. Martinis, “Implementing the quantum von Neumann architecture with superconducting circuits,” Science 334, 61–65 (2011). [CrossRef]
- P. Kok, K. Nemoto, T. C. Ralph, J. P. Dowling, and G. J. Milburn, “Linear optical quantum computing with photonic qubits,” Rev. Mod. Phys. 79, 135–174 (2007). [CrossRef]
- S. D. Barrett and G. J. Milburn, “Quantum-information processing via a lossy bus,” Phys. Rev. A 74, 060302(R) (2006). [CrossRef]
- E. Knill, R. Laflamme, and G. J. Milburn, “A scheme for efficient quantum computation with linear optics,” Nature 409, 46–52 (2001). [CrossRef]
- M. Siomau, A. A. Kamli, S. A. Moiseev, and B. C. Sanders, “Entanglement creation with negative index metamaterials,” Phys. Rev. A 85, 050303(R) (2012). [CrossRef]
- A. Sørensen and K. Mølmer, “Quantum computation with ions in thermal motion,” Phys. Rev. Lett. 82, 1971–1974 (1999). [CrossRef]
- E. Nielsen, R. Muller, and M. Carroll, “Configuration interaction calculations of the controlled phase gate in double quantum dot qubits,” Phys. Rev. B 85, 035319 (2012). [CrossRef]
- S. G. R. Louis, W. J. Munro, T. P. Spiller, and K. Nemoto, “Loss in hybrid qubit-bus couplings and gates,” Phys. Rev. A 78, 022326 (2008). [CrossRef]
- W. J. Munro, K. Nemoto, and T. P. Spiller, “Weak nonlinearities: a new route to optical quantum computation,” New J. Phys. 7, 137 (2005). [CrossRef]
- S. D. Barrett, P. Kok, K. Nemoto, R. G. Beausoleil, W. J. Munro, and T. P. Spiller, “Symmetry analyzer for nondestructive Bell-state detection using weak nonlinearities,” Phys. Rev. A 71, 060302(R) (2005).
- W. J. Munro, K. Nemoto, R. G. Beausoleil, and T. P. Spiller, “High-efficiency quantum-nondemolition single-photon-number-resolving detector,” Phys. Rev. A 71, 033819 (2005). [CrossRef]
- K. Nemoto and W. J. Munro, “Nearly deterministic linear optical controlled-NOT gate,” Phys. Rev. Lett. 93, 250502 (2004). [CrossRef]
- M. Mariantoni, H. Wang, T. Yamamoto, M. Neeley, R. C. Bialczak, Y. Chen, M. Lenander, E. Lucero, A. D. OConnell, D. Sank, M. Weides, J. Wenner, Y. Yin, J. Zhao, A. N. Korotkov, A. N. Cleland, and J. M. Martinis, “Implementing the quantum von Neumann architecture with superconducting circuits,” Science 334, 61–65 (2011). [CrossRef]
- S. G. R. Louis, W. J. Munro, T. P. Spiller, and K. Nemoto, “Loss in hybrid qubit-bus couplings and gates,” Phys. Rev. A 78, 022326 (2008). [CrossRef]
- P. Kok, K. Nemoto, T. C. Ralph, J. P. Dowling, and G. J. Milburn, “Linear optical quantum computing with photonic qubits,” Rev. Mod. Phys. 79, 135–174 (2007). [CrossRef]
- W. J. Munro, K. Nemoto, and T. P. Spiller, “Weak nonlinearities: a new route to optical quantum computation,” New J. Phys. 7, 137 (2005). [CrossRef]
- S. D. Barrett, P. Kok, K. Nemoto, R. G. Beausoleil, W. J. Munro, and T. P. Spiller, “Symmetry analyzer for nondestructive Bell-state detection using weak nonlinearities,” Phys. Rev. A 71, 060302(R) (2005).
- W. J. Munro, K. Nemoto, R. G. Beausoleil, and T. P. Spiller, “High-efficiency quantum-nondemolition single-photon-number-resolving detector,” Phys. Rev. A 71, 033819 (2005). [CrossRef]
- K. Nemoto and W. J. Munro, “Nearly deterministic linear optical controlled-NOT gate,” Phys. Rev. Lett. 93, 250502 (2004). [CrossRef]
- E. Nielsen, R. Muller, and M. Carroll, “Configuration interaction calculations of the controlled phase gate in double quantum dot qubits,” Phys. Rev. B 85, 035319 (2012). [CrossRef]
- M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University, 2000).
- K. Kieling, J. L. OBrien, and J. Eisert, “On photonic controlled phase gates,” New J. Phys. 12, 013003 (2010). [CrossRef]
- M. Mariantoni, H. Wang, T. Yamamoto, M. Neeley, R. C. Bialczak, Y. Chen, M. Lenander, E. Lucero, A. D. OConnell, D. Sank, M. Weides, J. Wenner, Y. Yin, J. Zhao, A. N. Korotkov, A. N. Cleland, and J. M. Martinis, “Implementing the quantum von Neumann architecture with superconducting circuits,” Science 334, 61–65 (2011). [CrossRef]
- J.-W. Pan, Z.-B. Chen, C.-Y. Lu, H. Weinfurter, A. Zeilinger, and M. Zukowski, “Multiphoton entanglement and interferometry,” Rev. Mod. Phys. 84, 777–838 (2012). [CrossRef]
- X.-M. Jin, J.-G. Ren, B. Yang, Z.-H. Yi, F. Zhou, X.-F. Xu, S.-K. Wang, D. Yang, Y.-F. Hu, S. Jiang, T. Yang, H. Yin, K. Chen, C.-Z. Peng, and J.-W. Pan, “Experimental free-space quantum teleportation,” Nat. Photonics 4, 376–381 (2010). [CrossRef]
- X.-M. Jin, J.-G. Ren, B. Yang, Z.-H. Yi, F. Zhou, X.-F. Xu, S.-K. Wang, D. Yang, Y.-F. Hu, S. Jiang, T. Yang, H. Yin, K. Chen, C.-Z. Peng, and J.-W. Pan, “Experimental free-space quantum teleportation,” Nat. Photonics 4, 376–381 (2010). [CrossRef]
- I. Fushman, D. Englund, A. Faraon, N. Stoltz, P. Petroff, and J. Vuckovic, “Controlled phase shifts with a single quantum dot,” Science 320, 769–772 (2008). [CrossRef]
- S. Phoenix, “Wave-packet evolution in the damped oscillator,” Phys. Rev. A 41, 5132–5138 (1990). [CrossRef]
- C. Weedbrook, S. Pirandola, R. Garca-Patrón, N. Cerf, T. Ralph, J. Shapiro, and S. Lloyd, “Gaussian quantum information,” Rev. Mod. Phys. 84, 621–669 (2012). [CrossRef]
- T. Pittman, B. Jacobs, and J. Franson, “Probabilistic quantum logic operations using polarizing beam splitters,” Phys. Rev. A 64, 062311 (2001). [CrossRef]
- P. Grangier, J. A. Levenson, and J.-P. Poizat, “Quantum non-demolition measurements in optics,” Nature 396, 537–542 (1998). [CrossRef]
- C. Weedbrook, S. Pirandola, R. Garca-Patrón, N. Cerf, T. Ralph, J. Shapiro, and S. Lloyd, “Gaussian quantum information,” Rev. Mod. Phys. 84, 621–669 (2012). [CrossRef]
- P. Kok, K. Nemoto, T. C. Ralph, J. P. Dowling, and G. J. Milburn, “Linear optical quantum computing with photonic qubits,” Rev. Mod. Phys. 79, 135–174 (2007). [CrossRef]
- J. H. Shapiro and M. Razavi, “Continuous-time cross-phase modulation and quantum computation,” New J. Phys. 9, 16 (2007). [CrossRef]
- X.-M. Jin, J.-G. Ren, B. Yang, Z.-H. Yi, F. Zhou, X.-F. Xu, S.-K. Wang, D. Yang, Y.-F. Hu, S. Jiang, T. Yang, H. Yin, K. Chen, C.-Z. Peng, and J.-W. Pan, “Experimental free-space quantum teleportation,” Nat. Photonics 4, 376–381 (2010). [CrossRef]
- B. He, Y. Ren, and J. Bergou, “Creation of high-quality long-distance entanglement with flexible resources,” Phys. Rev. A 79, 052323 (2009). [CrossRef]
- B. He, J. Bergou, and Y. Ren, “Universal discriminator for completely unknown optical qubits,” Phys. Rev. A 76, 032301 (2007). [CrossRef]
- B. He, Y.-H. Ren, and J. A. Bergou, “Universal entangler with photon pairs in arbitrary states,” J. Phys. B 43, 025502 (2010). [CrossRef]
- F. Schmidt-Kaler, H. Häffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Nature 422, 408–411 (2003). [CrossRef]
- F. Schmidt-Kaler, H. Häffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Nature 422, 408–411 (2003). [CrossRef]
- M. Siomau, A. A. Kamli, S. A. Moiseev, and B. C. Sanders, “Entanglement creation with negative index metamaterials,” Phys. Rev. A 85, 050303(R) (2012). [CrossRef]
- M. Mariantoni, H. Wang, T. Yamamoto, M. Neeley, R. C. Bialczak, Y. Chen, M. Lenander, E. Lucero, A. D. OConnell, D. Sank, M. Weides, J. Wenner, Y. Yin, J. Zhao, A. N. Korotkov, A. N. Cleland, and J. M. Martinis, “Implementing the quantum von Neumann architecture with superconducting circuits,” Science 334, 61–65 (2011). [CrossRef]
- H. F. Hofmann, K. Kojima, S. Takeuchi, and K. Sasaki, “Optimized phase switching using a single-atom nonlinearity,” J. Opt. B 5, 218–221 (2003). [CrossRef]
- F. Schmidt-Kaler, H. Häffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Nature 422, 408–411 (2003). [CrossRef]
- M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge University, 1997).
- Q. Guo, J. Bai, L.-Y. Cheng, X.-Q. Shao, H.-F. Wang, and S. Zhang, “Simplified optical quantum-information processing via weak cross-Kerr nonlinearities,” Phys. Rev. A 83, 054303 (2011). [CrossRef]
- C. Weedbrook, S. Pirandola, R. Garca-Patrón, N. Cerf, T. Ralph, J. Shapiro, and S. Lloyd, “Gaussian quantum information,” Rev. Mod. Phys. 84, 621–669 (2012). [CrossRef]
- J. Shapiro, “Single-photon Kerr nonlinearities do not help quantum computation,” Phys. Rev. A 73, 062305 (2006). [CrossRef]
- J. H. Shapiro and M. Razavi, “Continuous-time cross-phase modulation and quantum computation,” New J. Phys. 9, 16 (2007). [CrossRef]
- X. Li, P. Voss, J. Sharping, and P. Kumar, “Optical-fiber source of polarization-entangled photons in the 1550 nm telecom band,” Phys. Rev. Lett. 94, 053601 (2005). [CrossRef]
- Y.-B. Sheng, L. Zhou, S.-M. Zhao, and B.-Y. Zheng, “Efficient single-photon-assisted entanglement concentration for partially entangled photon pairs,” Phys. Rev. A 85, 012307 (2012). [CrossRef]
- Y.-B. Sheng, L. Zhou, and S.-M. Zhao, “Efficient two-step entanglement concentration for arbitrary W states,” Phys. Rev. A 85, 042302 (2012). [CrossRef]
- Y.-B. Sheng, F.-G. Deng, and G.-L. Long, “Complete hyperentangled-Bell-state analysis for quantum communication,” Phys. Rev. A 82, 032318 (2010). [CrossRef]
- Y.-B. Sheng, F.-G. Deng, and H.-Y. Zhou, “Nonlocal entanglement concentration scheme for partially entangled multipartite systems with nonlinear optics,” Phys. Rev. A 77, 062325 (2008). [CrossRef]
- B. He, Q. Lin, and C. Simon, “Cross-Kerr nonlinearity between continuous-mode coherent states and single photons,” Phys. Rev. A 83, 053826 (2011). [CrossRef]
- M. K. Simon, Probability Distributions Involving Gaussian Random Variables, a Handbook for Engineers, Scientists and Mathematicians (Springer, 2006).
- M. Siomau, A. A. Kamli, S. A. Moiseev, and B. C. Sanders, “Entanglement creation with negative index metamaterials,” Phys. Rev. A 85, 050303(R) (2012). [CrossRef]
- Y. Xia, J. Song, P.-M. Lu, and H.-S. Song, “Efficient implementation of the two-qubit controlled phase gate with cross-Kerr nonlinearity,” J. Phys. B 44, 025503 (2011). [CrossRef]
- Y. Xia, J. Song, P.-M. Lu, and H.-S. Song, “Effective quantum teleportation of an atomic state between two cavities with the cross-Kerr nonlinearity by interference of polarized photons,” J. Appl. Phys. 109, 103111 (2011). [CrossRef]
- Y. Xia, J. Song, P.-M. Lu, and H.-S. Song, “Effective quantum teleportation of an atomic state between two cavities with the cross-Kerr nonlinearity by interference of polarized photons,” J. Appl. Phys. 109, 103111 (2011). [CrossRef]
- Y. Xia, J. Song, P.-M. Lu, and H.-S. Song, “Efficient implementation of the two-qubit controlled phase gate with cross-Kerr nonlinearity,” J. Phys. B 44, 025503 (2011). [CrossRef]
- Y. Xia, J. Song, Z.-B. Yang, and S.-B. Zheng, “Controlled implementation of two-photon controlled phase gate within a network,” Quantum Inf. Comput. 10, 0821–0828 (2010).
- A. Sørensen and K. Mølmer, “Quantum computation with ions in thermal motion,” Phys. Rev. Lett. 82, 1971–1974 (1999). [CrossRef]
- K. Lemr, a. Černoch, J. Soubusta, K. Kieling, J. Eisert, and M. Dušek, “Experimental implementation of the optimal linear-optical controlled phase gate,” Phys. Rev. Lett. 106, 013602 (2011). [CrossRef]
- T. Kippenberg, S. Spillane, and K. Vahala, “Kerr-nonlinearity optical parametric oscillation in an ultrahigh-Q toroid microcavity,” Phys. Rev. Lett. 93, 083904 (2004). [CrossRef]
- S. G. R. Louis, W. J. Munro, T. P. Spiller, and K. Nemoto, “Loss in hybrid qubit-bus couplings and gates,” Phys. Rev. A 78, 022326 (2008). [CrossRef]
- W. J. Munro, K. Nemoto, and T. P. Spiller, “Weak nonlinearities: a new route to optical quantum computation,” New J. Phys. 7, 137 (2005). [CrossRef]
- S. D. Barrett, P. Kok, K. Nemoto, R. G. Beausoleil, W. J. Munro, and T. P. Spiller, “Symmetry analyzer for nondestructive Bell-state detection using weak nonlinearities,” Phys. Rev. A 71, 060302(R) (2005).
- W. J. Munro, K. Nemoto, R. G. Beausoleil, and T. P. Spiller, “High-efficiency quantum-nondemolition single-photon-number-resolving detector,” Phys. Rev. A 71, 033819 (2005). [CrossRef]
- A. Feizpour, X. Xing, and A. M. Steinberg, “Amplifying single-photon nonlinearity using weak measurements,” Phys. Rev. Lett. 107, 133603 (2011). [CrossRef]
- I. Fushman, D. Englund, A. Faraon, N. Stoltz, P. Petroff, and J. Vuckovic, “Controlled phase shifts with a single quantum dot,” Science 320, 769–772 (2008). [CrossRef]
- H.-Y. Lo, P.-C. Su, and Y.-F. Chen, “Low-light-level cross-phase modulation by quantum interference,” Phys. Rev. A 81, 053829 (2010). [CrossRef]
- X. X. Yi, X. H. Su, and L. You, “Conditional quantum phase gate between two 3-state atoms,” Phys. Rev. Lett. 90, 097902 (2003). [CrossRef]
- L. You, X. X. Yi, and X. H. Su, “Quantum logic between atoms inside a high-Q optical cavity,” Phys. Rev. A 67, 032308 (2003). [CrossRef]
- H. F. Hofmann, K. Kojima, S. Takeuchi, and K. Sasaki, “Optimized phase switching using a single-atom nonlinearity,” J. Opt. B 5, 218–221 (2003). [CrossRef]
- X.-W. Wang, D.-Y. Zhang, S.-Q. Tang, and L.-J. Xie, “Nondestructive Greenberger–Horne–Zeilinger-state analyzer,” Quantum Inf. Process. 12, 1065–1075 (2013). [CrossRef]
- X.-W. Wang, D.-Y. Zhang, S.-Q. Tang, L.-J. Xie, Z.-Y. Wang, and L.-M. Kuang, “Photonic two-qubit parity gate with tiny cross-Kerr nonlinearity,” Phys. Rev. A 85, 052326 (2012). [CrossRef]
- Q. A. Turchette, C. J. Hood, W. Lange, H. Mabuchi, and H. J. Kimble, “Measurement of conditional phase shifts for quantum logic,” Phys. Rev. Lett. 75, 4710–4713 (1995). [CrossRef]
- R. Ukai, S. Yokoyama, J.-i. Yoshikawa, P. van Loock, and A. Furusawa, “Demonstration of a controlled-phase gate for continuous-variable one-way quantum computation,” Phys. Rev. Lett. 107, 250501 (2011). [CrossRef]
- T. Kippenberg, S. Spillane, and K. Vahala, “Kerr-nonlinearity optical parametric oscillation in an ultrahigh-Q toroid microcavity,” Phys. Rev. Lett. 93, 083904 (2004). [CrossRef]
- R. Ukai, S. Yokoyama, J.-i. Yoshikawa, P. van Loock, and A. Furusawa, “Demonstration of a controlled-phase gate for continuous-variable one-way quantum computation,” Phys. Rev. Lett. 107, 250501 (2011). [CrossRef]
- X. Li, P. Voss, J. Sharping, and P. Kumar, “Optical-fiber source of polarization-entangled photons in the 1550 nm telecom band,” Phys. Rev. Lett. 94, 053601 (2005). [CrossRef]
- I. Fushman, D. Englund, A. Faraon, N. Stoltz, P. Petroff, and J. Vuckovic, “Controlled phase shifts with a single quantum dot,” Science 320, 769–772 (2008). [CrossRef]
- C. Wang, Y. Zhang, and G.-S. Jin, “Polarization-entanglement purification and concentration using cross-kerr nonlinearity,” Quantum Inf. Comput. 11, 0988–1002 (2011).
- M. Mariantoni, H. Wang, T. Yamamoto, M. Neeley, R. C. Bialczak, Y. Chen, M. Lenander, E. Lucero, A. D. OConnell, D. Sank, M. Weides, J. Wenner, Y. Yin, J. Zhao, A. N. Korotkov, A. N. Cleland, and J. M. Martinis, “Implementing the quantum von Neumann architecture with superconducting circuits,” Science 334, 61–65 (2011). [CrossRef]
- Q. Guo, J. Bai, L.-Y. Cheng, X.-Q. Shao, H.-F. Wang, and S. Zhang, “Simplified optical quantum-information processing via weak cross-Kerr nonlinearities,” Phys. Rev. A 83, 054303 (2011). [CrossRef]
- M.-F. Wang, N.-Q. Jiang, Q.-L. Jin, and Y.-Z. Zheng, “Continuous-variable controlled-Z gate using an atomic ensemble,” Phys. Rev. A 83, 062339 (2011). [CrossRef]
- X.-M. Jin, J.-G. Ren, B. Yang, Z.-H. Yi, F. Zhou, X.-F. Xu, S.-K. Wang, D. Yang, Y.-F. Hu, S. Jiang, T. Yang, H. Yin, K. Chen, C.-Z. Peng, and J.-W. Pan, “Experimental free-space quantum teleportation,” Nat. Photonics 4, 376–381 (2010). [CrossRef]
- X.-W. Wang, D.-Y. Zhang, S.-Q. Tang, and L.-J. Xie, “Nondestructive Greenberger–Horne–Zeilinger-state analyzer,” Quantum Inf. Process. 12, 1065–1075 (2013). [CrossRef]
- X.-W. Wang, D.-Y. Zhang, S.-Q. Tang, L.-J. Xie, Z.-Y. Wang, and L.-M. Kuang, “Photonic two-qubit parity gate with tiny cross-Kerr nonlinearity,” Phys. Rev. A 85, 052326 (2012). [CrossRef]
- X.-W. Wang, D.-Y. Zhang, S.-Q. Tang, L.-J. Xie, Z.-Y. Wang, and L.-M. Kuang, “Photonic two-qubit parity gate with tiny cross-Kerr nonlinearity,” Phys. Rev. A 85, 052326 (2012). [CrossRef]
- C. Weedbrook, S. Pirandola, R. Garca-Patrón, N. Cerf, T. Ralph, J. Shapiro, and S. Lloyd, “Gaussian quantum information,” Rev. Mod. Phys. 84, 621–669 (2012). [CrossRef]
- M. Mariantoni, H. Wang, T. Yamamoto, M. Neeley, R. C. Bialczak, Y. Chen, M. Lenander, E. Lucero, A. D. OConnell, D. Sank, M. Weides, J. Wenner, Y. Yin, J. Zhao, A. N. Korotkov, A. N. Cleland, and J. M. Martinis, “Implementing the quantum von Neumann architecture with superconducting circuits,” Science 334, 61–65 (2011). [CrossRef]
- J.-W. Pan, Z.-B. Chen, C.-Y. Lu, H. Weinfurter, A. Zeilinger, and M. Zukowski, “Multiphoton entanglement and interferometry,” Rev. Mod. Phys. 84, 777–838 (2012). [CrossRef]
- M. Mariantoni, H. Wang, T. Yamamoto, M. Neeley, R. C. Bialczak, Y. Chen, M. Lenander, E. Lucero, A. D. OConnell, D. Sank, M. Weides, J. Wenner, Y. Yin, J. Zhao, A. N. Korotkov, A. N. Cleland, and J. M. Martinis, “Implementing the quantum von Neumann architecture with superconducting circuits,” Science 334, 61–65 (2011). [CrossRef]
- Y. Xia, J. Song, P.-M. Lu, and H.-S. Song, “Efficient implementation of the two-qubit controlled phase gate with cross-Kerr nonlinearity,” J. Phys. B 44, 025503 (2011). [CrossRef]
- Y. Xia, J. Song, P.-M. Lu, and H.-S. Song, “Effective quantum teleportation of an atomic state between two cavities with the cross-Kerr nonlinearity by interference of polarized photons,” J. Appl. Phys. 109, 103111 (2011). [CrossRef]
- Y. Xia, J. Song, Z.-B. Yang, and S.-B. Zheng, “Controlled implementation of two-photon controlled phase gate within a network,” Quantum Inf. Comput. 10, 0821–0828 (2010).
- Y.-F. Xiao, X.-B. Zou, and G.-C. Guo, “One-step implementation of an N-qubit controlled-phase gate with neutral atoms trapped in an optical cavity,” Phys. Rev. A 75, 054303 (2007). [CrossRef]
- X.-M. Lin, Z.-W. Zhou, M.-Y. Ye, Y.-F. Xiao, and G.-C. Guo, “One-step implementation of a multiqubit controlled-phase-flip gate,” Phys. Rev. A 73, 012323 (2006). [CrossRef]
- X.-W. Wang, D.-Y. Zhang, S.-Q. Tang, and L.-J. Xie, “Nondestructive Greenberger–Horne–Zeilinger-state analyzer,” Quantum Inf. Process. 12, 1065–1075 (2013). [CrossRef]
- X.-W. Wang, D.-Y. Zhang, S.-Q. Tang, L.-J. Xie, Z.-Y. Wang, and L.-M. Kuang, “Photonic two-qubit parity gate with tiny cross-Kerr nonlinearity,” Phys. Rev. A 85, 052326 (2012). [CrossRef]
- A. Feizpour, X. Xing, and A. M. Steinberg, “Amplifying single-photon nonlinearity using weak measurements,” Phys. Rev. Lett. 107, 133603 (2011). [CrossRef]
- X.-M. Xiu, L. Dong, Y.-J. Gao, and X. X. Yi, “Nearly deterministic controlled-not gate with weak cross-Kerr nonlinearities,” Quantum Inf. Comput. 12, 0159–0170 (2012).
- X.-M. Jin, J.-G. Ren, B. Yang, Z.-H. Yi, F. Zhou, X.-F. Xu, S.-K. Wang, D. Yang, Y.-F. Hu, S. Jiang, T. Yang, H. Yin, K. Chen, C.-Z. Peng, and J.-W. Pan, “Experimental free-space quantum teleportation,” Nat. Photonics 4, 376–381 (2010). [CrossRef]
- M. Mariantoni, H. Wang, T. Yamamoto, M. Neeley, R. C. Bialczak, Y. Chen, M. Lenander, E. Lucero, A. D. OConnell, D. Sank, M. Weides, J. Wenner, Y. Yin, J. Zhao, A. N. Korotkov, A. N. Cleland, and J. M. Martinis, “Implementing the quantum von Neumann architecture with superconducting circuits,” Science 334, 61–65 (2011). [CrossRef]
- M. Koashi, T. Yamamoto, and N. Imoto, “Probabilistic manipulation of entangled photons,” Phys. Rev. A 63, 030301(R) (2001). [CrossRef]
- I. Chuang and Y. Yamamoto, “Simple quantum computer,” Phys. Rev. A 52, 3489–3496 (1995). [CrossRef]
- X.-M. Jin, J.-G. Ren, B. Yang, Z.-H. Yi, F. Zhou, X.-F. Xu, S.-K. Wang, D. Yang, Y.-F. Hu, S. Jiang, T. Yang, H. Yin, K. Chen, C.-Z. Peng, and J.-W. Pan, “Experimental free-space quantum teleportation,” Nat. Photonics 4, 376–381 (2010). [CrossRef]
- X.-M. Jin, J.-G. Ren, B. Yang, Z.-H. Yi, F. Zhou, X.-F. Xu, S.-K. Wang, D. Yang, Y.-F. Hu, S. Jiang, T. Yang, H. Yin, K. Chen, C.-Z. Peng, and J.-W. Pan, “Experimental free-space quantum teleportation,” Nat. Photonics 4, 376–381 (2010). [CrossRef]
- X.-M. Jin, J.-G. Ren, B. Yang, Z.-H. Yi, F. Zhou, X.-F. Xu, S.-K. Wang, D. Yang, Y.-F. Hu, S. Jiang, T. Yang, H. Yin, K. Chen, C.-Z. Peng, and J.-W. Pan, “Experimental free-space quantum teleportation,” Nat. Photonics 4, 376–381 (2010). [CrossRef]
- Y. Xia, J. Song, Z.-B. Yang, and S.-B. Zheng, “Controlled implementation of two-photon controlled phase gate within a network,” Quantum Inf. Comput. 10, 0821–0828 (2010).
- X.-M. Lin, Z.-W. Zhou, M.-Y. Ye, Y.-F. Xiao, and G.-C. Guo, “One-step implementation of a multiqubit controlled-phase-flip gate,” Phys. Rev. A 73, 012323 (2006). [CrossRef]
- X.-M. Xiu, L. Dong, Y.-J. Gao, and X. X. Yi, “Nearly deterministic controlled-not gate with weak cross-Kerr nonlinearities,” Quantum Inf. Comput. 12, 0159–0170 (2012).
- X. X. Yi, X. H. Su, and L. You, “Conditional quantum phase gate between two 3-state atoms,” Phys. Rev. Lett. 90, 097902 (2003). [CrossRef]
- L. You, X. X. Yi, and X. H. Su, “Quantum logic between atoms inside a high-Q optical cavity,” Phys. Rev. A 67, 032308 (2003). [CrossRef]
- X.-M. Jin, J.-G. Ren, B. Yang, Z.-H. Yi, F. Zhou, X.-F. Xu, S.-K. Wang, D. Yang, Y.-F. Hu, S. Jiang, T. Yang, H. Yin, K. Chen, C.-Z. Peng, and J.-W. Pan, “Experimental free-space quantum teleportation,” Nat. Photonics 4, 376–381 (2010). [CrossRef]
- D. Braje, V. Balić, G. Yin, and S. Harris, “Low-light-level nonlinear optics with slow light,” Phys. Rev. A 68, 041801(R) (2003). [CrossRef]
- X.-M. Jin, J.-G. Ren, B. Yang, Z.-H. Yi, F. Zhou, X.-F. Xu, S.-K. Wang, D. Yang, Y.-F. Hu, S. Jiang, T. Yang, H. Yin, K. Chen, C.-Z. Peng, and J.-W. Pan, “Experimental free-space quantum teleportation,” Nat. Photonics 4, 376–381 (2010). [CrossRef]
- M. Mariantoni, H. Wang, T. Yamamoto, M. Neeley, R. C. Bialczak, Y. Chen, M. Lenander, E. Lucero, A. D. OConnell, D. Sank, M. Weides, J. Wenner, Y. Yin, J. Zhao, A. N. Korotkov, A. N. Cleland, and J. M. Martinis, “Implementing the quantum von Neumann architecture with superconducting circuits,” Science 334, 61–65 (2011). [CrossRef]
- R. Ukai, S. Yokoyama, J.-i. Yoshikawa, P. van Loock, and A. Furusawa, “Demonstration of a controlled-phase gate for continuous-variable one-way quantum computation,” Phys. Rev. Lett. 107, 250501 (2011). [CrossRef]
- R. Ukai, S. Yokoyama, J.-i. Yoshikawa, P. van Loock, and A. Furusawa, “Demonstration of a controlled-phase gate for continuous-variable one-way quantum computation,” Phys. Rev. Lett. 107, 250501 (2011). [CrossRef]
- L. You, X. X. Yi, and X. H. Su, “Quantum logic between atoms inside a high-Q optical cavity,” Phys. Rev. A 67, 032308 (2003). [CrossRef]
- X. X. Yi, X. H. Su, and L. You, “Conditional quantum phase gate between two 3-state atoms,” Phys. Rev. Lett. 90, 097902 (2003). [CrossRef]
- J.-W. Pan, Z.-B. Chen, C.-Y. Lu, H. Weinfurter, A. Zeilinger, and M. Zukowski, “Multiphoton entanglement and interferometry,” Rev. Mod. Phys. 84, 777–838 (2012). [CrossRef]
- X.-s. Ma, S. Zotter, N. Tetik, A. Qarry, T. Jennewein, and A. Zeilinger, “A high-speed tunable beam splitter for feed-forward photonic quantum information processing,” Opt. Express 19, 22723–22730 (2011). [CrossRef]
- X.-s. Ma, S. Zotter, J. Kofler, T. Jennewein, and A. Zeilinger, “Experimental generation of single photons via active multiplexing,” Phys. Rev. A 83, 043814 (2011). [CrossRef]
- X.-W. Wang, D.-Y. Zhang, S.-Q. Tang, and L.-J. Xie, “Nondestructive Greenberger–Horne–Zeilinger-state analyzer,” Quantum Inf. Process. 12, 1065–1075 (2013). [CrossRef]
- X.-W. Wang, D.-Y. Zhang, S.-Q. Tang, L.-J. Xie, Z.-Y. Wang, and L.-M. Kuang, “Photonic two-qubit parity gate with tiny cross-Kerr nonlinearity,” Phys. Rev. A 85, 052326 (2012). [CrossRef]
- Y. Q. Zhang, S. Zhang, K. H. Yeon, and S. C. Yu, “One-step implementation of a multiqubit controlled-phase gate with superconducting quantum interference devices coupled to a resonator,” J. Opt. Soc. Am. B 29, 300–304 (2012). [CrossRef]
- Q. Guo, J. Bai, L.-Y. Cheng, X.-Q. Shao, H.-F. Wang, and S. Zhang, “Simplified optical quantum-information processing via weak cross-Kerr nonlinearities,” Phys. Rev. A 83, 054303 (2011). [CrossRef]
- X. Zou, S. Zhang, K. Li, and G. Guo, “Linear optical implementation of the two-qubit controlled phase gate with conventional photon detectors,” Phys. Rev. A 75, 034302 (2007). [CrossRef]
- C. Wang, Y. Zhang, and G.-S. Jin, “Polarization-entanglement purification and concentration using cross-kerr nonlinearity,” Quantum Inf. Comput. 11, 0988–1002 (2011).
- M. Mariantoni, H. Wang, T. Yamamoto, M. Neeley, R. C. Bialczak, Y. Chen, M. Lenander, E. Lucero, A. D. OConnell, D. Sank, M. Weides, J. Wenner, Y. Yin, J. Zhao, A. N. Korotkov, A. N. Cleland, and J. M. Martinis, “Implementing the quantum von Neumann architecture with superconducting circuits,” Science 334, 61–65 (2011). [CrossRef]
- Y.-B. Sheng, L. Zhou, S.-M. Zhao, and B.-Y. Zheng, “Efficient single-photon-assisted entanglement concentration for partially entangled photon pairs,” Phys. Rev. A 85, 012307 (2012). [CrossRef]
- Y.-B. Sheng, L. Zhou, and S.-M. Zhao, “Efficient two-step entanglement concentration for arbitrary W states,” Phys. Rev. A 85, 042302 (2012). [CrossRef]
- Y.-B. Sheng, L. Zhou, S.-M. Zhao, and B.-Y. Zheng, “Efficient single-photon-assisted entanglement concentration for partially entangled photon pairs,” Phys. Rev. A 85, 012307 (2012). [CrossRef]
- Y. Xia, J. Song, Z.-B. Yang, and S.-B. Zheng, “Controlled implementation of two-photon controlled phase gate within a network,” Quantum Inf. Comput. 10, 0821–0828 (2010).
- M.-F. Wang, N.-Q. Jiang, Q.-L. Jin, and Y.-Z. Zheng, “Continuous-variable controlled-Z gate using an atomic ensemble,” Phys. Rev. A 83, 062339 (2011). [CrossRef]
- X.-M. Jin, J.-G. Ren, B. Yang, Z.-H. Yi, F. Zhou, X.-F. Xu, S.-K. Wang, D. Yang, Y.-F. Hu, S. Jiang, T. Yang, H. Yin, K. Chen, C.-Z. Peng, and J.-W. Pan, “Experimental free-space quantum teleportation,” Nat. Photonics 4, 376–381 (2010). [CrossRef]
- Y.-B. Sheng, F.-G. Deng, and H.-Y. Zhou, “Nonlocal entanglement concentration scheme for partially entangled multipartite systems with nonlinear optics,” Phys. Rev. A 77, 062325 (2008). [CrossRef]
- Y.-B. Sheng, L. Zhou, S.-M. Zhao, and B.-Y. Zheng, “Efficient single-photon-assisted entanglement concentration for partially entangled photon pairs,” Phys. Rev. A 85, 012307 (2012). [CrossRef]
- Y.-B. Sheng, L. Zhou, and S.-M. Zhao, “Efficient two-step entanglement concentration for arbitrary W states,” Phys. Rev. A 85, 042302 (2012). [CrossRef]
- X.-M. Lin, Z.-W. Zhou, M.-Y. Ye, Y.-F. Xiao, and G.-C. Guo, “One-step implementation of a multiqubit controlled-phase-flip gate,” Phys. Rev. A 73, 012323 (2006). [CrossRef]
- J. Cirac and P. Zoller, “Quantum computations with cold trapped ions,” Phys. Rev. Lett. 74, 4091–4094 (1995). [CrossRef]
- C. W. Gardiner and P. Zoller, Quantum Noise (Springer, 2000).
- X.-s. Ma, S. Zotter, N. Tetik, A. Qarry, T. Jennewein, and A. Zeilinger, “A high-speed tunable beam splitter for feed-forward photonic quantum information processing,” Opt. Express 19, 22723–22730 (2011). [CrossRef]
- X.-s. Ma, S. Zotter, J. Kofler, T. Jennewein, and A. Zeilinger, “Experimental generation of single photons via active multiplexing,” Phys. Rev. A 83, 043814 (2011). [CrossRef]
- X. Zou, S. Zhang, K. Li, and G. Guo, “Linear optical implementation of the two-qubit controlled phase gate with conventional photon detectors,” Phys. Rev. A 75, 034302 (2007). [CrossRef]
- X. Zou, K. Li, and G. Guo, “Linear optical scheme for direct implementation of a nondestructive N-qubit controlled phase gate,” Phys. Rev. A 74, 044305 (2006). [CrossRef]
- Y.-F. Xiao, X.-B. Zou, and G.-C. Guo, “One-step implementation of an N-qubit controlled-phase gate with neutral atoms trapped in an optical cavity,” Phys. Rev. A 75, 054303 (2007). [CrossRef]
- M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge University, 1997).
- J.-W. Pan, Z.-B. Chen, C.-Y. Lu, H. Weinfurter, A. Zeilinger, and M. Zukowski, “Multiphoton entanglement and interferometry,” Rev. Mod. Phys. 84, 777–838 (2012). [CrossRef]
J. Appl. Phys.
- Y. Xia, J. Song, P.-M. Lu, and H.-S. Song, “Effective quantum teleportation of an atomic state between two cavities with the cross-Kerr nonlinearity by interference of polarized photons,” J. Appl. Phys. 109, 103111 (2011). [CrossRef]
J. Opt. B
- H. F. Hofmann, K. Kojima, S. Takeuchi, and K. Sasaki, “Optimized phase switching using a single-atom nonlinearity,” J. Opt. B 5, 218–221 (2003). [CrossRef]
J. Opt. Soc. Am. B
- W. Xiong and L. Ye, “Schemes for entanglement concentration of two unknown partially entangled states with cross-Kerr nonlinearity,” J. Opt. Soc. Am. B 28, 2030–2037 (2011). [CrossRef]
- Y. Q. Zhang, S. Zhang, K. H. Yeon, and S. C. Yu, “One-step implementation of a multiqubit controlled-phase gate with superconducting quantum interference devices coupled to a resonator,” J. Opt. Soc. Am. B 29, 300–304 (2012). [CrossRef]
J. Phys. B
- B. He, Y.-H. Ren, and J. A. Bergou, “Universal entangler with photon pairs in arbitrary states,” J. Phys. B 43, 025502 (2010). [CrossRef]
- Y. Xia, J. Song, P.-M. Lu, and H.-S. Song, “Efficient implementation of the two-qubit controlled phase gate with cross-Kerr nonlinearity,” J. Phys. B 44, 025503 (2011). [CrossRef]
Nat. Photonics
- X.-M. Jin, J.-G. Ren, B. Yang, Z.-H. Yi, F. Zhou, X.-F. Xu, S.-K. Wang, D. Yang, Y.-F. Hu, S. Jiang, T. Yang, H. Yin, K. Chen, C.-Z. Peng, and J.-W. Pan, “Experimental free-space quantum teleportation,” Nat. Photonics 4, 376–381 (2010). [CrossRef]
Nature
- P. Grangier, J. A. Levenson, and J.-P. Poizat, “Quantum non-demolition measurements in optics,” Nature 396, 537–542 (1998). [CrossRef]
- E. Knill, R. Laflamme, and G. J. Milburn, “A scheme for efficient quantum computation with linear optics,” Nature 409, 46–52 (2001). [CrossRef]
- K. S. Choi, H. Deng, J. Laurat, and H. J. Kimble, “Mapping photonic entanglement into and out of a quantum memory,” Nature 452, 67–71 (2008). [CrossRef]
- F. Schmidt-Kaler, H. Häffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Nature 422, 408–411 (2003). [CrossRef]
New J. Phys.
- K. Kieling, J. L. OBrien, and J. Eisert, “On photonic controlled phase gates,” New J. Phys. 12, 013003 (2010). [CrossRef]
- W. J. Munro, K. Nemoto, and T. P. Spiller, “Weak nonlinearities: a new route to optical quantum computation,” New J. Phys. 7, 137 (2005). [CrossRef]
- J. H. Shapiro and M. Razavi, “Continuous-time cross-phase modulation and quantum computation,” New J. Phys. 9, 16 (2007). [CrossRef]
Opt. Express
- X.-s. Ma, S. Zotter, N. Tetik, A. Qarry, T. Jennewein, and A. Zeilinger, “A high-speed tunable beam splitter for feed-forward photonic quantum information processing,” Opt. Express 19, 22723–22730 (2011). [CrossRef]
Phys. Lett. A
- C. C. Gerry and T. Bui, “Quantum non-demolition measurement of photon number using weak nonlinearities,” Phys. Lett. A 372, 7101–7104 (2008). [CrossRef]
Phys. Rev. A
- X.-s. Ma, S. Zotter, J. Kofler, T. Jennewein, and A. Zeilinger, “Experimental generation of single photons via active multiplexing,” Phys. Rev. A 83, 043814 (2011). [CrossRef]
- B. He, Q. Lin, and C. Simon, “Cross-Kerr nonlinearity between continuous-mode coherent states and single photons,” Phys. Rev. A 83, 053826 (2011). [CrossRef]
- M. Siomau, A. A. Kamli, S. A. Moiseev, and B. C. Sanders, “Entanglement creation with negative index metamaterials,” Phys. Rev. A 85, 050303(R) (2012). [CrossRef]
- S. Phoenix, “Wave-packet evolution in the damped oscillator,” Phys. Rev. A 41, 5132–5138 (1990). [CrossRef]
- H. Jeong, “Quantum computation using weak nonlinearities: robustness against decoherence,” Phys. Rev. A 73, 052320 (2006). [CrossRef]
- S. G. R. Louis, W. J. Munro, T. P. Spiller, and K. Nemoto, “Loss in hybrid qubit-bus couplings and gates,” Phys. Rev. A 78, 022326 (2008). [CrossRef]
- H.-Y. Lo, P.-C. Su, and Y.-F. Chen, “Low-light-level cross-phase modulation by quantum interference,” Phys. Rev. A 81, 053829 (2010). [CrossRef]
- J. Gea-Banacloche, “Impossibility of large phase shifts via the giant Kerr effect with single-photon wave packets,” Phys. Rev. A 81, 043823 (2010). [CrossRef]
- J. Shapiro, “Single-photon Kerr nonlinearities do not help quantum computation,” Phys. Rev. A 73, 062305 (2006). [CrossRef]
- P. Kok, H. Lee, and J. Dowling, “Single-photon quantum-nondemolition detectors constructed with linear optics and projective measurements,” Phys. Rev. A 66, 063814 (2002). [CrossRef]
- D. Braje, V. Balić, G. Yin, and S. Harris, “Low-light-level nonlinear optics with slow light,” Phys. Rev. A 68, 041801(R) (2003). [CrossRef]
- W. J. Munro, K. Nemoto, R. G. Beausoleil, and T. P. Spiller, “High-efficiency quantum-nondemolition single-photon-number-resolving detector,” Phys. Rev. A 71, 033819 (2005). [CrossRef]
- S. D. Barrett, P. Kok, K. Nemoto, R. G. Beausoleil, W. J. Munro, and T. P. Spiller, “Symmetry analyzer for nondestructive Bell-state detection using weak nonlinearities,” Phys. Rev. A 71, 060302(R) (2005).
- Q. Guo, J. Bai, L.-Y. Cheng, X.-Q. Shao, H.-F. Wang, and S. Zhang, “Simplified optical quantum-information processing via weak cross-Kerr nonlinearities,” Phys. Rev. A 83, 054303 (2011). [CrossRef]
- F.-G. Deng, “Efficient multipartite entanglement purification with the entanglement link from a subspace,” Phys. Rev. A 84, 052312 (2011). [CrossRef]
- Y.-B. Sheng, L. Zhou, S.-M. Zhao, and B.-Y. Zheng, “Efficient single-photon-assisted entanglement concentration for partially entangled photon pairs,” Phys. Rev. A 85, 012307 (2012). [CrossRef]
- Y.-B. Sheng, L. Zhou, and S.-M. Zhao, “Efficient two-step entanglement concentration for arbitrary W states,” Phys. Rev. A 85, 042302 (2012). [CrossRef]
- X.-W. Wang, D.-Y. Zhang, S.-Q. Tang, L.-J. Xie, Z.-Y. Wang, and L.-M. Kuang, “Photonic two-qubit parity gate with tiny cross-Kerr nonlinearity,” Phys. Rev. A 85, 052326 (2012). [CrossRef]
- S. D. Barrett and G. J. Milburn, “Quantum-information processing via a lossy bus,” Phys. Rev. A 74, 060302(R) (2006). [CrossRef]
- B. He, J. Bergou, and Y. Ren, “Universal discriminator for completely unknown optical qubits,” Phys. Rev. A 76, 032301 (2007). [CrossRef]
- Y.-B. Sheng, F.-G. Deng, and H.-Y. Zhou, “Nonlocal entanglement concentration scheme for partially entangled multipartite systems with nonlinear optics,” Phys. Rev. A 77, 062325 (2008). [CrossRef]
- Q. Lin and B. He, “Single-photon logic gates using minimal resources,” Phys. Rev. A 80, 042310 (2009). [CrossRef]
- B. He, Y. Ren, and J. Bergou, “Creation of high-quality long-distance entanglement with flexible resources,” Phys. Rev. A 79, 052323 (2009). [CrossRef]
- Y.-B. Sheng, F.-G. Deng, and G.-L. Long, “Complete hyperentangled-Bell-state analysis for quantum communication,” Phys. Rev. A 82, 032318 (2010). [CrossRef]
- Q. Lin and J. Li, “Quantum control gates with weak cross-Kerr nonlinearity,” Phys. Rev. A 79, 022301 (2009). [CrossRef]
- M.-F. Wang, N.-Q. Jiang, Q.-L. Jin, and Y.-Z. Zheng, “Continuous-variable controlled-Z gate using an atomic ensemble,” Phys. Rev. A 83, 062339 (2011). [CrossRef]
- E. Knill, “Bounds on the probability of success of postselected nonlinear sign shifts implemented with linear optics,” Phys. Rev. A 68, 064303 (2003). [CrossRef]
- L. You, X. X. Yi, and X. H. Su, “Quantum logic between atoms inside a high-Q optical cavity,” Phys. Rev. A 67, 032308 (2003). [CrossRef]
- X.-M. Lin, Z.-W. Zhou, M.-Y. Ye, Y.-F. Xiao, and G.-C. Guo, “One-step implementation of a multiqubit controlled-phase-flip gate,” Phys. Rev. A 73, 012323 (2006). [CrossRef]
- X. Zou, S. Zhang, K. Li, and G. Guo, “Linear optical implementation of the two-qubit controlled phase gate with conventional photon detectors,” Phys. Rev. A 75, 034302 (2007). [CrossRef]
- X. Zou, K. Li, and G. Guo, “Linear optical scheme for direct implementation of a nondestructive N-qubit controlled phase gate,” Phys. Rev. A 74, 044305 (2006). [CrossRef]
- Y.-F. Xiao, X.-B. Zou, and G.-C. Guo, “One-step implementation of an N-qubit controlled-phase gate with neutral atoms trapped in an optical cavity,” Phys. Rev. A 75, 054303 (2007). [CrossRef]
- I. Chuang and Y. Yamamoto, “Simple quantum computer,” Phys. Rev. A 52, 3489–3496 (1995). [CrossRef]
- M. Koashi, T. Yamamoto, and N. Imoto, “Probabilistic manipulation of entangled photons,” Phys. Rev. A 63, 030301(R) (2001). [CrossRef]
- T. Pittman, B. Jacobs, and J. Franson, “Probabilistic quantum logic operations using polarizing beam splitters,” Phys. Rev. A 64, 062311 (2001). [CrossRef]
Phys. Rev. B
- E. Nielsen, R. Muller, and M. Carroll, “Configuration interaction calculations of the controlled phase gate in double quantum dot qubits,” Phys. Rev. B 85, 035319 (2012). [CrossRef]
Phys. Rev. Lett.
- K. Nemoto and W. J. Munro, “Nearly deterministic linear optical controlled-NOT gate,” Phys. Rev. Lett. 93, 250502 (2004). [CrossRef]
- R. Ukai, S. Yokoyama, J.-i. Yoshikawa, P. van Loock, and A. Furusawa, “Demonstration of a controlled-phase gate for continuous-variable one-way quantum computation,” Phys. Rev. Lett. 107, 250501 (2011). [CrossRef]
- K. Lemr, a. Černoch, J. Soubusta, K. Kieling, J. Eisert, and M. Dušek, “Experimental implementation of the optimal linear-optical controlled phase gate,” Phys. Rev. Lett. 106, 013602 (2011). [CrossRef]
- A. Sørensen and K. Mølmer, “Quantum computation with ions in thermal motion,” Phys. Rev. Lett. 82, 1971–1974 (1999). [CrossRef]
- A. Barenco, D. Deutsch, A. Ekert, and R. Jozsa, “Conditional quantum dynamics and logic gates,” Phys. Rev. Lett. 74, 4083–4086 (1995). [CrossRef]
- J. Cirac and P. Zoller, “Quantum computations with cold trapped ions,” Phys. Rev. Lett. 74, 4091–4094 (1995). [CrossRef]
- X. X. Yi, X. H. Su, and L. You, “Conditional quantum phase gate between two 3-state atoms,” Phys. Rev. Lett. 90, 097902 (2003). [CrossRef]
- L.-M. Duan and H. Kimble, “Scalable photonic quantum computation through cavity-assisted interactions,” Phys. Rev. Lett. 92, 127902 (2004). [CrossRef]
- Q. A. Turchette, C. J. Hood, W. Lange, H. Mabuchi, and H. J. Kimble, “Measurement of conditional phase shifts for quantum logic,” Phys. Rev. Lett. 75, 4710–4713 (1995). [CrossRef]
- T. Kippenberg, S. Spillane, and K. Vahala, “Kerr-nonlinearity optical parametric oscillation in an ultrahigh-Q toroid microcavity,” Phys. Rev. Lett. 93, 083904 (2004). [CrossRef]
- X. Li, P. Voss, J. Sharping, and P. Kumar, “Optical-fiber source of polarization-entangled photons in the 1550 nm telecom band,” Phys. Rev. Lett. 94, 053601 (2005). [CrossRef]
- S. Harris and L. Hau, “Nonlinear optics at low light levels,” Phys. Rev. Lett. 82, 4611–4614 (1999). [CrossRef]
- A. Feizpour, X. Xing, and A. M. Steinberg, “Amplifying single-photon nonlinearity using weak measurements,” Phys. Rev. Lett. 107, 133603 (2011). [CrossRef]
Quantum Inf. Comput.
- C. Wang, Y. Zhang, and G.-S. Jin, “Polarization-entanglement purification and concentration using cross-kerr nonlinearity,” Quantum Inf. Comput. 11, 0988–1002 (2011).
- Y. Xia, J. Song, Z.-B. Yang, and S.-B. Zheng, “Controlled implementation of two-photon controlled phase gate within a network,” Quantum Inf. Comput. 10, 0821–0828 (2010).
- X.-M. Xiu, L. Dong, Y.-J. Gao, and X. X. Yi, “Nearly deterministic controlled-not gate with weak cross-Kerr nonlinearities,” Quantum Inf. Comput. 12, 0159–0170 (2012).
Quantum Inf. Process.
- X.-W. Wang, D.-Y. Zhang, S.-Q. Tang, and L.-J. Xie, “Nondestructive Greenberger–Horne–Zeilinger-state analyzer,” Quantum Inf. Process. 12, 1065–1075 (2013). [CrossRef]
Rev. Mod. Phys.
- C. Weedbrook, S. Pirandola, R. Garca-Patrón, N. Cerf, T. Ralph, J. Shapiro, and S. Lloyd, “Gaussian quantum information,” Rev. Mod. Phys. 84, 621–669 (2012). [CrossRef]
- P. Kok, K. Nemoto, T. C. Ralph, J. P. Dowling, and G. J. Milburn, “Linear optical quantum computing with photonic qubits,” Rev. Mod. Phys. 79, 135–174 (2007). [CrossRef]
- J.-W. Pan, Z.-B. Chen, C.-Y. Lu, H. Weinfurter, A. Zeilinger, and M. Zukowski, “Multiphoton entanglement and interferometry,” Rev. Mod. Phys. 84, 777–838 (2012). [CrossRef]
Science
- M. Mariantoni, H. Wang, T. Yamamoto, M. Neeley, R. C. Bialczak, Y. Chen, M. Lenander, E. Lucero, A. D. OConnell, D. Sank, M. Weides, J. Wenner, Y. Yin, J. Zhao, A. N. Korotkov, A. N. Cleland, and J. M. Martinis, “Implementing the quantum von Neumann architecture with superconducting circuits,” Science 334, 61–65 (2011). [CrossRef]
- I. Fushman, D. Englund, A. Faraon, N. Stoltz, P. Petroff, and J. Vuckovic, “Controlled phase shifts with a single quantum dot,” Science 320, 769–772 (2008). [CrossRef]
Other
- C. W. Gardiner and P. Zoller, Quantum Noise (Springer, 2000).
- M. K. Simon, Probability Distributions Involving Gaussian Random Variables, a Handbook for Engineers, Scientists and Mathematicians (Springer, 2006).
- M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge University, 1997).
- M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University, 2000).
2013, Wang, Quantum Inf. Process.
- X.-W. Wang, D.-Y. Zhang, S.-Q. Tang, and L.-J. Xie, “Nondestructive Greenberger–Horne–Zeilinger-state analyzer,” Quantum Inf. Process. 12, 1065–1075 (2013). [CrossRef]
- Y.-B. Sheng, L. Zhou, S.-M. Zhao, and B.-Y. Zheng, “Efficient single-photon-assisted entanglement concentration for partially entangled photon pairs,” Phys. Rev. A 85, 012307 (2012). [CrossRef]
- Y.-B. Sheng, L. Zhou, and S.-M. Zhao, “Efficient two-step entanglement concentration for arbitrary W states,” Phys. Rev. A 85, 042302 (2012). [CrossRef]
- X.-W. Wang, D.-Y. Zhang, S.-Q. Tang, L.-J. Xie, Z.-Y. Wang, and L.-M. Kuang, “Photonic two-qubit parity gate with tiny cross-Kerr nonlinearity,” Phys. Rev. A 85, 052326 (2012). [CrossRef]
- M. Siomau, A. A. Kamli, S. A. Moiseev, and B. C. Sanders, “Entanglement creation with negative index metamaterials,” Phys. Rev. A 85, 050303(R) (2012). [CrossRef]
- E. Nielsen, R. Muller, and M. Carroll, “Configuration interaction calculations of the controlled phase gate in double quantum dot qubits,” Phys. Rev. B 85, 035319 (2012). [CrossRef]
- J.-W. Pan, Z.-B. Chen, C.-Y. Lu, H. Weinfurter, A. Zeilinger, and M. Zukowski, “Multiphoton entanglement and interferometry,” Rev. Mod. Phys. 84, 777–838 (2012). [CrossRef]
- X.-M. Xiu, L. Dong, Y.-J. Gao, and X. X. Yi, “Nearly deterministic controlled-not gate with weak cross-Kerr nonlinearities,” Quantum Inf. Comput. 12, 0159–0170 (2012).
- C. Weedbrook, S. Pirandola, R. Garca-Patrón, N. Cerf, T. Ralph, J. Shapiro, and S. Lloyd, “Gaussian quantum information,” Rev. Mod. Phys. 84, 621–669 (2012). [CrossRef]
- X.-s. Ma, S. Zotter, J. Kofler, T. Jennewein, and A. Zeilinger, “Experimental generation of single photons via active multiplexing,” Phys. Rev. A 83, 043814 (2011). [CrossRef]
- K. Lemr, a. Černoch, J. Soubusta, K. Kieling, J. Eisert, and M. Dušek, “Experimental implementation of the optimal linear-optical controlled phase gate,” Phys. Rev. Lett. 106, 013602 (2011). [CrossRef]
- M.-F. Wang, N.-Q. Jiang, Q.-L. Jin, and Y.-Z. Zheng, “Continuous-variable controlled-Z gate using an atomic ensemble,” Phys. Rev. A 83, 062339 (2011). [CrossRef]
- R. Ukai, S. Yokoyama, J.-i. Yoshikawa, P. van Loock, and A. Furusawa, “Demonstration of a controlled-phase gate for continuous-variable one-way quantum computation,” Phys. Rev. Lett. 107, 250501 (2011). [CrossRef]
- M. Mariantoni, H. Wang, T. Yamamoto, M. Neeley, R. C. Bialczak, Y. Chen, M. Lenander, E. Lucero, A. D. OConnell, D. Sank, M. Weides, J. Wenner, Y. Yin, J. Zhao, A. N. Korotkov, A. N. Cleland, and J. M. Martinis, “Implementing the quantum von Neumann architecture with superconducting circuits,” Science 334, 61–65 (2011). [CrossRef]
- B. He, Q. Lin, and C. Simon, “Cross-Kerr nonlinearity between continuous-mode coherent states and single photons,” Phys. Rev. A 83, 053826 (2011). [CrossRef]
- A. Feizpour, X. Xing, and A. M. Steinberg, “Amplifying single-photon nonlinearity using weak measurements,” Phys. Rev. Lett. 107, 133603 (2011). [CrossRef]
- C. Wang, Y. Zhang, and G.-S. Jin, “Polarization-entanglement purification and concentration using cross-kerr nonlinearity,” Quantum Inf. Comput. 11, 0988–1002 (2011).
- Y. Xia, J. Song, P.-M. Lu, and H.-S. Song, “Effective quantum teleportation of an atomic state between two cavities with the cross-Kerr nonlinearity by interference of polarized photons,” J. Appl. Phys. 109, 103111 (2011). [CrossRef]
- Q. Guo, J. Bai, L.-Y. Cheng, X.-Q. Shao, H.-F. Wang, and S. Zhang, “Simplified optical quantum-information processing via weak cross-Kerr nonlinearities,” Phys. Rev. A 83, 054303 (2011). [CrossRef]
- F.-G. Deng, “Efficient multipartite entanglement purification with the entanglement link from a subspace,” Phys. Rev. A 84, 052312 (2011). [CrossRef]
- Y. Xia, J. Song, P.-M. Lu, and H.-S. Song, “Efficient implementation of the two-qubit controlled phase gate with cross-Kerr nonlinearity,” J. Phys. B 44, 025503 (2011). [CrossRef]
- Y.-B. Sheng, F.-G. Deng, and G.-L. Long, “Complete hyperentangled-Bell-state analysis for quantum communication,” Phys. Rev. A 82, 032318 (2010). [CrossRef]
- B. He, Y.-H. Ren, and J. A. Bergou, “Universal entangler with photon pairs in arbitrary states,” J. Phys. B 43, 025502 (2010). [CrossRef]
- X.-M. Jin, J.-G. Ren, B. Yang, Z.-H. Yi, F. Zhou, X.-F. Xu, S.-K. Wang, D. Yang, Y.-F. Hu, S. Jiang, T. Yang, H. Yin, K. Chen, C.-Z. Peng, and J.-W. Pan, “Experimental free-space quantum teleportation,” Nat. Photonics 4, 376–381 (2010). [CrossRef]
- H.-Y. Lo, P.-C. Su, and Y.-F. Chen, “Low-light-level cross-phase modulation by quantum interference,” Phys. Rev. A 81, 053829 (2010). [CrossRef]
- J. Gea-Banacloche, “Impossibility of large phase shifts via the giant Kerr effect with single-photon wave packets,” Phys. Rev. A 81, 043823 (2010). [CrossRef]
- Y. Xia, J. Song, Z.-B. Yang, and S.-B. Zheng, “Controlled implementation of two-photon controlled phase gate within a network,” Quantum Inf. Comput. 10, 0821–0828 (2010).
- K. Kieling, J. L. OBrien, and J. Eisert, “On photonic controlled phase gates,” New J. Phys. 12, 013003 (2010). [CrossRef]
- Q. Lin and J. Li, “Quantum control gates with weak cross-Kerr nonlinearity,” Phys. Rev. A 79, 022301 (2009). [CrossRef]
- Q. Lin and B. He, “Single-photon logic gates using minimal resources,” Phys. Rev. A 80, 042310 (2009). [CrossRef]
- B. He, Y. Ren, and J. Bergou, “Creation of high-quality long-distance entanglement with flexible resources,” Phys. Rev. A 79, 052323 (2009). [CrossRef]
- Y.-B. Sheng, F.-G. Deng, and H.-Y. Zhou, “Nonlocal entanglement concentration scheme for partially entangled multipartite systems with nonlinear optics,” Phys. Rev. A 77, 062325 (2008). [CrossRef]
- S. G. R. Louis, W. J. Munro, T. P. Spiller, and K. Nemoto, “Loss in hybrid qubit-bus couplings and gates,” Phys. Rev. A 78, 022326 (2008). [CrossRef]
- C. C. Gerry and T. Bui, “Quantum non-demolition measurement of photon number using weak nonlinearities,” Phys. Lett. A 372, 7101–7104 (2008). [CrossRef]
- I. Fushman, D. Englund, A. Faraon, N. Stoltz, P. Petroff, and J. Vuckovic, “Controlled phase shifts with a single quantum dot,” Science 320, 769–772 (2008). [CrossRef]
- K. S. Choi, H. Deng, J. Laurat, and H. J. Kimble, “Mapping photonic entanglement into and out of a quantum memory,” Nature 452, 67–71 (2008). [CrossRef]
- X. Zou, S. Zhang, K. Li, and G. Guo, “Linear optical implementation of the two-qubit controlled phase gate with conventional photon detectors,” Phys. Rev. A 75, 034302 (2007). [CrossRef]
- Y.-F. Xiao, X.-B. Zou, and G.-C. Guo, “One-step implementation of an N-qubit controlled-phase gate with neutral atoms trapped in an optical cavity,” Phys. Rev. A 75, 054303 (2007). [CrossRef]
- P. Kok, K. Nemoto, T. C. Ralph, J. P. Dowling, and G. J. Milburn, “Linear optical quantum computing with photonic qubits,” Rev. Mod. Phys. 79, 135–174 (2007). [CrossRef]
- J. H. Shapiro and M. Razavi, “Continuous-time cross-phase modulation and quantum computation,” New J. Phys. 9, 16 (2007). [CrossRef]
- B. He, J. Bergou, and Y. Ren, “Universal discriminator for completely unknown optical qubits,” Phys. Rev. A 76, 032301 (2007). [CrossRef]
- S. D. Barrett and G. J. Milburn, “Quantum-information processing via a lossy bus,” Phys. Rev. A 74, 060302(R) (2006). [CrossRef]
- J. Shapiro, “Single-photon Kerr nonlinearities do not help quantum computation,” Phys. Rev. A 73, 062305 (2006). [CrossRef]
- X. Zou, K. Li, and G. Guo, “Linear optical scheme for direct implementation of a nondestructive N-qubit controlled phase gate,” Phys. Rev. A 74, 044305 (2006). [CrossRef]
- X.-M. Lin, Z.-W. Zhou, M.-Y. Ye, Y.-F. Xiao, and G.-C. Guo, “One-step implementation of a multiqubit controlled-phase-flip gate,” Phys. Rev. A 73, 012323 (2006). [CrossRef]
- H. Jeong, “Quantum computation using weak nonlinearities: robustness against decoherence,” Phys. Rev. A 73, 052320 (2006). [CrossRef]
- S. D. Barrett, P. Kok, K. Nemoto, R. G. Beausoleil, W. J. Munro, and T. P. Spiller, “Symmetry analyzer for nondestructive Bell-state detection using weak nonlinearities,” Phys. Rev. A 71, 060302(R) (2005).
- W. J. Munro, K. Nemoto, and T. P. Spiller, “Weak nonlinearities: a new route to optical quantum computation,” New J. Phys. 7, 137 (2005). [CrossRef]
- W. J. Munro, K. Nemoto, R. G. Beausoleil, and T. P. Spiller, “High-efficiency quantum-nondemolition single-photon-number-resolving detector,” Phys. Rev. A 71, 033819 (2005). [CrossRef]
- X. Li, P. Voss, J. Sharping, and P. Kumar, “Optical-fiber source of polarization-entangled photons in the 1550 nm telecom band,” Phys. Rev. Lett. 94, 053601 (2005). [CrossRef]
- T. Kippenberg, S. Spillane, and K. Vahala, “Kerr-nonlinearity optical parametric oscillation in an ultrahigh-Q toroid microcavity,” Phys. Rev. Lett. 93, 083904 (2004). [CrossRef]
- K. Nemoto and W. J. Munro, “Nearly deterministic linear optical controlled-NOT gate,” Phys. Rev. Lett. 93, 250502 (2004). [CrossRef]
- L.-M. Duan and H. Kimble, “Scalable photonic quantum computation through cavity-assisted interactions,” Phys. Rev. Lett. 92, 127902 (2004). [CrossRef]
- F. Schmidt-Kaler, H. Häffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Nature 422, 408–411 (2003). [CrossRef]
- L. You, X. X. Yi, and X. H. Su, “Quantum logic between atoms inside a high-Q optical cavity,” Phys. Rev. A 67, 032308 (2003). [CrossRef]
- X. X. Yi, X. H. Su, and L. You, “Conditional quantum phase gate between two 3-state atoms,” Phys. Rev. Lett. 90, 097902 (2003). [CrossRef]
- E. Knill, “Bounds on the probability of success of postselected nonlinear sign shifts implemented with linear optics,” Phys. Rev. A 68, 064303 (2003). [CrossRef]
- D. Braje, V. Balić, G. Yin, and S. Harris, “Low-light-level nonlinear optics with slow light,” Phys. Rev. A 68, 041801(R) (2003). [CrossRef]
- H. F. Hofmann, K. Kojima, S. Takeuchi, and K. Sasaki, “Optimized phase switching using a single-atom nonlinearity,” J. Opt. B 5, 218–221 (2003). [CrossRef]
- P. Kok, H. Lee, and J. Dowling, “Single-photon quantum-nondemolition detectors constructed with linear optics and projective measurements,” Phys. Rev. A 66, 063814 (2002). [CrossRef]
- E. Knill, R. Laflamme, and G. J. Milburn, “A scheme for efficient quantum computation with linear optics,” Nature 409, 46–52 (2001). [CrossRef]
- M. Koashi, T. Yamamoto, and N. Imoto, “Probabilistic manipulation of entangled photons,” Phys. Rev. A 63, 030301(R) (2001). [CrossRef]
- T. Pittman, B. Jacobs, and J. Franson, “Probabilistic quantum logic operations using polarizing beam splitters,” Phys. Rev. A 64, 062311 (2001). [CrossRef]
- A. Sørensen and K. Mølmer, “Quantum computation with ions in thermal motion,” Phys. Rev. Lett. 82, 1971–1974 (1999). [CrossRef]
- S. Harris and L. Hau, “Nonlinear optics at low light levels,” Phys. Rev. Lett. 82, 4611–4614 (1999). [CrossRef]
- P. Grangier, J. A. Levenson, and J.-P. Poizat, “Quantum non-demolition measurements in optics,” Nature 396, 537–542 (1998). [CrossRef]
- A. Barenco, D. Deutsch, A. Ekert, and R. Jozsa, “Conditional quantum dynamics and logic gates,” Phys. Rev. Lett. 74, 4083–4086 (1995). [CrossRef]
- J. Cirac and P. Zoller, “Quantum computations with cold trapped ions,” Phys. Rev. Lett. 74, 4091–4094 (1995). [CrossRef]
- I. Chuang and Y. Yamamoto, “Simple quantum computer,” Phys. Rev. A 52, 3489–3496 (1995). [CrossRef]
- Q. A. Turchette, C. J. Hood, W. Lange, H. Mabuchi, and H. J. Kimble, “Measurement of conditional phase shifts for quantum logic,” Phys. Rev. Lett. 75, 4710–4713 (1995). [CrossRef]
- S. Phoenix, “Wave-packet evolution in the damped oscillator,” Phys. Rev. A 41, 5132–5138 (1990). [CrossRef]
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- Simple quantum key distribution scheme with excellent long-term stability (JOSAB)
Related Conference Papers
- Time-Bin Entanglement Distribution on a Wavelength-Division-Multiplexed Network
- Time-Bin Entanglement Distribution on a Wavelength-Division-Multiplexed Network
- Quantum Key Distribution Coming of Age
- Improved Heralding Devices and Applications to Device Independent QKD
- A study of multipartite entanglement using hyperentangled photons
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