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Universal quantum controlled phase gate on photonic qubits based on nitrogen vacancy centers and microcavity resonatorsChuan Wang, Yong Zhang, Rong-zhen Jiao, and Guang-sheng Jin »View Author Affiliations
Chuan Wang,^{1,}^{2,}^{*}
Yong Zhang,^{1}
Rong-zhen Jiao,^{1}
and Guang-sheng Jin^{1}
^{1}School of Science, Beijing University of Posts and Telecommunications, Beijing, 100876, China ^{2}State Key Laboratory of Information Photonics and Optical Communications, Beijing University of Posts and Telecommunications, Beijing, 100876, China ^{*}Corresponding author: wangchuan@bupt.edu.cn |
Optics Express, Vol. 21, Issue 16, pp. 19252-19260 (2013)
http://dx.doi.org/10.1364/OE.21.019252
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Abstract
Here we investigate a physical implementation of the universal quantum controlled phase (CPHASE) gate operation on photonic qubits by using nitrogen vacancy (N-V) centers and microcavity resonators. The quantum CPHASE gate can be achieved by sending the photons through the microcavity and interacting with the N-V center. The proposed scheme can be further used for scalable quantum computation. We show that this technique provides us a deterministic source of cluster state generation on photonic qubits. In this scheme, only single photons and single N-V center are required and the proposed schemes are feasible with the current experimental technology.
© 2013 OSA
OCIS Codes
(270.0270) Quantum optics : Quantum optics
(270.5568) Quantum optics : Quantum cryptography
(270.5585) Quantum optics : Quantum information and processing
ToC Category:
Quantum Optics
History
Original Manuscript: May 8, 2013
Revised Manuscript: July 20, 2013
Manuscript Accepted: July 20, 2013
Published: August 6, 2013
Citation
Chuan Wang, Yong Zhang, Rong-zhen Jiao, and Guang-sheng Jin, "Universal quantum controlled phase gate on photonic qubits based on nitrogen vacancy centers and microcavity resonators," Opt. Express 21, 19252-19260 (2013)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-21-16-19252
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References
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- J. H. An, M. Feng, and C. H. Oh, “Quantum-information processing with a single photon by an input-output process with respect to low-Q cavities,” Phys. Rev. A79, 032303 (2009). [CrossRef]
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- Z. R. Lin, G. P. Guo, T. Tu, F. Y. Zhu, and G. C. Guo, “Generation of quantum-dot cluster states with a superconducting transmission line resonator,” Phys. Rev. Lett.101, 230501 (2008). [CrossRef] [PubMed]
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- 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,” Nature422, 408–411 (2003). [CrossRef] [PubMed]
- Y. F. Xiao, J. Gao, X. B. Zou, J. F. McMillan, X. Yang, Y. L. Chen, Z. F. Han, G. C. Guo, and C. W. Wong, “Coupled quantum electrodynamics in photonic crystal cavities towards controlled phase gate operations,” New J. Phys.10, 123013 (2008). [CrossRef]
- R. Hanson, F. M. Mendoza, R. J. Epstein, and D. D. Awschalom, “Polarization and readout of coupled single spins in diamond,” Phys. Rev. Lett.97, 087601 (2006);;L. Childress, M. V. Gurudev Dutt, J. M. Taylor, A. S. Zibrov, F. Jelezko, J. Wrachtrup, P. R. Hemmer, and M. D. Lukin, “Coherent dynamics of coupled electron and nuclear spin qubits in diamond,” Science314, 281–285 (2006). [CrossRef] [PubMed]
- Q. Lin and B. He, “Efficient generation of universal two-dimensional cluster states with hybrid systems,” Phys. Rev. A82, 022331 (2010). [CrossRef]
- P. Neumann, N. Mizuochi, F. Rempp, P. Hemmer, H. Watanabe, S. Yamasaki, V. Jacques, T. Gaebel, F. Jelezko, and J. Wrachtrup, “Multipartite entanglement among single spins in diamond,” Science320, 1326–1329 (2008). [CrossRef] [PubMed]
- E. Togan, Y. Chu, A. S. Trifonov, L. Jiang, J. Maze, L. Childress, M. Dutt, A. S. Sorensen, P. R. Hemmer, A. S. Zibrov, and M. D. Lukin, Quantum entanglement between an optical photon and a solid-state spin qubit, Nature466, 730–734 (2010). [CrossRef] [PubMed]
- G. Balasubramanian, P. Neumann, D. Twitchen, M. Markham, R. Kolesov, N. Mizuochi, J. Isoya, J. Achard, J. Beck, J. Tissler, V. Jacques, P. R. Hemmer, F. Jelezko, and J. Wrachtrup, “Ultralong spin coherence time in isotopically engineered diamond,” Nat. Mater.8, 383–387 (2009). [CrossRef] [PubMed]
- R. Hanson, F. M. Mendoza, R. J. Epstein, and D. D. Awschalom, “Polarization and readout of coupled single spins in diamond,” Phys. Rev. Lett.97, 087601 (2006);;L. Childress, M. V. Gurudev Dutt, J. M. Taylor, A. S. Zibrov, F. Jelezko, J. Wrachtrup, P. R. Hemmer, and M. D. Lukin, “Coherent dynamics of coupled electron and nuclear spin qubits in diamond,” Science314, 281–285 (2006). [CrossRef] [PubMed]
- L. Isenhower, E. Urban, X. L. Zhang, A. T. Gill, T. Henage, T. A. Johnson, T. G. Walker, and M. Saffman, “Demonstration of a neutral atom controlled-NOT quantum gate,” Phys. Rev. Lett.104, 010503 (2010). [CrossRef]
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- R. Hanson, F. M. Mendoza, R. J. Epstein, and D. D. Awschalom, “Polarization and readout of coupled single spins in diamond,” Phys. Rev. Lett.97, 087601 (2006);;L. Childress, M. V. Gurudev Dutt, J. M. Taylor, A. S. Zibrov, F. Jelezko, J. Wrachtrup, P. R. Hemmer, and M. D. Lukin, “Coherent dynamics of coupled electron and nuclear spin qubits in diamond,” Science314, 281–285 (2006). [CrossRef] [PubMed]
- X. Q. Li, Y. W. Wu, D. Steel, D. Gammon, T. H. Stievater, D. S. Katzer, D. Park, C. Piermarocchi, and L. J. Sham, “An all-optical quantum gate in a semiconductor quantum dot,” Science301, 809–811 (2003). [CrossRef]
- Y. F. Xiao, J. Gao, X. B. Zou, J. F. McMillan, X. Yang, Y. L. Chen, Z. F. Han, G. C. Guo, and C. W. Wong, “Coupled quantum electrodynamics in photonic crystal cavities towards controlled phase gate operations,” New J. Phys.10, 123013 (2008). [CrossRef]
- W. L. Yang, Z. Y. Xu, M. Feng, and J. F. Du, “Entanglement of separate nitrogen-vacancy centers coupled to a whispering-gallery mode cavity,” New J. Phys.12, 113039 (2010). [CrossRef]
- P. Neumann, N. Mizuochi, F. Rempp, P. Hemmer, H. Watanabe, S. Yamasaki, V. Jacques, T. Gaebel, F. Jelezko, and J. Wrachtrup, “Multipartite entanglement among single spins in diamond,” Science320, 1326–1329 (2008). [CrossRef] [PubMed]
- Z. Zhao, A. N. Zhang, Y. A. Chen, H. Zhang, J. F. Du, T. Yang, and J. W. Pan, “Experimental demonstration of a nondestructive controlled-NOT quantum gate for two independent photon qubits,” Phys. Rev. Lett.94, 030501 (2005). [CrossRef] [PubMed]
- W. L. Yang, Z. Q. Yin, Y. Hu, M. Feng, and J. F. Du, “High-fidelity quantum memory using nitrogen-vacancy center ensemble for hybrid quantum computation,” Phys. Rev. A84, 010301(R)(2011). [CrossRef]
- Q. Chen, W. L. Yang, M. Fang, and J. F. Du, “Entangling separate nitrogen-vacancy centers in a scalable fashion via coupling to microtoroidal resonators,” Phys. Rev. A83, 054305 (2011). [CrossRef]
- W. L. Yang, Z. Y. Xu, M. Feng, and J. F. Du, “Entanglement of separate nitrogen-vacancy centers coupled to a whispering-gallery mode cavity,” New J. Phys.12, 113039 (2010). [CrossRef]
- Y. F. Xiao, J. Gao, X. B. Zou, J. F. McMillan, X. Yang, Y. L. Chen, Z. F. Han, G. C. Guo, and C. W. Wong, “Coupled quantum electrodynamics in photonic crystal cavities towards controlled phase gate operations,” New J. Phys.10, 123013 (2008). [CrossRef]
- W. L. Yang, Z. Q. Yin, Y. Hu, M. Feng, and J. F. Du, “High-fidelity quantum memory using nitrogen-vacancy center ensemble for hybrid quantum computation,” Phys. Rev. A84, 010301(R)(2011). [CrossRef]
- R. Ukai, S. Yokoyama, J. 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. 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]
- J. Q. You, X. B. Wang, T. Tanamoto, and F. Nori, “Efficient one-step generation of large cluster states with solid-state circuits,” Phys. Rev. A75, 052319 (2007). [CrossRef]
- P. Walther, K. J. Resch, T. Rudolph, E. Schenck, H. Weinfurter, V. Vedral, M. Aspelmeyer, and A. Zeilinger, “Experimental one-way quantum computing,” Nature434, 169–176 (2005) [CrossRef] [PubMed]
- Z. Zhao, A. N. Zhang, Y. A. Chen, H. Zhang, J. F. Du, T. Yang, and J. W. Pan, “Experimental demonstration of a nondestructive controlled-NOT quantum gate for two independent photon qubits,” Phys. Rev. Lett.94, 030501 (2005). [CrossRef] [PubMed]
- Z. Zhao, A. N. Zhang, Y. A. Chen, H. Zhang, J. F. Du, T. Yang, and J. W. Pan, “Experimental demonstration of a nondestructive controlled-NOT quantum gate for two independent photon qubits,” Phys. Rev. Lett.94, 030501 (2005). [CrossRef] [PubMed]
- C. Wang, Y. Zhang, G. S. Jin, and R. Zhang, “Efficient entanglement purification of separate nitrogen-vacancy centers via coupling to microtoroidal resonators,” J. Opt. Soc. Ame. B29(12), 3349–3354 (2012). [CrossRef]
- X. B. Zou, S.L. Zhang, K. Li, and G. C. Guo, “Linear optical implementation of the two-qubit controlled phase gate with conventional photon detectors,” Phys. Rev. A75, 034302 (2007). [CrossRef]
- L. Isenhower, E. Urban, X. L. Zhang, A. T. Gill, T. Henage, T. A. Johnson, T. G. Walker, and M. Saffman, “Demonstration of a neutral atom controlled-NOT quantum gate,” Phys. Rev. Lett.104, 010503 (2010). [CrossRef]
- C. Wang, Y. Zhang, G. S. Jin, and R. Zhang, “Efficient entanglement purification of separate nitrogen-vacancy centers via coupling to microtoroidal resonators,” J. Opt. Soc. Ame. B29(12), 3349–3354 (2012). [CrossRef]
- Z. Zhao, A. N. Zhang, Y. A. Chen, H. Zhang, J. F. Du, T. Yang, and J. W. Pan, “Experimental demonstration of a nondestructive controlled-NOT quantum gate for two independent photon qubits,” Phys. Rev. Lett.94, 030501 (2005). [CrossRef] [PubMed]
- Z. R. Lin, G. P. Guo, T. Tu, F. Y. Zhu, and G. C. Guo, “Generation of quantum-dot cluster states with a superconducting transmission line resonator,” Phys. Rev. Lett.101, 230501 (2008). [CrossRef] [PubMed]
- E. Togan, Y. Chu, A. S. Trifonov, L. Jiang, J. Maze, L. Childress, M. Dutt, A. S. Sorensen, P. R. Hemmer, A. S. Zibrov, and M. D. Lukin, Quantum entanglement between an optical photon and a solid-state spin qubit, Nature466, 730–734 (2010). [CrossRef] [PubMed]
- R. Hanson, F. M. Mendoza, R. J. Epstein, and D. D. Awschalom, “Polarization and readout of coupled single spins in diamond,” Phys. Rev. Lett.97, 087601 (2006);;L. Childress, M. V. Gurudev Dutt, J. M. Taylor, A. S. Zibrov, F. Jelezko, J. Wrachtrup, P. R. Hemmer, and M. D. Lukin, “Coherent dynamics of coupled electron and nuclear spin qubits in diamond,” Science314, 281–285 (2006). [CrossRef] [PubMed]
- Y. F. Xiao, J. Gao, X. B. Zou, J. F. McMillan, X. Yang, Y. L. Chen, Z. F. Han, G. C. Guo, and C. W. Wong, “Coupled quantum electrodynamics in photonic crystal cavities towards controlled phase gate operations,” New J. Phys.10, 123013 (2008). [CrossRef]
- X. B. Zou, S.L. Zhang, K. Li, and G. C. Guo, “Linear optical implementation of the two-qubit controlled phase gate with conventional photon detectors,” Phys. Rev. A75, 034302 (2007). [CrossRef]
J. Opt. Soc. Ame. B
- C. Wang, Y. Zhang, G. S. Jin, and R. Zhang, “Efficient entanglement purification of separate nitrogen-vacancy centers via coupling to microtoroidal resonators,” J. Opt. Soc. Ame. B29(12), 3349–3354 (2012). [CrossRef]
Nat. Mater.
- G. Balasubramanian, P. Neumann, D. Twitchen, M. Markham, R. Kolesov, N. Mizuochi, J. Isoya, J. Achard, J. Beck, J. Tissler, V. Jacques, P. R. Hemmer, F. Jelezko, and J. Wrachtrup, “Ultralong spin coherence time in isotopically engineered diamond,” Nat. Mater.8, 383–387 (2009). [CrossRef] [PubMed]
Nature
- E. Togan, Y. Chu, A. S. Trifonov, L. Jiang, J. Maze, L. Childress, M. Dutt, A. S. Sorensen, P. R. Hemmer, A. S. Zibrov, and M. D. Lukin, Quantum entanglement between an optical photon and a solid-state spin qubit, Nature466, 730–734 (2010). [CrossRef] [PubMed]
- P. Walther, K. J. Resch, T. Rudolph, E. Schenck, H. Weinfurter, V. Vedral, M. Aspelmeyer, and A. Zeilinger, “Experimental one-way quantum computing,” Nature434, 169–176 (2005) [CrossRef] [PubMed]
- 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,” Nature422, 408–411 (2003). [CrossRef] [PubMed]
New J. Phys.
- W. L. Yang, Z. Y. Xu, M. Feng, and J. F. Du, “Entanglement of separate nitrogen-vacancy centers coupled to a whispering-gallery mode cavity,” New J. Phys.12, 113039 (2010). [CrossRef]
- Y. F. Xiao, J. Gao, X. B. Zou, J. F. McMillan, X. Yang, Y. L. Chen, Z. F. Han, G. C. Guo, and C. W. Wong, “Coupled quantum electrodynamics in photonic crystal cavities towards controlled phase gate operations,” New J. Phys.10, 123013 (2008). [CrossRef]
Opt. Express
- P. E. Barclay, C. Santori, K.-M. Fu, R. G. Beausoleil, and O. Painter, “Coherent interference effects in a nano-assembled diamond NV center cavity-QED system,” Opt. Express17, 8081–8097 (2009). [CrossRef] [PubMed]
- P. E. Barclay, K. -M. Fu, C. Santori, and R. G. Beausoleil, “Hybrid photonic crystal cavity and waveguide for coupling to diamond NV-centers,” Opt. Express17, 9588–9601 (2009). [CrossRef] [PubMed]
Phys. Rev. A
- J. Q. You, X. B. Wang, T. Tanamoto, and F. Nori, “Efficient one-step generation of large cluster states with solid-state circuits,” Phys. Rev. A75, 052319 (2007). [CrossRef]
- S. G. R. Louis, K. Nemoto, W. J. Munro, and T. P. Spiller, “Weak nonlinearities and cluster states,” Phys. Rev. A75, 042323 (2007). [CrossRef]
- Q. Lin and B. He, “Efficient generation of universal two-dimensional cluster states with hybrid systems,” Phys. Rev. A82, 022331 (2010). [CrossRef]
- Q. Lin and J. Li, “Quantum control gates with weak cross-Kerr nonlinearity,” Phys. Rev. A, 79, 022301 (2009). [CrossRef]
- W. L. Yang, Z. Q. Yin, Y. Hu, M. Feng, and J. F. Du, “High-fidelity quantum memory using nitrogen-vacancy center ensemble for hybrid quantum computation,” Phys. Rev. A84, 010301(R)(2011). [CrossRef]
- X. B. Zou, S.L. Zhang, K. Li, and G. C. Guo, “Linear optical implementation of the two-qubit controlled phase gate with conventional photon detectors,” Phys. Rev. A75, 034302 (2007). [CrossRef]
- J. H. An, M. Feng, and C. H. Oh, “Quantum-information processing with a single photon by an input-output process with respect to low-Q cavities,” Phys. Rev. A79, 032303 (2009). [CrossRef]
- Q. Chen, W. L. Yang, M. Fang, and J. F. Du, “Entangling separate nitrogen-vacancy centers in a scalable fashion via coupling to microtoroidal resonators,” Phys. Rev. A83, 054305 (2011). [CrossRef]
Phys. Rev. Lett.
- R. Hanson, F. M. Mendoza, R. J. Epstein, and D. D. Awschalom, “Polarization and readout of coupled single spins in diamond,” Phys. Rev. Lett.97, 087601 (2006);;L. Childress, M. V. Gurudev Dutt, J. M. Taylor, A. S. Zibrov, F. Jelezko, J. Wrachtrup, P. R. Hemmer, and M. D. Lukin, “Coherent dynamics of coupled electron and nuclear spin qubits in diamond,” Science314, 281–285 (2006). [CrossRef] [PubMed]
- R. Raussendorf and H. J. Briegel, “A one-way quantum computer,” Phys. Rev. Lett.86, 5188–5191 (2001) [CrossRef] [PubMed]
- N.K. Langford, T. J. Weinhold, R. Prevedel, K. J. Resch, A. Gilchrist, J. L. O’Brien, G. J. Pryde, and A. G. White, “Demonstration of a simple entangling optical gate and its use in Bell-state analysis,” Phys. Rev. Lett.95, 210504 (2005). [CrossRef] [PubMed]
- Z. Zhao, A. N. Zhang, Y. A. Chen, H. Zhang, J. F. Du, T. Yang, and J. W. Pan, “Experimental demonstration of a nondestructive controlled-NOT quantum gate for two independent photon qubits,” Phys. Rev. Lett.94, 030501 (2005). [CrossRef] [PubMed]
- L. Isenhower, E. Urban, X. L. Zhang, A. T. Gill, T. Henage, T. A. Johnson, T. G. Walker, and M. Saffman, “Demonstration of a neutral atom controlled-NOT quantum gate,” Phys. Rev. Lett.104, 010503 (2010). [CrossRef]
- K. Lemr, A. Cernoch, J. Soubusta, K. Kieling, J. Eisert, and M. Dusek, “Experimental implementation of the optimal linear-optical controlled phase gate,” Phys. Rev. Lett.106, 013602 (2011). [CrossRef] [PubMed]
- R. Ukai, S. Yokoyama, J. 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]
- Z. R. Lin, G. P. Guo, T. Tu, F. Y. Zhu, and G. C. Guo, “Generation of quantum-dot cluster states with a superconducting transmission line resonator,” Phys. Rev. Lett.101, 230501 (2008). [CrossRef] [PubMed]
- M. A. Nielsen, “Optical quantum computation using cluster states,” Phys. Rev. Lett.93, 040503 (2004). [CrossRef] [PubMed]
- Y. X. Liu, L. F. Wei, J. S. Tsai, and F. Nori, “Controllable coupling between flux qubits,” Phys. Rev. Lett.96, 067003 (2006). [CrossRef] [PubMed]
Science
- P. Neumann, N. Mizuochi, F. Rempp, P. Hemmer, H. Watanabe, S. Yamasaki, V. Jacques, T. Gaebel, F. Jelezko, and J. Wrachtrup, “Multipartite entanglement among single spins in diamond,” Science320, 1326–1329 (2008). [CrossRef] [PubMed]
- B. Dayan, A. S. Parkins, T. Aoki, E. P. Ostby, K. J. Vahala, and H. J. Kimble, “A photon turnstile dynamically regulated by one atom,” Science319, 1062–1065 (2008). [CrossRef] [PubMed]
- X. Q. Li, Y. W. Wu, D. Steel, D. Gammon, T. H. Stievater, D. S. Katzer, D. Park, C. Piermarocchi, and L. J. Sham, “An all-optical quantum gate in a semiconductor quantum dot,” Science301, 809–811 (2003). [CrossRef]
Other
- D. F. Walls and G. J. Milburn, Quantum Optics (Springer-Verlag, Berlin Heidelberg, 1994).
2012, Wang, J. Opt. Soc. Ame. B
- C. Wang, Y. Zhang, G. S. Jin, and R. Zhang, “Efficient entanglement purification of separate nitrogen-vacancy centers via coupling to microtoroidal resonators,” J. Opt. Soc. Ame. B29(12), 3349–3354 (2012). [CrossRef]
- Q. Chen, W. L. Yang, M. Fang, and J. F. Du, “Entangling separate nitrogen-vacancy centers in a scalable fashion via coupling to microtoroidal resonators,” Phys. Rev. A83, 054305 (2011). [CrossRef]
- K. Lemr, A. Cernoch, J. Soubusta, K. Kieling, J. Eisert, and M. Dusek, “Experimental implementation of the optimal linear-optical controlled phase gate,” Phys. Rev. Lett.106, 013602 (2011). [CrossRef] [PubMed]
- R. Ukai, S. Yokoyama, J. 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]
- W. L. Yang, Z. Q. Yin, Y. Hu, M. Feng, and J. F. Du, “High-fidelity quantum memory using nitrogen-vacancy center ensemble for hybrid quantum computation,” Phys. Rev. A84, 010301(R)(2011). [CrossRef]
- W. L. Yang, Z. Y. Xu, M. Feng, and J. F. Du, “Entanglement of separate nitrogen-vacancy centers coupled to a whispering-gallery mode cavity,” New J. Phys.12, 113039 (2010). [CrossRef]
- L. Isenhower, E. Urban, X. L. Zhang, A. T. Gill, T. Henage, T. A. Johnson, T. G. Walker, and M. Saffman, “Demonstration of a neutral atom controlled-NOT quantum gate,” Phys. Rev. Lett.104, 010503 (2010). [CrossRef]
- E. Togan, Y. Chu, A. S. Trifonov, L. Jiang, J. Maze, L. Childress, M. Dutt, A. S. Sorensen, P. R. Hemmer, A. S. Zibrov, and M. D. Lukin, Quantum entanglement between an optical photon and a solid-state spin qubit, Nature466, 730–734 (2010). [CrossRef] [PubMed]
- Q. Lin and B. He, “Efficient generation of universal two-dimensional cluster states with hybrid systems,” Phys. Rev. A82, 022331 (2010). [CrossRef]
- Q. Lin and J. Li, “Quantum control gates with weak cross-Kerr nonlinearity,” Phys. Rev. A, 79, 022301 (2009). [CrossRef]
- G. Balasubramanian, P. Neumann, D. Twitchen, M. Markham, R. Kolesov, N. Mizuochi, J. Isoya, J. Achard, J. Beck, J. Tissler, V. Jacques, P. R. Hemmer, F. Jelezko, and J. Wrachtrup, “Ultralong spin coherence time in isotopically engineered diamond,” Nat. Mater.8, 383–387 (2009). [CrossRef] [PubMed]
- J. H. An, M. Feng, and C. H. Oh, “Quantum-information processing with a single photon by an input-output process with respect to low-Q cavities,” Phys. Rev. A79, 032303 (2009). [CrossRef]
- B. Dayan, A. S. Parkins, T. Aoki, E. P. Ostby, K. J. Vahala, and H. J. Kimble, “A photon turnstile dynamically regulated by one atom,” Science319, 1062–1065 (2008). [CrossRef] [PubMed]
- P. Neumann, N. Mizuochi, F. Rempp, P. Hemmer, H. Watanabe, S. Yamasaki, V. Jacques, T. Gaebel, F. Jelezko, and J. Wrachtrup, “Multipartite entanglement among single spins in diamond,” Science320, 1326–1329 (2008). [CrossRef] [PubMed]
- Y. F. Xiao, J. Gao, X. B. Zou, J. F. McMillan, X. Yang, Y. L. Chen, Z. F. Han, G. C. Guo, and C. W. Wong, “Coupled quantum electrodynamics in photonic crystal cavities towards controlled phase gate operations,” New J. Phys.10, 123013 (2008). [CrossRef]
- Z. R. Lin, G. P. Guo, T. Tu, F. Y. Zhu, and G. C. Guo, “Generation of quantum-dot cluster states with a superconducting transmission line resonator,” Phys. Rev. Lett.101, 230501 (2008). [CrossRef] [PubMed]
- J. Q. You, X. B. Wang, T. Tanamoto, and F. Nori, “Efficient one-step generation of large cluster states with solid-state circuits,” Phys. Rev. A75, 052319 (2007). [CrossRef]
- S. G. R. Louis, K. Nemoto, W. J. Munro, and T. P. Spiller, “Weak nonlinearities and cluster states,” Phys. Rev. A75, 042323 (2007). [CrossRef]
- X. B. Zou, S.L. Zhang, K. Li, and G. C. Guo, “Linear optical implementation of the two-qubit controlled phase gate with conventional photon detectors,” Phys. Rev. A75, 034302 (2007). [CrossRef]
- R. Hanson, F. M. Mendoza, R. J. Epstein, and D. D. Awschalom, “Polarization and readout of coupled single spins in diamond,” Phys. Rev. Lett.97, 087601 (2006);;L. Childress, M. V. Gurudev Dutt, J. M. Taylor, A. S. Zibrov, F. Jelezko, J. Wrachtrup, P. R. Hemmer, and M. D. Lukin, “Coherent dynamics of coupled electron and nuclear spin qubits in diamond,” Science314, 281–285 (2006). [CrossRef] [PubMed]
- R. Hanson, F. M. Mendoza, R. J. Epstein, and D. D. Awschalom, “Polarization and readout of coupled single spins in diamond,” Phys. Rev. Lett.97, 087601 (2006);;L. Childress, M. V. Gurudev Dutt, J. M. Taylor, A. S. Zibrov, F. Jelezko, J. Wrachtrup, P. R. Hemmer, and M. D. Lukin, “Coherent dynamics of coupled electron and nuclear spin qubits in diamond,” Science314, 281–285 (2006). [CrossRef] [PubMed]
- Y. X. Liu, L. F. Wei, J. S. Tsai, and F. Nori, “Controllable coupling between flux qubits,” Phys. Rev. Lett.96, 067003 (2006). [CrossRef] [PubMed]
- P. Walther, K. J. Resch, T. Rudolph, E. Schenck, H. Weinfurter, V. Vedral, M. Aspelmeyer, and A. Zeilinger, “Experimental one-way quantum computing,” Nature434, 169–176 (2005) [CrossRef] [PubMed]
- N.K. Langford, T. J. Weinhold, R. Prevedel, K. J. Resch, A. Gilchrist, J. L. O’Brien, G. J. Pryde, and A. G. White, “Demonstration of a simple entangling optical gate and its use in Bell-state analysis,” Phys. Rev. Lett.95, 210504 (2005). [CrossRef] [PubMed]
- Z. Zhao, A. N. Zhang, Y. A. Chen, H. Zhang, J. F. Du, T. Yang, and J. W. Pan, “Experimental demonstration of a nondestructive controlled-NOT quantum gate for two independent photon qubits,” Phys. Rev. Lett.94, 030501 (2005). [CrossRef] [PubMed]
- M. A. Nielsen, “Optical quantum computation using cluster states,” Phys. Rev. Lett.93, 040503 (2004). [CrossRef] [PubMed]
- 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,” Nature422, 408–411 (2003). [CrossRef] [PubMed]
- X. Q. Li, Y. W. Wu, D. Steel, D. Gammon, T. H. Stievater, D. S. Katzer, D. Park, C. Piermarocchi, and L. J. Sham, “An all-optical quantum gate in a semiconductor quantum dot,” Science301, 809–811 (2003). [CrossRef]
- R. Raussendorf and H. J. Briegel, “A one-way quantum computer,” Phys. Rev. Lett.86, 5188–5191 (2001) [CrossRef] [PubMed]
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