One-step implementation of the genuine Fredkin gate in high-Q coupled three-cavity arrays |
JOSA B, Vol. 31, Issue 4, pp. 697-703 (2014)
http://dx.doi.org/10.1364/JOSAB.31.000697
Enhanced HTML Acrobat PDF (581 KB)
Abstract
We present two efficient methods for implementing the Fredkin gate with atoms separately trapped in an array of three high-
© 2014 Optical Society of America
OCIS Codes
(020.5580) Atomic and molecular physics : Quantum electrodynamics
(270.5585) Quantum optics : Quantum information and processing
ToC Category:
Quantum Optics
History
Original Manuscript: October 30, 2013
Revised Manuscript: January 15, 2014
Manuscript Accepted: January 25, 2014
Published: March 5, 2014
Citation
Xiao-Qiang Shao, Tai-Yu Zheng, Xun-Li Feng, C. H. Oh, and Shou Zhang, "One-step implementation of the genuine Fredkin gate in high-Q coupled three-cavity arrays," J. Opt. Soc. Am. B 31, 697-703 (2014)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-31-4-697
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References
- P. W. Shor, “Algorithms for quantum computation: discrete logarithms and factoring,” in Proceedings of the 35th Symposium on Foundations of Computer Science, Santa Fe, S. Goldwasser, ed. (IEEE, 1994), pp. 124–134.
- P. W. Shor, “Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer,” SIAM J. Comput. 26, 1484–1509 (1997). [CrossRef]
- L. K. Grover, “Quantum computers can search rapidly by using almost any transformation,” Phys. Rev. Lett. 80, 4329–4332 (1998). [CrossRef]
- D. P. DiVincenzo, “Two-bit gates are universal for quantum computation,” Phys. Rev. A 51, 1015–1022 (1995). [CrossRef]
- C. P. Yang and S. Han, “n-qubit-controlled phase gate with superconducting quantum-interference devices coupled to a resonator,” Phys. Rev. A 72, 032311 (2005). [CrossRef]
- C. P. Yang and S. Han, “Realization of an n-qubit controlled-U gate with superconducting quantum interference devices or atoms in cavity QED,” Phys. Rev. A 73, 032317 (2006). [CrossRef]
- T. Monz, K. Kim, W. Hänsel, M. Riebe, A. S. Villar, P. Schindler, M. Chwalla, M. Hennrich, and R. Blatt, “Realization of the quantum Toffoli gate with trapped ions,” Phys. Rev. Lett. 102, 040501 (2009). [CrossRef]
- G. W. Lin, X. B. Zou, X. M. Lin, and G. C. Guo, “Robust and fast geometric quantum computation with multiqubit gates in cavity QED,” Phys. Rev. A 79, 064303 (2009). [CrossRef]
- X. Q. Shao, H. F. Wang, L. Chen, S. Zhang, and K. H. Yeon, “One-step implementation of the Toffoli gate via quantum Zeno dynamics,” Phys. Lett. A 374, 28–33 (2009). [CrossRef]
- X. Q. Shao, T. Y. Zheng, and S. Zhang, “Robust Toffoli gate originating from Stark shifts,” J. Opt. Soc. Am. B 29, 1203–1207 (2012). [CrossRef]
- W. L. Yang, Z. Q. Yin, Z. Y. Xu, M. Feng, and J. F. Du, “One-step implementation of multiqubit conditional phase gating with nitrogen-vacancy centers coupled to a high-Q silica microsphere cavity,” Appl. Phys. Lett. 96, 241113 (2010). [CrossRef]
- C. P. Yang, Y. X. Liu, and F. Nori, “Phase gate of one qubit simultaneously controlling n qubits in a cavity,” Phys. Rev. A 81, 062323 (2010). [CrossRef]
- C. P. Yang, S. B. Zheng, and F. Nori, “Multiqubit tunable phase gate of one qubit simultaneously controlling n qubits in a cavity,” Phys. Rev. A 82, 062326 (2010). [CrossRef]
- V. M. Stojanović, A. Fedorov, A. Wallraff, and C. Bruder, “Quantum-control approach to realizing a Toffoli gate in circuit QED,” Phys. Rev. B 85, 054504 (2012).
- A. M. Chen, S. Y. Cho, and M. D. Kim, “Implementation of a three-qubit Toffoli gate in a single step,” Phys. Rev. A 85, 032326 (2012). [CrossRef]
- C. Jones, “Composite Toffoli gate with two-round error detection,” Phys. Rev. A 87, 052334 (2013). [CrossRef]
- E. Fredkin and T. Toffoli, “Conservative logic,” Int. J. Theor. Phys. 21, 219–253 (1982). [CrossRef]
- A. Barenco, A. Berthiaume, D. Deutsch, A. Ekert, R. Jozsa, and C. Macchiavello, “Stabilisation of quantum computations by symmetrisation,” SIAM J. Comput. 26, 1541–1557 (1997). [CrossRef]
- I. L. Chuang and Y. Yamamoto, “Simple quantum computer,” Phys. Rev. A 52, 3489–3496 (1995). [CrossRef]
- G. J. Milburn, “Quantum optical Fredkin gate,” Phys. Rev. Lett. 62, 2124–2127 (1989). [CrossRef]
- J. Fiurášek, “Linear-optics quantum Toffoli and Fredkin gates,” Phys. Rev. A 73, 062313 (2006). [CrossRef]
- J. Fiurášek, “Linear optical Fredkin gate based on partial-SWAP gate,” Phys. Rev. A 78, 032317 (2008). [CrossRef]
- Y. X. Gong, G. C. Guo, and T. C. Ralph, “Methods for a linear optical quantum Fredkin gate,” Phys. Rev. A 78, 012305 (2008). [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. B. Zou, J. Kim, and H. W. Lee, “Generation of two-mode nonclassical motional states and a Fredkin gate operation in a two-dimensional ion trap,” Phys. Rev. A 63, 065801 (2001). [CrossRef]
- B. Wang and L. M. Duan, “Implementation scheme of controlled SWAP gates for quantum fingerprinting and photonic quantum computation,” Phys. Rev. A 75, 050304(R) (2007). [CrossRef]
- J. Song, Y. Xia, and H. S. Song, “Quantum gate operations using atomic qubits through cavity input-output process,” Europhys. Lett. 87, 50005 (2009). [CrossRef]
- S. B. Zheng, “Implementation of Toffoli gates with a single asymmetric Heisenberg XY interaction,” Phys. Rev. A 87, 042318 (2013). [CrossRef]
- X. Q. Shao, T. Y. Zheng, and S. Zhang, “Fast synthesis of the Fredkin gate via quantum Zeno dynamics,” Quant. Info. Proc. 11, 1797–1808 (2012).
- D. G. Angelakis, M. F. Santos, and S. Bose, “Photon-blockade-induced Mott transitions and XY spin models in coupled cavity arrays,” Phys. Rev. A 76, 031805(R) (2007). [CrossRef]
- E. K. Irish, C. D. Ogden, and M. S. Kim, “Polaritonic characteristics of insulator and superfluid states in a coupled-cavity array,” Phys. Rev. A 77, 033801 (2008). [CrossRef]
- J. Cho, D. G. Angelakis, and S. Bose, “Fractional quantum Hall state in coupled cavities,” Phys. Rev. Lett. 101, 246809 (2008). [CrossRef]
- T. C. H. Liew and V. Savona, “Multimode entanglement in coupled cavity arrays,” New J. Phys. 15, 025015 (2013). [CrossRef]
- M. J. Hartmann, F. G. S. Brandão, and M. B. Plenio, “Quantum many-body phenomena in coupled cavity arrays,” Laser Photonics Rev. 2, 527–556 (2008), and reference therein. [CrossRef]
- A. Serafini, S. Mancini, and S. Bose, “Distributed quantum computation via optical fibers,” Phys. Rev. Lett. 96, 010503 (2006). [CrossRef]
- Z. Q. Yin and F. L. Li, “Multiatom and resonant interaction scheme for quantum state transfer and logical gates between two remote cavities via an optical fiber,” Phys. Rev. A 75, 012324 (2007). [CrossRef]
- Z. B. Yang, H. Z. Wu, W. J. Su, and S. B. Zheng, “Quantum phase gates for two atoms trapped in separate cavities within the null- and single-excitation subspaces,” Phys. Rev. A 80, 012305 (2009). [CrossRef]
- Z. B. Yang, Y. Xia, and S. B. Zheng, “Resonant scheme for realizing quantum phase gates for two separate atoms via coupled cavities,” Opt. Commun. 283, 3052–3057 (2010). [CrossRef]
- P. Facchi and S. Pascazio, “Quantum Zeno dynamics of a field in a cavity,” Phys. Rev. Lett. 89, 080401 (2002). [CrossRef]
- A. Beige, H. Cable, C. Marr, and P. L. Knight, “Speeding up gate operations through dissipation,” Laser Phys. 15, 162–169 (2005).
- A. G. White, A. Gilchrist, G. J. Pryde, J. L. O’Brien, M. J. Bremner, and N. K. Langford, “Measuring two-qubit gates,” J. Opt. Soc. Am. B 24, 172–183 (2007). [CrossRef]
- M. A. Nielsen, “A simple formula for the average gate fidelity of a quantum dynamical operation,” Phys. Lett. A 303, 249–252 (2002). [CrossRef]
- M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge University, 1997).
- D. K. Armani, T. J. Kippenberg, S. M. Spillane, and K. J. Vahala, “Ultra-high-Q toroid microcavity on a chip,” Nature 421, 925–928 (2003). [CrossRef]
- S. M. Spillane, T. J. Kippenberg, K. J. Vahala, K. W. Goh, E. Wilcut, and H. J. Kimble, “Ultrahigh-Q toroidal microresonators for cavity quantum electrodynamics,” Phys. Rev. A 71, 013817 (2005). [CrossRef]
- B. S. Song, S. Noda, T. Asano, and Y. Akahane, “Ultra-high-Q photonic double-heterostructure nanocavity,” Nat. Mater. 4, 207–210 (2005). [CrossRef]
- T. Tanabe, M. Notomi, E. Kuramochi, A. Shinya, and H. Taniyama, “Trapping and delaying photons for one nanosecond in an ultrasmall high-Q photonic-crystal nanocavity,” Nat. Photonics 1, 49–52 (2007). [CrossRef]
- M. Notomi, E. Kuramochi, and T. Tanabe, “Large-scale arrays of ultrahigh-Q coupled nanocavities,” Nat. Photonics 2, 741–747 (2008). [CrossRef]
- J. Preskill, Lecture Notes on Quantum Computation, see http://www.theory.caltech.edu/people/preskill/ph229 .
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