Abstract

This paper presents an optimal entanglement concentration protocol (ECP) for entangled solid-state systems, using the coherent-state input–output process working in the low-Q cavity quantum electrodynamics regime. The solid-state system can be described as a three-level atom confined in a one-side optical microcavity. Using the ancillary coherent optical pulse to perform the cavity input–output process, different state-dependent phase shifts of the output coherent state can be discriminated by homodyne detection, and a less-entangled atomic pair can be concentrated to maximally entangled state in a certain probability between two remote parties nonlocally. By repeating the concentration process, the remote parties can further obtain a higher success probability. Compared with conventional ECPs, only one pair of less-entangled atoms is needed in the proposed protocol, and the coherent-state input–output process is working in a low-Q cavity in the atom–cavity intermediate coupling region. With feasible technologies, this protocol may be widely used in quantum repeaters and long-distance quantum communication.

© 2013 Optical Society of America

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2013 (1)

2012 (7)

Z. H. Peng, J. Zou, X. J. Liu, Y. J. Xiao, and L. M. Kuang, “Atomic and photonic entanglement concentration via photonic Faraday rotation,” Phys. Rev. A 86, 034305 (2012).
[CrossRef]

W. P. Bastos, W. B. Cardoso, A. T. Avelar, N. G. de Almeida, and B. Baseia, “Controlled teleportation via photonic Faraday rotations in low-Q cavities,” Quantum Inf. Process. 11, 1867–1881 (2012).
[CrossRef]

Z. H. Peng, J. Zou, X. J. Liu, and L. M. Kuang, “Teleportation of atomic and photonic states in low-Q cavity QED,” Opt. Commun. 285, 5558–5563 (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]

F. G. Deng, “Optimal nonlocal multipartite entanglement concentration based on projection measurements,” Phys. Rev. A 85, 022311 (2012).
[CrossRef]

C. Wang, “Efficient entanglement concentration for partially entangled electrons using a quantum-dot and microcavity coupled system,” Phys. Rev. A 86, 012323 (2012).
[CrossRef]

S. L. Su, Q. Guo, L. Zhu, H. F. Wang, and S. Zhang, “Atomic quantum information processing in low-Q cavity in the intermediate coupling region,” J. Opt. Soc. Am. B 29, 2827–2833 (2012).
[CrossRef]

2011 (2)

C. Wang, Y. Zhang, and G. S. Jin, “Polarization-entanglement purification and concentration using cross-Kerr nonlinearity,” Quantum Inf. Comput. 11, 988–1002 (2011).

W. P. Bastos, W. B. Cardoso, A. T. Avelar, and B. Baseia, “A note on entanglement swapping of atomic states through the photonic Faraday rotation,” Quantum Inf. Process. 10, 395–404 (2011).
[CrossRef]

2010 (3)

F. Mei, Y. F. Yu, X. L. Feng, S. L. Zhu, and Z. M. Zhang, “Optical quantum computation with cavities in the intermediate coupling region,” Europhys. Lett. 91, 10001 (2010).
[CrossRef]

J. J. Chen, J. H. An, M. Feng, and G. Liu, “Teleportation of an arbitrary multipartite state via photonic Faraday rotation,” J. Phys. B 43, 095505 (2010).

F. Mei, Y. F. Yu, X. L. Feng, Z. M. Zhang, and C. H. Oh, “Quantum entanglement distribution with hybrid parity gate,” Phys. Rev. A 82, 052315 (2010).
[CrossRef]

2009 (3)

T. Aoki, A. S. Parkins, D. J. Alton, C. A. Regal, B. Dayan, E. Ostby, K. J. Vahala, and H. J. Kimble, “Efficient routing of single photons by one atom and a microtoroidal cavity,” Phys. Rev. Lett. 102, 083601 (2009).
[CrossRef]

Q. Chen and M. Feng, “Quantum gating on neutral atoms in low-Q cavities by a single-photon input–output process,” Phys. Rev. A 79, 064304 (2009).
[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. A 79, 032303 (2009).
[CrossRef]

2008 (2)

C. Y. Hu, A. Young, J. L. O’Brien, W. J. Munro, and J. G. Rarity, “Giant optical Faraday rotation induced by a single-electron spin in a quantum dot: applications to entangling remote spins via a single photon,” Phys. Rev. B 78, 085307 (2008).
[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]

2007 (6)

A. Auffèves-Garnier, C. Simon, J. M. Gérard, and J. P. Poizat, “Giant optical nonlinearity induced by a single two-level system interacting with a cavity in the Purcell regime,” Phys. Rev. A 75, 053823 (2007).
[CrossRef]

C. D. Ogden, M. Paternostro, and M. S. Kim, “Concentration and purification of entanglement for qubit systems with ancillary cavity fields,” Phys. Rev. A 75, 042325 (2007).
[CrossRef]

H. Wei, Z. Deng, X. Zhang, and M. Feng, “Transfer and teleportation of quantum states encoded in decoherence-free subspace,” Phys. Rev. A 76, 054304 (2007).
[CrossRef]

K. M. Fortier, S. Y. Kim, M. J. Gibbons, P. Ahmadi, and M. S. Chapman, “Deterministic loading of individual atoms to a high-finesse optical cavity,” Phys. Rev. Lett. 98, 233601 (2007).
[CrossRef]

Y. Colombe, T. Steinmetz, G. Dubois, F. Linke, D. Hunger, and J. Reichel, “Strong atom–field coupling for Bose–Einstein condensates in an optical cavity on a chip,” Nature 450, 272–276 (2007).
[CrossRef]

S. G. R. Louis, K. Nemoto, W. J. Munro, and T. P. Spiller, “The efficiencies of generating cluster states with weak nonlinearities,” New J. Phys. 9, 193–212 (2007).
[CrossRef]

2006 (2)

P. van Loock, T. D. Ladd, K. Sanaka, F. Yamaguchi, K. Nemoto, W. J. Munro, and Y. Yamamoto, “Hybrid quantum repeater using bright coherent light,” Phys. Rev. Lett. 96240501 (2006).
[CrossRef]

T. D. Ladd, P. van Loock, K. Nemoto, W. J. Munro, and Y. Yamamoto, “Hybrid quantum repeater based on dispersive CQED interactions between matter qubits and bright coherent light,” New J. Phys. 8, 184–225 (2006).
[CrossRef]

2005 (3)

X. L. Feng, L. C. Kwek, and C. H. Oh, “Electronic entanglement purification scheme enhanced by charge detections,” Phys. Rev. A 71, 064301 (2005).
[CrossRef]

C. Wang, F. G. Deng, Y. S. Li, X. S. Liu, and G. L. Long, “Quantum secure direct communication with high-dimension quantum superdense coding,” Phys. Rev. A 71, 044305 (2005).
[CrossRef]

S. Nußmann, M. Hijlkema, B. Weber, F. Rohde, G. Rempe, and A. Kuhn, “Submicron positioning of single atoms in a microcavity,” Phys. Rev. Lett. 95, 173602 (2005).
[CrossRef]

2004 (2)

J. A. Sauer, K. M. Fortier, M. S. Chang, C. D. Hamley, and M. S. Chapman, “Cavity QED with optically transported atoms,” Phys. Rev. A 69, 051804(R) (2004).
[CrossRef]

K. Nemoto and W. J. Munro, “Nearly deterministic linear optical controlled-NOT gate,” Phys. Rev. Lett. 93, 250502 (2004).
[CrossRef]

2003 (2)

F. G. Deng, G. L. Long, and X. S. Liu, “Two-step quantum direct communication protocol using the Einstein–Podolsky–Rosen pair block,” Phys. Rev. A 68, 042317 (2003).
[CrossRef]

F. G. Deng and G. L. Long, “Controlled order rearrangement encryption for quantum key distribution,” Phys. Rev. A 68, 042315 (2003).
[CrossRef]

2002 (4)

X. S. Liu, G. L. Long, D. M. Tong, and F. Li, “General scheme for superdense coding between multiparties,” Phys. Rev. A 65, 022304 (2002).
[CrossRef]

A. Grudka and A. Wójcik, “Symmetric scheme for superdense coding between multiparties,” Phys. Rev. A 66, 014301 (2002).
[CrossRef]

G. L. Long and X. S. Liu, “Theoretically efficient high-capacity quantum-key-distribution scheme,” Phys. Rev. A 65, 032302 (2002).
[CrossRef]

A. B. Mundt, A. Kreuter, C. Becher, D. Leibfried, J. Eschner, F. Schmidt-Kaler, and R. Blatt, “Coupling a single atomic quantum bit to a high finesse optical cavity,” Phys. Rev. Lett. 89, 103001 (2002).
[CrossRef]

2001 (2)

T. Yamamoto, M. Koashi, and N. Imoto, “Concentration and purification scheme for two partially entangled photon pairs,” Phys. Rev. A 64, 012304 (2001).
[CrossRef]

Z. Zhao, J. W. Pan, and M. S. Zhan, “Practical scheme for entanglement concentration,” Phys. Rev. A 64, 014301 (2001).
[CrossRef]

2000 (1)

B. S. Shi, Y. K. Jiang, and G. C. Guo, “Optimal entanglement purification via entanglement swapping,” Phys. Rev. A 62, 054301 (2000).
[CrossRef]

1999 (3)

S. Bose, V. Vedral, and P. L. Knight, “Purification via entanglement swapping and conserved entanglement,” Phys. Rev. A 60, 194–197 (1999).
[CrossRef]

M. Hillery, V. Bužek, and A. Berthiaume, “Quantum secret sharing,” Phys. Rev. A 59, 1829–1834 (1999).
[CrossRef]

A. Karlsson, M. Koashi, and N. Imoto, “Quantum entanglement for secret sharing and secret splitting,” Phys. Rev. A 59, 162–168 (1999).
[CrossRef]

1997 (2)

M. Dakna, T. Anhut, T. Opatrny, L. Knoll, and D. G. Welsch, “Generating Schrodinger-cat-like states by means of conditional measurements on a beam splitter,” Phys. Rev. A 55, 3184–3194 (1997).
[CrossRef]

M. Takeoka and M. Sasaki, “Conditional generation of an arbitrary superposition of coherent states,” Phys. Rev. A 75, 064302 (1997).
[CrossRef]

1996 (2)

C. H. Bennett, G. Brassard, S. Popescu, B. Schumacher, J. A. Smolin, and W. K. Wootters, “Purification of noisy entanglement and faithful teleportation via noisy channels,” Phys. Rev. Lett. 76, 722–725 (1996).
[CrossRef]

C. H. Bennett, H. J. Bernstein, S. Popescu, and B. Schumacher, “Concentrating partial entanglement by local operations,” Phys. Rev. A 53, 2046–2052 (1996).
[CrossRef]

1993 (1)

C. H. Bennett, G. Brassard, C. Crepeau, R. Jozsa, A. Peres, and W. K. Wootters, “Teleporting an unknown quantum state via dual classical and Einstein–Podolsky–Rosen channels,” Phys. Rev. Lett. 70, 1895–1899 (1993).
[CrossRef]

1992 (2)

C. H. Bennett and S. J. Wiesner, “Communication via one- and two-particle operators on Einstein–Podolsky–Rosen states,” Phys. Rev. Lett. 69, 2881–2884 (1992).
[CrossRef]

C. H. Bennett, G. Brassard, and N. D. Mermin, “Quantum cryptography without Bell’s theorem,” Phys. Rev. Lett. 68, 557–559 (1992).
[CrossRef]

1991 (1)

A. K. Ekert, “Quantum cryptography based on Bell’s theorem,” Phys. Rev. Lett. 67, 661–663 (1991).
[CrossRef]

1986 (1)

B. Yurke and D. Stoler, “Generating quantum mechanical superpositions of macroscopically distinguishable states via amplitude dispersion,” Phys. Rev. Lett. 57, 13–16 (1986).
[CrossRef]

Ahmadi, P.

K. M. Fortier, S. Y. Kim, M. J. Gibbons, P. Ahmadi, and M. S. Chapman, “Deterministic loading of individual atoms to a high-finesse optical cavity,” Phys. Rev. Lett. 98, 233601 (2007).
[CrossRef]

Alton, D. J.

T. Aoki, A. S. Parkins, D. J. Alton, C. A. Regal, B. Dayan, E. Ostby, K. J. Vahala, and H. J. Kimble, “Efficient routing of single photons by one atom and a microtoroidal cavity,” Phys. Rev. Lett. 102, 083601 (2009).
[CrossRef]

An, J. H.

J. J. Chen, J. H. An, M. Feng, and G. Liu, “Teleportation of an arbitrary multipartite state via photonic Faraday rotation,” J. Phys. B 43, 095505 (2010).

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. A 79, 032303 (2009).
[CrossRef]

Anhut, T.

M. Dakna, T. Anhut, T. Opatrny, L. Knoll, and D. G. Welsch, “Generating Schrodinger-cat-like states by means of conditional measurements on a beam splitter,” Phys. Rev. A 55, 3184–3194 (1997).
[CrossRef]

Aoki, T.

T. Aoki, A. S. Parkins, D. J. Alton, C. A. Regal, B. Dayan, E. Ostby, K. J. Vahala, and H. J. Kimble, “Efficient routing of single photons by one atom and a microtoroidal cavity,” Phys. Rev. Lett. 102, 083601 (2009).
[CrossRef]

Auffèves-Garnier, A.

A. Auffèves-Garnier, C. Simon, J. M. Gérard, and J. P. Poizat, “Giant optical nonlinearity induced by a single two-level system interacting with a cavity in the Purcell regime,” Phys. Rev. A 75, 053823 (2007).
[CrossRef]

Avelar, A. T.

W. P. Bastos, W. B. Cardoso, A. T. Avelar, N. G. de Almeida, and B. Baseia, “Controlled teleportation via photonic Faraday rotations in low-Q cavities,” Quantum Inf. Process. 11, 1867–1881 (2012).
[CrossRef]

W. P. Bastos, W. B. Cardoso, A. T. Avelar, and B. Baseia, “A note on entanglement swapping of atomic states through the photonic Faraday rotation,” Quantum Inf. Process. 10, 395–404 (2011).
[CrossRef]

Baseia, B.

W. P. Bastos, W. B. Cardoso, A. T. Avelar, N. G. de Almeida, and B. Baseia, “Controlled teleportation via photonic Faraday rotations in low-Q cavities,” Quantum Inf. Process. 11, 1867–1881 (2012).
[CrossRef]

W. P. Bastos, W. B. Cardoso, A. T. Avelar, and B. Baseia, “A note on entanglement swapping of atomic states through the photonic Faraday rotation,” Quantum Inf. Process. 10, 395–404 (2011).
[CrossRef]

Bastos, W. P.

W. P. Bastos, W. B. Cardoso, A. T. Avelar, N. G. de Almeida, and B. Baseia, “Controlled teleportation via photonic Faraday rotations in low-Q cavities,” Quantum Inf. Process. 11, 1867–1881 (2012).
[CrossRef]

W. P. Bastos, W. B. Cardoso, A. T. Avelar, and B. Baseia, “A note on entanglement swapping of atomic states through the photonic Faraday rotation,” Quantum Inf. Process. 10, 395–404 (2011).
[CrossRef]

Becher, C.

A. B. Mundt, A. Kreuter, C. Becher, D. Leibfried, J. Eschner, F. Schmidt-Kaler, and R. Blatt, “Coupling a single atomic quantum bit to a high finesse optical cavity,” Phys. Rev. Lett. 89, 103001 (2002).
[CrossRef]

Bennett, C. H.

C. H. Bennett, G. Brassard, S. Popescu, B. Schumacher, J. A. Smolin, and W. K. Wootters, “Purification of noisy entanglement and faithful teleportation via noisy channels,” Phys. Rev. Lett. 76, 722–725 (1996).
[CrossRef]

C. H. Bennett, H. J. Bernstein, S. Popescu, and B. Schumacher, “Concentrating partial entanglement by local operations,” Phys. Rev. A 53, 2046–2052 (1996).
[CrossRef]

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C. H. Bennett, G. Brassard, C. Crepeau, R. Jozsa, A. Peres, and W. K. Wootters, “Teleporting an unknown quantum state via dual classical and Einstein–Podolsky–Rosen channels,” Phys. Rev. Lett. 70, 1895–1899 (1993).
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K. M. Fortier, S. Y. Kim, M. J. Gibbons, P. Ahmadi, and M. S. Chapman, “Deterministic loading of individual atoms to a high-finesse optical cavity,” Phys. Rev. Lett. 98, 233601 (2007).
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T. Aoki, A. S. Parkins, D. J. Alton, C. A. Regal, B. Dayan, E. Ostby, K. J. Vahala, and H. J. Kimble, “Efficient routing of single photons by one atom and a microtoroidal cavity,” Phys. Rev. Lett. 102, 083601 (2009).
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S. Bose, V. Vedral, and P. L. Knight, “Purification via entanglement swapping and conserved entanglement,” Phys. Rev. A 60, 194–197 (1999).
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M. Dakna, T. Anhut, T. Opatrny, L. Knoll, and D. G. Welsch, “Generating Schrodinger-cat-like states by means of conditional measurements on a beam splitter,” Phys. Rev. A 55, 3184–3194 (1997).
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Z. H. Peng, J. Zou, X. J. Liu, Y. J. Xiao, and L. M. Kuang, “Atomic and photonic entanglement concentration via photonic Faraday rotation,” Phys. Rev. A 86, 034305 (2012).
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S. Nußmann, M. Hijlkema, B. Weber, F. Rohde, G. Rempe, and A. Kuhn, “Submicron positioning of single atoms in a microcavity,” Phys. Rev. Lett. 95, 173602 (2005).
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X. L. Feng, L. C. Kwek, and C. H. Oh, “Electronic entanglement purification scheme enhanced by charge detections,” Phys. Rev. A 71, 064301 (2005).
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T. D. Ladd, P. van Loock, K. Nemoto, W. J. Munro, and Y. Yamamoto, “Hybrid quantum repeater based on dispersive CQED interactions between matter qubits and bright coherent light,” New J. Phys. 8, 184–225 (2006).
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C. Wang, F. G. Deng, Y. S. Li, X. S. Liu, and G. L. Long, “Quantum secure direct communication with high-dimension quantum superdense coding,” Phys. Rev. A 71, 044305 (2005).
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Y. Colombe, T. Steinmetz, G. Dubois, F. Linke, D. Hunger, and J. Reichel, “Strong atom–field coupling for Bose–Einstein condensates in an optical cavity on a chip,” Nature 450, 272–276 (2007).
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J. J. Chen, J. H. An, M. Feng, and G. Liu, “Teleportation of an arbitrary multipartite state via photonic Faraday rotation,” J. Phys. B 43, 095505 (2010).

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Z. H. Peng, J. Zou, X. J. Liu, and L. M. Kuang, “Teleportation of atomic and photonic states in low-Q cavity QED,” Opt. Commun. 285, 5558–5563 (2012).
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Z. H. Peng, J. Zou, X. J. Liu, Y. J. Xiao, and L. M. Kuang, “Atomic and photonic entanglement concentration via photonic Faraday rotation,” Phys. Rev. A 86, 034305 (2012).
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C. Wang, F. G. Deng, Y. S. Li, X. S. Liu, and G. L. Long, “Quantum secure direct communication with high-dimension quantum superdense coding,” Phys. Rev. A 71, 044305 (2005).
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F. G. Deng, G. L. Long, and X. S. Liu, “Two-step quantum direct communication protocol using the Einstein–Podolsky–Rosen pair block,” Phys. Rev. A 68, 042317 (2003).
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X. S. Liu, G. L. Long, D. M. Tong, and F. Li, “General scheme for superdense coding between multiparties,” Phys. Rev. A 65, 022304 (2002).
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C. Wang, F. G. Deng, Y. S. Li, X. S. Liu, and G. L. Long, “Quantum secure direct communication with high-dimension quantum superdense coding,” Phys. Rev. A 71, 044305 (2005).
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F. G. Deng, G. L. Long, and X. S. Liu, “Two-step quantum direct communication protocol using the Einstein–Podolsky–Rosen pair block,” Phys. Rev. A 68, 042317 (2003).
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F. G. Deng and G. L. Long, “Controlled order rearrangement encryption for quantum key distribution,” Phys. Rev. A 68, 042315 (2003).
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S. G. R. Louis, K. Nemoto, W. J. Munro, and T. P. Spiller, “The efficiencies of generating cluster states with weak nonlinearities,” New J. Phys. 9, 193–212 (2007).
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F. Mei, Y. F. Yu, X. L. Feng, S. L. Zhu, and Z. M. Zhang, “Optical quantum computation with cavities in the intermediate coupling region,” Europhys. Lett. 91, 10001 (2010).
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F. Mei, Y. F. Yu, X. L. Feng, Z. M. Zhang, and C. H. Oh, “Quantum entanglement distribution with hybrid parity gate,” Phys. Rev. A 82, 052315 (2010).
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C. H. Bennett, G. Brassard, and N. D. Mermin, “Quantum cryptography without Bell’s theorem,” Phys. Rev. Lett. 68, 557–559 (1992).
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A. B. Mundt, A. Kreuter, C. Becher, D. Leibfried, J. Eschner, F. Schmidt-Kaler, and R. Blatt, “Coupling a single atomic quantum bit to a high finesse optical cavity,” Phys. Rev. Lett. 89, 103001 (2002).
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C. Y. Hu, A. Young, J. L. O’Brien, W. J. Munro, and J. G. Rarity, “Giant optical Faraday rotation induced by a single-electron spin in a quantum dot: applications to entangling remote spins via a single photon,” Phys. Rev. B 78, 085307 (2008).
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S. G. R. Louis, K. Nemoto, W. J. Munro, and T. P. Spiller, “The efficiencies of generating cluster states with weak nonlinearities,” New J. Phys. 9, 193–212 (2007).
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T. D. Ladd, P. van Loock, K. Nemoto, W. J. Munro, and Y. Yamamoto, “Hybrid quantum repeater based on dispersive CQED interactions between matter qubits and bright coherent light,” New J. Phys. 8, 184–225 (2006).
[CrossRef]

P. van Loock, T. D. Ladd, K. Sanaka, F. Yamaguchi, K. Nemoto, W. J. Munro, and Y. Yamamoto, “Hybrid quantum repeater using bright coherent light,” Phys. Rev. Lett. 96240501 (2006).
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S. G. R. Louis, K. Nemoto, W. J. Munro, and T. P. Spiller, “The efficiencies of generating cluster states with weak nonlinearities,” New J. Phys. 9, 193–212 (2007).
[CrossRef]

T. D. Ladd, P. van Loock, K. Nemoto, W. J. Munro, and Y. Yamamoto, “Hybrid quantum repeater based on dispersive CQED interactions between matter qubits and bright coherent light,” New J. Phys. 8, 184–225 (2006).
[CrossRef]

P. van Loock, T. D. Ladd, K. Sanaka, F. Yamaguchi, K. Nemoto, W. J. Munro, and Y. Yamamoto, “Hybrid quantum repeater using bright coherent light,” Phys. Rev. Lett. 96240501 (2006).
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K. Nemoto and W. J. Munro, “Nearly deterministic linear optical controlled-NOT gate,” Phys. Rev. Lett. 93, 250502 (2004).
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S. Nußmann, M. Hijlkema, B. Weber, F. Rohde, G. Rempe, and A. Kuhn, “Submicron positioning of single atoms in a microcavity,” Phys. Rev. Lett. 95, 173602 (2005).
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C. Y. Hu, A. Young, J. L. O’Brien, W. J. Munro, and J. G. Rarity, “Giant optical Faraday rotation induced by a single-electron spin in a quantum dot: applications to entangling remote spins via a single photon,” Phys. Rev. B 78, 085307 (2008).
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C. D. Ogden, M. Paternostro, and M. S. Kim, “Concentration and purification of entanglement for qubit systems with ancillary cavity fields,” Phys. Rev. A 75, 042325 (2007).
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Oh, C. H.

F. Mei, Y. F. Yu, X. L. Feng, Z. M. Zhang, and C. H. Oh, “Quantum entanglement distribution with hybrid parity gate,” Phys. Rev. A 82, 052315 (2010).
[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. A 79, 032303 (2009).
[CrossRef]

X. L. Feng, L. C. Kwek, and C. H. Oh, “Electronic entanglement purification scheme enhanced by charge detections,” Phys. Rev. A 71, 064301 (2005).
[CrossRef]

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M. Dakna, T. Anhut, T. Opatrny, L. Knoll, and D. G. Welsch, “Generating Schrodinger-cat-like states by means of conditional measurements on a beam splitter,” Phys. Rev. A 55, 3184–3194 (1997).
[CrossRef]

Ostby, E.

T. Aoki, A. S. Parkins, D. J. Alton, C. A. Regal, B. Dayan, E. Ostby, K. J. Vahala, and H. J. Kimble, “Efficient routing of single photons by one atom and a microtoroidal cavity,” Phys. Rev. Lett. 102, 083601 (2009).
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T. Aoki, A. S. Parkins, D. J. Alton, C. A. Regal, B. Dayan, E. Ostby, K. J. Vahala, and H. J. Kimble, “Efficient routing of single photons by one atom and a microtoroidal cavity,” Phys. Rev. Lett. 102, 083601 (2009).
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C. D. Ogden, M. Paternostro, and M. S. Kim, “Concentration and purification of entanglement for qubit systems with ancillary cavity fields,” Phys. Rev. A 75, 042325 (2007).
[CrossRef]

Peng, Z. H.

Z. H. Peng, J. Zou, X. J. Liu, and L. M. Kuang, “Teleportation of atomic and photonic states in low-Q cavity QED,” Opt. Commun. 285, 5558–5563 (2012).
[CrossRef]

Z. H. Peng, J. Zou, X. J. Liu, Y. J. Xiao, and L. M. Kuang, “Atomic and photonic entanglement concentration via photonic Faraday rotation,” Phys. Rev. A 86, 034305 (2012).
[CrossRef]

Peres, A.

C. H. Bennett, G. Brassard, C. Crepeau, R. Jozsa, A. Peres, and W. K. Wootters, “Teleporting an unknown quantum state via dual classical and Einstein–Podolsky–Rosen channels,” Phys. Rev. Lett. 70, 1895–1899 (1993).
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A. Auffèves-Garnier, C. Simon, J. M. Gérard, and J. P. Poizat, “Giant optical nonlinearity induced by a single two-level system interacting with a cavity in the Purcell regime,” Phys. Rev. A 75, 053823 (2007).
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C. H. Bennett, G. Brassard, S. Popescu, B. Schumacher, J. A. Smolin, and W. K. Wootters, “Purification of noisy entanglement and faithful teleportation via noisy channels,” Phys. Rev. Lett. 76, 722–725 (1996).
[CrossRef]

C. H. Bennett, H. J. Bernstein, S. Popescu, and B. Schumacher, “Concentrating partial entanglement by local operations,” Phys. Rev. A 53, 2046–2052 (1996).
[CrossRef]

Rarity, J. G.

C. Y. Hu, A. Young, J. L. O’Brien, W. J. Munro, and J. G. Rarity, “Giant optical Faraday rotation induced by a single-electron spin in a quantum dot: applications to entangling remote spins via a single photon,” Phys. Rev. B 78, 085307 (2008).
[CrossRef]

Regal, C. A.

T. Aoki, A. S. Parkins, D. J. Alton, C. A. Regal, B. Dayan, E. Ostby, K. J. Vahala, and H. J. Kimble, “Efficient routing of single photons by one atom and a microtoroidal cavity,” Phys. Rev. Lett. 102, 083601 (2009).
[CrossRef]

Reichel, J.

Y. Colombe, T. Steinmetz, G. Dubois, F. Linke, D. Hunger, and J. Reichel, “Strong atom–field coupling for Bose–Einstein condensates in an optical cavity on a chip,” Nature 450, 272–276 (2007).
[CrossRef]

Rempe, G.

S. Nußmann, M. Hijlkema, B. Weber, F. Rohde, G. Rempe, and A. Kuhn, “Submicron positioning of single atoms in a microcavity,” Phys. Rev. Lett. 95, 173602 (2005).
[CrossRef]

Rohde, F.

S. Nußmann, M. Hijlkema, B. Weber, F. Rohde, G. Rempe, and A. Kuhn, “Submicron positioning of single atoms in a microcavity,” Phys. Rev. Lett. 95, 173602 (2005).
[CrossRef]

Sanaka, K.

P. van Loock, T. D. Ladd, K. Sanaka, F. Yamaguchi, K. Nemoto, W. J. Munro, and Y. Yamamoto, “Hybrid quantum repeater using bright coherent light,” Phys. Rev. Lett. 96240501 (2006).
[CrossRef]

Sasaki, M.

M. Takeoka and M. Sasaki, “Conditional generation of an arbitrary superposition of coherent states,” Phys. Rev. A 75, 064302 (1997).
[CrossRef]

Sauer, J. A.

J. A. Sauer, K. M. Fortier, M. S. Chang, C. D. Hamley, and M. S. Chapman, “Cavity QED with optically transported atoms,” Phys. Rev. A 69, 051804(R) (2004).
[CrossRef]

Schmidt-Kaler, F.

A. B. Mundt, A. Kreuter, C. Becher, D. Leibfried, J. Eschner, F. Schmidt-Kaler, and R. Blatt, “Coupling a single atomic quantum bit to a high finesse optical cavity,” Phys. Rev. Lett. 89, 103001 (2002).
[CrossRef]

Schumacher, B.

C. H. Bennett, H. J. Bernstein, S. Popescu, and B. Schumacher, “Concentrating partial entanglement by local operations,” Phys. Rev. A 53, 2046–2052 (1996).
[CrossRef]

C. H. Bennett, G. Brassard, S. Popescu, B. Schumacher, J. A. Smolin, and W. K. Wootters, “Purification of noisy entanglement and faithful teleportation via noisy channels,” Phys. Rev. Lett. 76, 722–725 (1996).
[CrossRef]

Sheng, Y. B.

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, 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]

Shi, B. S.

B. S. Shi, Y. K. Jiang, and G. C. Guo, “Optimal entanglement purification via entanglement swapping,” Phys. Rev. A 62, 054301 (2000).
[CrossRef]

Simon, C.

A. Auffèves-Garnier, C. Simon, J. M. Gérard, and J. P. Poizat, “Giant optical nonlinearity induced by a single two-level system interacting with a cavity in the Purcell regime,” Phys. Rev. A 75, 053823 (2007).
[CrossRef]

Smolin, J. A.

C. H. Bennett, G. Brassard, S. Popescu, B. Schumacher, J. A. Smolin, and W. K. Wootters, “Purification of noisy entanglement and faithful teleportation via noisy channels,” Phys. Rev. Lett. 76, 722–725 (1996).
[CrossRef]

Spiller, T. P.

S. G. R. Louis, K. Nemoto, W. J. Munro, and T. P. Spiller, “The efficiencies of generating cluster states with weak nonlinearities,” New J. Phys. 9, 193–212 (2007).
[CrossRef]

Steinmetz, T.

Y. Colombe, T. Steinmetz, G. Dubois, F. Linke, D. Hunger, and J. Reichel, “Strong atom–field coupling for Bose–Einstein condensates in an optical cavity on a chip,” Nature 450, 272–276 (2007).
[CrossRef]

Stoler, D.

B. Yurke and D. Stoler, “Generating quantum mechanical superpositions of macroscopically distinguishable states via amplitude dispersion,” Phys. Rev. Lett. 57, 13–16 (1986).
[CrossRef]

Su, S. L.

Takeoka, M.

M. Takeoka and M. Sasaki, “Conditional generation of an arbitrary superposition of coherent states,” Phys. Rev. A 75, 064302 (1997).
[CrossRef]

Tong, D. M.

X. S. Liu, G. L. Long, D. M. Tong, and F. Li, “General scheme for superdense coding between multiparties,” Phys. Rev. A 65, 022304 (2002).
[CrossRef]

Vahala, K. J.

T. Aoki, A. S. Parkins, D. J. Alton, C. A. Regal, B. Dayan, E. Ostby, K. J. Vahala, and H. J. Kimble, “Efficient routing of single photons by one atom and a microtoroidal cavity,” Phys. Rev. Lett. 102, 083601 (2009).
[CrossRef]

van Loock, P.

T. D. Ladd, P. van Loock, K. Nemoto, W. J. Munro, and Y. Yamamoto, “Hybrid quantum repeater based on dispersive CQED interactions between matter qubits and bright coherent light,” New J. Phys. 8, 184–225 (2006).
[CrossRef]

P. van Loock, T. D. Ladd, K. Sanaka, F. Yamaguchi, K. Nemoto, W. J. Munro, and Y. Yamamoto, “Hybrid quantum repeater using bright coherent light,” Phys. Rev. Lett. 96240501 (2006).
[CrossRef]

Vedral, V.

S. Bose, V. Vedral, and P. L. Knight, “Purification via entanglement swapping and conserved entanglement,” Phys. Rev. A 60, 194–197 (1999).
[CrossRef]

Walls, D. F.

D. F. Walls and G. J. Milburn, Quantum Optics (Springer-Verlag, 1994).

Wang, C.

C. Cao, C. Wang, L. Y. He, and R. Zhang, “Atomic entanglement purification and concentration using coherent state input–output process in low-Q cavity QED regime,” Opt. Express 21, 4093–4105 (2013).
[CrossRef]

C. Wang, “Efficient entanglement concentration for partially entangled electrons using a quantum-dot and microcavity coupled system,” Phys. Rev. A 86, 012323 (2012).
[CrossRef]

C. Wang, Y. Zhang, and G. S. Jin, “Polarization-entanglement purification and concentration using cross-Kerr nonlinearity,” Quantum Inf. Comput. 11, 988–1002 (2011).

C. Wang, F. G. Deng, Y. S. Li, X. S. Liu, and G. L. Long, “Quantum secure direct communication with high-dimension quantum superdense coding,” Phys. Rev. A 71, 044305 (2005).
[CrossRef]

Wang, H. F.

Weber, B.

S. Nußmann, M. Hijlkema, B. Weber, F. Rohde, G. Rempe, and A. Kuhn, “Submicron positioning of single atoms in a microcavity,” Phys. Rev. Lett. 95, 173602 (2005).
[CrossRef]

Wei, H.

H. Wei, Z. Deng, X. Zhang, and M. Feng, “Transfer and teleportation of quantum states encoded in decoherence-free subspace,” Phys. Rev. A 76, 054304 (2007).
[CrossRef]

Welsch, D. G.

M. Dakna, T. Anhut, T. Opatrny, L. Knoll, and D. G. Welsch, “Generating Schrodinger-cat-like states by means of conditional measurements on a beam splitter,” Phys. Rev. A 55, 3184–3194 (1997).
[CrossRef]

Wiesner, S. J.

C. H. Bennett and S. J. Wiesner, “Communication via one- and two-particle operators on Einstein–Podolsky–Rosen states,” Phys. Rev. Lett. 69, 2881–2884 (1992).
[CrossRef]

Wójcik, A.

A. Grudka and A. Wójcik, “Symmetric scheme for superdense coding between multiparties,” Phys. Rev. A 66, 014301 (2002).
[CrossRef]

Wootters, W. K.

C. H. Bennett, G. Brassard, S. Popescu, B. Schumacher, J. A. Smolin, and W. K. Wootters, “Purification of noisy entanglement and faithful teleportation via noisy channels,” Phys. Rev. Lett. 76, 722–725 (1996).
[CrossRef]

C. H. Bennett, G. Brassard, C. Crepeau, R. Jozsa, A. Peres, and W. K. Wootters, “Teleporting an unknown quantum state via dual classical and Einstein–Podolsky–Rosen channels,” Phys. Rev. Lett. 70, 1895–1899 (1993).
[CrossRef]

Xiao, Y. J.

Z. H. Peng, J. Zou, X. J. Liu, Y. J. Xiao, and L. M. Kuang, “Atomic and photonic entanglement concentration via photonic Faraday rotation,” Phys. Rev. A 86, 034305 (2012).
[CrossRef]

Yamaguchi, F.

P. van Loock, T. D. Ladd, K. Sanaka, F. Yamaguchi, K. Nemoto, W. J. Munro, and Y. Yamamoto, “Hybrid quantum repeater using bright coherent light,” Phys. Rev. Lett. 96240501 (2006).
[CrossRef]

Yamamoto, T.

T. Yamamoto, M. Koashi, and N. Imoto, “Concentration and purification scheme for two partially entangled photon pairs,” Phys. Rev. A 64, 012304 (2001).
[CrossRef]

Yamamoto, Y.

P. van Loock, T. D. Ladd, K. Sanaka, F. Yamaguchi, K. Nemoto, W. J. Munro, and Y. Yamamoto, “Hybrid quantum repeater using bright coherent light,” Phys. Rev. Lett. 96240501 (2006).
[CrossRef]

T. D. Ladd, P. van Loock, K. Nemoto, W. J. Munro, and Y. Yamamoto, “Hybrid quantum repeater based on dispersive CQED interactions between matter qubits and bright coherent light,” New J. Phys. 8, 184–225 (2006).
[CrossRef]

Young, A.

C. Y. Hu, A. Young, J. L. O’Brien, W. J. Munro, and J. G. Rarity, “Giant optical Faraday rotation induced by a single-electron spin in a quantum dot: applications to entangling remote spins via a single photon,” Phys. Rev. B 78, 085307 (2008).
[CrossRef]

Yu, Y. F.

F. Mei, Y. F. Yu, X. L. Feng, Z. M. Zhang, and C. H. Oh, “Quantum entanglement distribution with hybrid parity gate,” Phys. Rev. A 82, 052315 (2010).
[CrossRef]

F. Mei, Y. F. Yu, X. L. Feng, S. L. Zhu, and Z. M. Zhang, “Optical quantum computation with cavities in the intermediate coupling region,” Europhys. Lett. 91, 10001 (2010).
[CrossRef]

Yurke, B.

B. Yurke and D. Stoler, “Generating quantum mechanical superpositions of macroscopically distinguishable states via amplitude dispersion,” Phys. Rev. Lett. 57, 13–16 (1986).
[CrossRef]

Zhan, M. S.

Z. Zhao, J. W. Pan, and M. S. Zhan, “Practical scheme for entanglement concentration,” Phys. Rev. A 64, 014301 (2001).
[CrossRef]

Zhang, R.

Zhang, S.

Zhang, X.

H. Wei, Z. Deng, X. Zhang, and M. Feng, “Transfer and teleportation of quantum states encoded in decoherence-free subspace,” Phys. Rev. A 76, 054304 (2007).
[CrossRef]

Zhang, Y.

C. Wang, Y. Zhang, and G. S. Jin, “Polarization-entanglement purification and concentration using cross-Kerr nonlinearity,” Quantum Inf. Comput. 11, 988–1002 (2011).

Zhang, Z. M.

F. Mei, Y. F. Yu, X. L. Feng, Z. M. Zhang, and C. H. Oh, “Quantum entanglement distribution with hybrid parity gate,” Phys. Rev. A 82, 052315 (2010).
[CrossRef]

F. Mei, Y. F. Yu, X. L. Feng, S. L. Zhu, and Z. M. Zhang, “Optical quantum computation with cavities in the intermediate coupling region,” Europhys. Lett. 91, 10001 (2010).
[CrossRef]

Zhao, S. M.

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]

Zhao, Z.

Z. Zhao, J. W. Pan, and M. S. Zhan, “Practical scheme for entanglement concentration,” Phys. Rev. A 64, 014301 (2001).
[CrossRef]

Zheng, B. Y.

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]

Zhou, H. Y.

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]

Zhou, L.

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]

Zhu, L.

Zhu, S. L.

F. Mei, Y. F. Yu, X. L. Feng, S. L. Zhu, and Z. M. Zhang, “Optical quantum computation with cavities in the intermediate coupling region,” Europhys. Lett. 91, 10001 (2010).
[CrossRef]

Zou, J.

Z. H. Peng, J. Zou, X. J. Liu, Y. J. Xiao, and L. M. Kuang, “Atomic and photonic entanglement concentration via photonic Faraday rotation,” Phys. Rev. A 86, 034305 (2012).
[CrossRef]

Z. H. Peng, J. Zou, X. J. Liu, and L. M. Kuang, “Teleportation of atomic and photonic states in low-Q cavity QED,” Opt. Commun. 285, 5558–5563 (2012).
[CrossRef]

Europhys. Lett. (1)

F. Mei, Y. F. Yu, X. L. Feng, S. L. Zhu, and Z. M. Zhang, “Optical quantum computation with cavities in the intermediate coupling region,” Europhys. Lett. 91, 10001 (2010).
[CrossRef]

J. Opt. Soc. Am. B (1)

J. Phys. B (1)

J. J. Chen, J. H. An, M. Feng, and G. Liu, “Teleportation of an arbitrary multipartite state via photonic Faraday rotation,” J. Phys. B 43, 095505 (2010).

Nature (1)

Y. Colombe, T. Steinmetz, G. Dubois, F. Linke, D. Hunger, and J. Reichel, “Strong atom–field coupling for Bose–Einstein condensates in an optical cavity on a chip,” Nature 450, 272–276 (2007).
[CrossRef]

New J. Phys. (2)

S. G. R. Louis, K. Nemoto, W. J. Munro, and T. P. Spiller, “The efficiencies of generating cluster states with weak nonlinearities,” New J. Phys. 9, 193–212 (2007).
[CrossRef]

T. D. Ladd, P. van Loock, K. Nemoto, W. J. Munro, and Y. Yamamoto, “Hybrid quantum repeater based on dispersive CQED interactions between matter qubits and bright coherent light,” New J. Phys. 8, 184–225 (2006).
[CrossRef]

Opt. Commun. (1)

Z. H. Peng, J. Zou, X. J. Liu, and L. M. Kuang, “Teleportation of atomic and photonic states in low-Q cavity QED,” Opt. Commun. 285, 5558–5563 (2012).
[CrossRef]

Opt. Express (1)

Phys. Rev. A (28)

F. Mei, Y. F. Yu, X. L. Feng, Z. M. Zhang, and C. H. Oh, “Quantum entanglement distribution with hybrid parity gate,” Phys. Rev. A 82, 052315 (2010).
[CrossRef]

Z. H. Peng, J. Zou, X. J. Liu, Y. J. Xiao, and L. M. Kuang, “Atomic and photonic entanglement concentration via photonic Faraday rotation,” Phys. Rev. A 86, 034305 (2012).
[CrossRef]

J. A. Sauer, K. M. Fortier, M. S. Chang, C. D. Hamley, and M. S. Chapman, “Cavity QED with optically transported atoms,” Phys. Rev. A 69, 051804(R) (2004).
[CrossRef]

Q. Chen and M. Feng, “Quantum gating on neutral atoms in low-Q cavities by a single-photon input–output process,” Phys. Rev. A 79, 064304 (2009).
[CrossRef]

H. Wei, Z. Deng, X. Zhang, and M. Feng, “Transfer and teleportation of quantum states encoded in decoherence-free subspace,” Phys. Rev. A 76, 054304 (2007).
[CrossRef]

M. Dakna, T. Anhut, T. Opatrny, L. Knoll, and D. G. Welsch, “Generating Schrodinger-cat-like states by means of conditional measurements on a beam splitter,” Phys. Rev. A 55, 3184–3194 (1997).
[CrossRef]

M. Takeoka and M. Sasaki, “Conditional generation of an arbitrary superposition of coherent states,” Phys. Rev. A 75, 064302 (1997).
[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]

F. G. Deng, “Optimal nonlocal multipartite entanglement concentration based on projection measurements,” Phys. Rev. A 85, 022311 (2012).
[CrossRef]

X. L. Feng, L. C. Kwek, and C. H. Oh, “Electronic entanglement purification scheme enhanced by charge detections,” Phys. Rev. A 71, 064301 (2005).
[CrossRef]

C. D. Ogden, M. Paternostro, and M. S. Kim, “Concentration and purification of entanglement for qubit systems with ancillary cavity fields,” Phys. Rev. A 75, 042325 (2007).
[CrossRef]

C. Wang, “Efficient entanglement concentration for partially entangled electrons using a quantum-dot and microcavity coupled system,” Phys. Rev. A 86, 012323 (2012).
[CrossRef]

A. Auffèves-Garnier, C. Simon, J. M. Gérard, and J. P. Poizat, “Giant optical nonlinearity induced by a single two-level system interacting with a cavity in the Purcell regime,” Phys. Rev. A 75, 053823 (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. A 79, 032303 (2009).
[CrossRef]

X. S. Liu, G. L. Long, D. M. Tong, and F. Li, “General scheme for superdense coding between multiparties,” Phys. Rev. A 65, 022304 (2002).
[CrossRef]

A. Grudka and A. Wójcik, “Symmetric scheme for superdense coding between multiparties,” Phys. Rev. A 66, 014301 (2002).
[CrossRef]

G. L. Long and X. S. Liu, “Theoretically efficient high-capacity quantum-key-distribution scheme,” Phys. Rev. A 65, 032302 (2002).
[CrossRef]

F. G. Deng and G. L. Long, “Controlled order rearrangement encryption for quantum key distribution,” Phys. Rev. A 68, 042315 (2003).
[CrossRef]

M. Hillery, V. Bužek, and A. Berthiaume, “Quantum secret sharing,” Phys. Rev. A 59, 1829–1834 (1999).
[CrossRef]

A. Karlsson, M. Koashi, and N. Imoto, “Quantum entanglement for secret sharing and secret splitting,” Phys. Rev. A 59, 162–168 (1999).
[CrossRef]

F. G. Deng, G. L. Long, and X. S. Liu, “Two-step quantum direct communication protocol using the Einstein–Podolsky–Rosen pair block,” Phys. Rev. A 68, 042317 (2003).
[CrossRef]

C. Wang, F. G. Deng, Y. S. Li, X. S. Liu, and G. L. Long, “Quantum secure direct communication with high-dimension quantum superdense coding,” Phys. Rev. A 71, 044305 (2005).
[CrossRef]

C. H. Bennett, H. J. Bernstein, S. Popescu, and B. Schumacher, “Concentrating partial entanglement by local operations,” Phys. Rev. A 53, 2046–2052 (1996).
[CrossRef]

S. Bose, V. Vedral, and P. L. Knight, “Purification via entanglement swapping and conserved entanglement,” Phys. Rev. A 60, 194–197 (1999).
[CrossRef]

B. S. Shi, Y. K. Jiang, and G. C. Guo, “Optimal entanglement purification via entanglement swapping,” Phys. Rev. A 62, 054301 (2000).
[CrossRef]

T. Yamamoto, M. Koashi, and N. Imoto, “Concentration and purification scheme for two partially entangled photon pairs,” Phys. Rev. A 64, 012304 (2001).
[CrossRef]

Z. Zhao, J. W. Pan, and M. S. Zhan, “Practical scheme for entanglement concentration,” Phys. Rev. A 64, 014301 (2001).
[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]

Phys. Rev. B (1)

C. Y. Hu, A. Young, J. L. O’Brien, W. J. Munro, and J. G. Rarity, “Giant optical Faraday rotation induced by a single-electron spin in a quantum dot: applications to entangling remote spins via a single photon,” Phys. Rev. B 78, 085307 (2008).
[CrossRef]

Phys. Rev. Lett. (12)

B. Yurke and D. Stoler, “Generating quantum mechanical superpositions of macroscopically distinguishable states via amplitude dispersion,” Phys. Rev. Lett. 57, 13–16 (1986).
[CrossRef]

K. Nemoto and W. J. Munro, “Nearly deterministic linear optical controlled-NOT gate,” Phys. Rev. Lett. 93, 250502 (2004).
[CrossRef]

A. K. Ekert, “Quantum cryptography based on Bell’s theorem,” Phys. Rev. Lett. 67, 661–663 (1991).
[CrossRef]

C. H. Bennett, G. Brassard, and N. D. Mermin, “Quantum cryptography without Bell’s theorem,” Phys. Rev. Lett. 68, 557–559 (1992).
[CrossRef]

C. H. Bennett, G. Brassard, C. Crepeau, R. Jozsa, A. Peres, and W. K. Wootters, “Teleporting an unknown quantum state via dual classical and Einstein–Podolsky–Rosen channels,” Phys. Rev. Lett. 70, 1895–1899 (1993).
[CrossRef]

C. H. Bennett and S. J. Wiesner, “Communication via one- and two-particle operators on Einstein–Podolsky–Rosen states,” Phys. Rev. Lett. 69, 2881–2884 (1992).
[CrossRef]

C. H. Bennett, G. Brassard, S. Popescu, B. Schumacher, J. A. Smolin, and W. K. Wootters, “Purification of noisy entanglement and faithful teleportation via noisy channels,” Phys. Rev. Lett. 76, 722–725 (1996).
[CrossRef]

A. B. Mundt, A. Kreuter, C. Becher, D. Leibfried, J. Eschner, F. Schmidt-Kaler, and R. Blatt, “Coupling a single atomic quantum bit to a high finesse optical cavity,” Phys. Rev. Lett. 89, 103001 (2002).
[CrossRef]

T. Aoki, A. S. Parkins, D. J. Alton, C. A. Regal, B. Dayan, E. Ostby, K. J. Vahala, and H. J. Kimble, “Efficient routing of single photons by one atom and a microtoroidal cavity,” Phys. Rev. Lett. 102, 083601 (2009).
[CrossRef]

S. Nußmann, M. Hijlkema, B. Weber, F. Rohde, G. Rempe, and A. Kuhn, “Submicron positioning of single atoms in a microcavity,” Phys. Rev. Lett. 95, 173602 (2005).
[CrossRef]

K. M. Fortier, S. Y. Kim, M. J. Gibbons, P. Ahmadi, and M. S. Chapman, “Deterministic loading of individual atoms to a high-finesse optical cavity,” Phys. Rev. Lett. 98, 233601 (2007).
[CrossRef]

P. van Loock, T. D. Ladd, K. Sanaka, F. Yamaguchi, K. Nemoto, W. J. Munro, and Y. Yamamoto, “Hybrid quantum repeater using bright coherent light,” Phys. Rev. Lett. 96240501 (2006).
[CrossRef]

Quantum Inf. Comput. (1)

C. Wang, Y. Zhang, and G. S. Jin, “Polarization-entanglement purification and concentration using cross-Kerr nonlinearity,” Quantum Inf. Comput. 11, 988–1002 (2011).

Quantum Inf. Process. (2)

W. P. Bastos, W. B. Cardoso, A. T. Avelar, N. G. de Almeida, and B. Baseia, “Controlled teleportation via photonic Faraday rotations in low-Q cavities,” Quantum Inf. Process. 11, 1867–1881 (2012).
[CrossRef]

W. P. Bastos, W. B. Cardoso, A. T. Avelar, and B. Baseia, “A note on entanglement swapping of atomic states through the photonic Faraday rotation,” Quantum Inf. Process. 10, 395–404 (2011).
[CrossRef]

Other (1)

D. F. Walls and G. J. Milburn, Quantum Optics (Springer-Verlag, 1994).

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Figures (4)

Fig. 1.
Fig. 1.

(a) Schematic diagram showing the setup of a coherent-state |α input–output process in a low-Q cavity. (b) |e, |0, and |1 are level structures of the atom. g is the coupling between the atom and the microcavity.

Fig. 2.
Fig. 2.

Schematic diagram showing the setup of the atomic ECP based on a coherent-state input–output process in a low-Q cavity. Atoms a and b are confined in low-Q cavities A and B, respectively. The coherent-state pulse is sent along the circulator into cavity A and a (π/2) phase shifter and then is measured by the homodyne detector.

Fig. 3.
Fig. 3.

Total success probability by performing the entanglement concentration process one round (dashed line) and five rounds (solid line), respectively. It is obvious that the total success probability is relatively high and approaches the limit when we repeat the concentration process five rounds.

Fig. 4.
Fig. 4.

Fidelity of the projective state in the first concentration round based on the homodyne measurement. Here we choose n=3, η=(2/3), and use the complementary error function to calculate the probability of misidentifying. m(0.01,0.99) is the coefficient of the initial less-entangled state.

Equations (13)

Equations on this page are rendered with MathJax. Learn more.

{da^dt=[i(ωcωp)+κ2]a^igσ^κa^indσ^dt=[i(ω0ωp)+γ2]σ^+igσ^za^+γσ^zb^ina^out(t)=a^in(t)+κa^(t),
{r1(ωp)=[i(ωcωp)κ2][i(ω0ωp)+γ2]+g2[i(ωcωp)+κ2][i(ω0ωp)+γ2]+g2r0(ωp)=i(ωcωp)κ2i(ωcωp)+κ2,
12(|0+|1)|αin12(|0|αeiθ0out+|1|αeiθ1out).
|φab=m|0a|0b+n|1a|1b,
|φab|φ=(m|0a|0b+n|1a|1b)(m|α+n|α)m2|0a|0b|αeiπ2+n2|1a|1b|αeiπ2+mn(|0a|0b|αeiπ2+|1a|1b|αeiπ2).
|χ=(m2|0a|0b+n2|1a|1b)|α+mn(|0a|0b+|1a|1b)|α.
|ϕab=12(|0a|0b+|1a|1b)
|φab=1m4+n4(m2|0a|0b+n2|1a|1b),
|φab|φ=1m4+n4(m2|0a|0b+n2|1a|1b)1m4+n4(m2|α+n2|α)1m4+n4(m4|0a|0b+n4|1a|1b)|α+m2n2m4+n4(|0a|0b+|1a|1b)|α.
|φab=1m8+n8(m4|0a|0b+n4|1a|1b),
Pi=2|mn|2i(|m|4i4+|n|4i4)2.
P=P1+(1P1)P2+···+j=1N1(1Pj)PN.
F=1Psxm+dxabϕ|ρ(x)|ϕab,

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