High-efficiency atomic entanglement concentration for quantum communication network assisted by cavity QED

详细信息    查看全文

• 作者：Guan-Yu Wang (1)
  Tao Li (1)
  Fu-Guo Deng (1) (2)
  
  1. Department of Physics ; Applied Optics Beijing Area Major Laboratory ; Beijing Normal University ; Beijing ; 100875 ; China
  2. State Key Laboratory of Networking and Switching Technology ; Beijing University of Posts and Telecommunications ; Beijing ; 100876 ; China
  
• 关键词：Entanglement concentration ; Quantum communication network ; Cavity quantum electrodynamics ; Two ; atom systems ; Low ; Q cavity
• 刊名：Quantum Information Processing
• 出版年：2015
• 出版时间：April 2015
• 年：2015
• 卷：14
• 期：4
• 页码：1305-1320
• 全文大小：648 KB
• 参考文献：1. Bennett, CH, Brassard, G, Crepeau, C, Jozsa, R, Peres, A, Wootters, WK (1993) Teleporting an unknown quantum state via dual classical and Einstein鈥揚odolsky鈥揜osen channels. Phys. Rev. Lett. 70: pp. 1895-1899 CrossRef
  2. Bennett, CH, Wiesner, SJ (1992) Communication via one- and two-particle operators on Einstein鈥揚odolsky鈥揜osen states. Phys. Rev. Lett. 69: pp. 2881-2884 CrossRef
  3. Liu, XS, Long, GL, Tong, DM, Feng, L (2002) General scheme for superdense coding between multiparties. Phys. Rev. A 65: pp. 022304 CrossRef
  4. Bennett, C.H., Brassard, G.: Quantum cryptography: public key distribution and coin tossing. In: Proceedings of IEEE International Conference on Computers. Systems and Signal Processing, Bangalore, India, pp. 175鈥?79. IEEE, New York (1984)
  5. Ekert, AK (1991) Quantum cryptography based on Bells theorem. Phys. Rev. Lett. 67: pp. 661-663 CrossRef
  6. Bennett, CH, Brassard, G, Mermin, ND (1992) Quantum cryptography without Bells theorem. Phys. Rev. Lett. 68: pp. 557-559 CrossRef
  7. Long, GL, Liu, XS (2002) Theoretically efficient high-capacity quantum-key-distribution scheme. Phys. Rev. A 65: pp. 032302 CrossRef
  8. Deng, FG, Long, GL, Liu, XS (2003) Two-step quantum direct communication protocol using the Einstein鈥揚odolsky鈥揜osen pair block. Phys. Rev. A 68: pp. 042317 CrossRef
  9. Deng, FG, Long, GL (2004) Secure direct communication with a quantum one-time pad. Phys. Rev. A 69: pp. 052319 CrossRef
  10. Bennett, CH, Brassard, G, Popescu, S, Schumacher, B, Smolin, JA, Wootters, WK (1996) Purification of noisy entanglement and faithful teleportation via noisy channels. Phys. Rev. Lett. 76: pp. 722-725 CrossRef
  11. Pan, JW, Simon, C, Zellinger, A (2001) Entanglement purification for quantum communication. Nature 410: pp. 1067-1070 CrossRef
  12. Simon, C, Pan, JW (2002) Polarization entanglement purification using spatial entanglement. Phys. Rev. Lett. 89: pp. 257901 CrossRef
  13. Sheng, YB, Deng, FG (2010) Deterministic entanglement purification and complete nonlocal Bell-state analysis with hyperentanglement. Phys. Rev. A 81: pp. 032307 CrossRef
  14. Sheng, YB, Deng, FG (2010) One-step deterministic polarization entanglement purification using spatial entanglement. Phys. Rev. A 82: pp. 044305 CrossRef
  15. Ren, BC, Du, FF, Deng, FG (2014) Two-step hyperentanglement purification with the quantum-state-joining method. Phys. Rev. A 90: pp. 052309 CrossRef
  16. Bennett, C.H., Bernstein, H.J., Popescu, S., Schumacher, B.: Concentrating partial entanglement by local operations. Phys. Rev. A 53, 2046 (1996)
  17. Bose, S, Vderal, V, Knilight, PL (1999) Purification via entanglement swapping and conserved entanglement. Phys. Rev. A 60: pp. 60 CrossRef
  18. Shi, BS, Jiang, YK, Guo, GC (2000) Optimal entanglement purification via entanglement swapping. Phys. Rev. A 62: pp. 054301 CrossRef
  19. Zhao, Z., Pan, J.W., Zhan, M.S.: Practical scheme for entanglement concentration. Phys. Rev. A 64, 014301 (2001)
  20. Yamamoto, T., Koashi, M., Imoto, N.: Concentration and purification scheme for two partially entangled photon pairs. Phys. Rev. A 64, 012304 (2001)
  21. Sheng, YB, Deng, FG, Zhou, HY (2008) Nonlocal entanglement concentration scheme for partially entangled multipartite systems with nonlinear optics. Phys. Rev. A 77: pp. 062305 CrossRef
  22. Ren, BC, Du, FF, Deng, FG (2013) Hyperentanglement concentration for two-photon four-qubit systems with linear optics. Phys. Rev. A 88: pp. 012302 CrossRef
  23. Sheng, Y.B., Zhou, L., Zhao, S.M., Zheng, B.Y.: Efficient single-photon-assisted entanglement concentration for partially entangled photon pairs. Phys. Rev. A 85, 012307 (2012)
  24. Deng, FG (2012) Optimal nonlocal multipartite entanglement concentration based on projection measurements. Phys. Rev. A 85: pp. 022311 CrossRef
  25. Ren, BC, Long, GL (2014) General hyperentanglement concentration for photon systems assisted by quantum-dot spins inside optical microcavities. Opt. Express 22: pp. 6547-6561 CrossRef
  26. Sheng, YB, Zhou, L, Zhao, SM (2012) Efficient two-step entanglement concentration for arbitrary W states. Phys. Rev. A 85: pp. 042302 CrossRef
  27. Gu, B (2012) Single-photon-assisted entanglement concentration of partially entangled multiphoton W states with linear optics. J. Opt. Soc. Am. B 29: pp. 1685-1689 CrossRef
  28. Wang, HF, Zhang, S, Yeon, KH (2010) Linear optical scheme for entanglement concentration of two partially entangled three photon W states. Eur. Phys. J. D 56: pp. 271-275 CrossRef
  29. Wang, HF, Zhang, S, Yeon, KH (2010) Linear-optics-based entanglement concentration of unknown partially entangled threephoton W states. J. Opt. Soc. Am. B 27: pp. 2159-2164 CrossRef
  30. Xiong, W, Ye, L (2011) Schemes for entanglement concentration of two unknown partially entangled states with cross-Kerr nonlinearity. J. Opt. Soc. Am. B 28: pp. 2030-2037 CrossRef
  31. Sun, LL, Wang, HF, Zhang, S, Yeon, KH (2012) Entanglement concentration of partially entangled threephoton W states with weak cross-Kerr nonlinearity. J. Opt. Soc. Am. B 29: pp. 630-634 CrossRef
  32. Gu, B, Quan, DH, Xiao, SR (2012) Multi-photon entanglement concentration protocol for partially entangled W states with projection measurement. Int. J. Theor. Phys. 51: pp. 2966-2973 CrossRef
  33. Wang, TJ, Long, GL (2013) Entanglement concentration for arbitrary unknown less-entangled three-photon W states with linear optics. J. Opt. Soc. Am. B 30: pp. 1069-1076 CrossRef
  34. Zhou, L (2013) Efficient entanglement concentration for electron-spin W state with the charge detection. Quantum Inf. Process. 12: pp. 2087-2101 CrossRef
  35. Sheng, YB, Zhou, L (2013) Efficient W-state entanglement concentration using quantum-dot and optical microcavities. J. Opt. Soc. Am. B 30: pp. 678-686 CrossRef
  36. Sheng, YB, Zhou, L (2013) Quantum entanglement concentration based on nonlinear optics for quantum communications. Entropy 15: pp. 1776-1820 CrossRef
  37. Xu, TT, Xiong, W, Ye, L (2012) Concentrating arbitrary four-photon less-entangled cluster state by single photons. Mod. Phys. Lett. B 26: pp. 1250214 CrossRef
  38. Si, B, Su, SL, Sun, LL, Cheng, LY, Wang, HF, Zhang, S (2013) Efficient three-step entanglement concentration for an arbitrary four-photon cluster state. Chin. Phys. B 22: pp. 030305 CrossRef
  39. Sheng, YB, Zhou, L, Wang, L, Zhao, SM (2013) Efficient entanglement concentration for quantum dot and optical microcavities systems. Quantum Inf. Process. 12: pp. 1885-1895 CrossRef
  40. Zhao, SY, Liu, J, Zhou, L, Sheng, YB (2013) Two-step entanglement concentration for arbitrary electronic cluster state. Quantum Inf. Process. 12: pp. 3633-3647 CrossRef
  41. Du, F.F., Deng, F.G.: Heralded entanglement concentration for photon systems with linear-optical elements. Sci. China-Phys. Mech. Astron. 58, 040303 (2015)
  42. Yang, M, Zhao, Y, Song, W, Cao, ZL (2005) Entanglement concentration for unknown atomic entangled states via entanglement swapping. Phys. Rev. A 71: pp. 044302 CrossRef
  43. Cao, Z.L., Zhang, L.H., Yang, M.: Concentration for unknown atomic entangled states via cavity decay. Phys. Rev. A 73, 014303 (2006)
  44. Oyden, C.D., Paternostro, M., Kim, M.S.: Concentration and purification of entanglement for qubit systems with ancillary cavity field. Phys. Rev. A 75, 042325 (2007)
  45. Wang, C., Zhang, Y., Jin, G.S.: Entanglement purification and concentration of electron-spin entangled states using quantum-dot spins in optical microcavities. Phys. Rev. A 84, 032307 (2011)
  46. Wang, C.: Efficient entanglement concentration for partially entangled electrons using a quantum-dot and microcavity coupled system. Phys. Rev. A 86, 012323 (2012)
  47. Peng, ZH, Zou, J, Liu, XJ, Xiao, YJ, Kuang, LM (2012) Atomic and photonic entanglement concentration via photonic Faraday rotation. Phys. Rev. A 86: pp. 034305 CrossRef
  48. Cao, C, Wang, C, He, LY, Zhang, R (2013) Atomic entanglement purification and concentration using coherent state input鈥搊utput process in low-Q cavity QED regime. Opt. Express 21: pp. 4093 CrossRef
  49. Li, T, Yang, GJ, Deng, FG (2014) Entanglement distillation for quantum communication network with atomic-ensemble memories. Opt. Express 22: pp. 23897-23911 CrossRef
  50. Walls, DF, Milburn, GJ (1994) Quantum Optics. Springer, Berlin CrossRef
  51. Raimond, JM, Brune, M, Haroche, S (2001) Manipulating quantum entanglement with atoms and photons in a cavity. Rev. Mod. Phys. 73: pp. 565 CrossRef
  52. Osnaghi, S, Bertet, P, Auffeves, A, Maioli, P, Brune, M, Raimond, JM, Haroche, S (2001) Coherent control of an atomic collision in a cavity. Phys. Rev. Lett. 87: pp. 037902 CrossRef
  53. Duan, L.M., Kimble, H.J.: Scalable photonic quantum computation through cavity-assisted interactions. Phys. Rev. Lett. 92, 127902 (2004)
  54. Birnbaum, KM, Boca, A, Miller, R, Boozer, AD, Northup, TE, Kimble, HJ (2005) Photon blockade in an optical cavity with on trapped atom. Nature (London) 436: pp. 87 CrossRef
  55. Cho, J., Lee, H.W.: Generation of atomic atomic cluster states through the cavity input鈥搊utput process. Phys. Rev. Lett. 95, 160501 (2005)
  56. Beugnon, J, Jones, MPA, Dingjan, J, Darqui, B, Messin, G, Browaeys, A, Grangier, P (2006) Quantum interference between two single photons emitted by independently trapped atoms. Nature (London) 440: pp. 779-782 CrossRef
  57. Hijlkema, H, Weber, B, Specht, HP, Webster, SC, Kuhn, A, Gerhard, R (2007) A single-photon server with just one atom. Nat. Phys. 3: pp. 253-255 CrossRef
  58. Wilk, T, Webster, SC, Kuhn, A, Rempe, G (2007) Single-atom single-photon quantum interface. Science 317: pp. 488-490 CrossRef
  59. Hu, CY, Young, A, Obrien, JL, Munro, WJ, Rarity, JG (2008) 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: pp. 085307 CrossRef
  60. Reiserer, A, Ritter, S, Rempe, G (2013) Nondestructive detection of an optical photon. Science 342: pp. 1349 CrossRef
  61. Tiecke, TG, Thompson, JD, Leon, NP, Liu, LR, Vuletic, V, Lukin, MD (2014) Nanophotonic quantum phase switch with a single atom. Nature 508: pp. 241-244 CrossRef
  62. An, JH, Feng, M, Oh, CH (2009) Quantum-information processing with a single photon by an input鈥搊utput process with respect to low-Q cavities. Phys. Rev. A 79: pp. 032303 CrossRef
  63. Wang, TJ, Song, SY, Long, GL (2012) Quantum repeater based on spatial entanglement of photons and quantum-dot spins in optical microcavities. Phys. Rev. A 85: pp. 062311 CrossRef
  64. Dayan, B., Parkins, A.S., Takao, Aoki, Ostby, E.P., Vahala, K.J., Kimble, H.J.: A photon turnstile dynamically regulated by one atom. Science 319, 1062 (2008)
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Physics
  Mathematics
  Engineering, general
  Computer Science, general
  Characterization and Evaluation Materials
  
• 出版者：Springer Netherlands
• ISSN：1573-1332

文摘

Quantum entanglement is the key resource in quantum information processing, especially in quantum communication network. However, affected by the environment noise, the maximally entangled states usually collapse into nonmaximally entangled ones or even mixed states. Here we present two high-efficiency schemes to complete the entanglement concentration of nonlocal two-atom systems. Our first scheme is used to concentrate the nonlocal atomic systems in the partially entangled states with known parameters, and it has the optimal success probability. The second scheme is used to concentrate the entanglement of the nonlocal two-atom systems in the partially entangled states with unknown parameters. Compared with the other schemes for the entanglement concentration of atomic systems, our two protocols are more efficient and practical. They require only an ancillary single photon to judge whether they succeed or not, and they work in a heralded way with detection inefficiency and absence of sophisticated single-photon detectors in practical applications. Moreover, they are insensitive to both the cavity decay and atomic spontaneous emission.