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- 2015
任意未知超纠缠混态的同步浓缩与纯化
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Abstract:
摘要 针对处于未知的部分超纠缠混态的两光子4-qubit系统, 提出2个能同时完成超纠缠浓缩与纯化的有效方案. 第1个方案利用附加的部分频率纠缠, 可以修正极化纠缠中的错误, 并提取出在极化与空间模上的最大超纠缠. 第2个方案则借助附加的最大频率纠缠实现确定地纯化和浓缩在极化与空间模上的超纠缠. 2个方案都只基于现有光学器件和交叉克尔非线性作用.
| [1] | <p> Raussendorf R, Briegel H J. A one-way quantum computer[J]. PRL, 2001,86:5 188-5 191. |
| [2] | Bennett C H, Brassard G, Crépeau C, et al. Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels[J]. PRL, 1993, 70:1 895. |
| [3] | Wang C, Deng F G, Li Y S, et al. Quantum secure direct communication with high-dimension quantum superdense coding[J]. PRA, 2005, 71:044 305. |
| [4] | Barbieri M, Cinelli C, Mataloni P, et al. Polarization-momentum hyperentangled states: Realization and characterization[J]. PRA, 2005,72: 052 110. |
| [5] | Simon C, Pan J W. Polarization entanglement purification using spatial entanglement[J]. PRL, 2002,89:257 901. |
| [6] | Pan J W, Gasparonl S, Ursin R, et al. Experimental entanglement purification of arbitrary unknown states[J]. Nature, 2003, 423:417. |
| [7] | Bechmann-Pasquinucci H, Gisin N. Incoherent and coherent eavesdropping in the six-state protocol of quantum cryptography[J]. PRA, 1999,59:4 238. |
| [8] | Minár J, Riedmatten H D, Simon C, et al. Phase-noise measurements in long-fiber interferometers for quantum-repeater applications[J]. PRA, 2008, 77:052 325. |
| [9] | Xu H B, Du K, Qiao C F. Proposal for a new scheme for producing a two-photon, high dimensional hyperentangled state[J]. JMO, 2012, 59:1 265–1 271. |
| [10] | Deng F G. Optimal nonlocal multipartite entanglement concentration based on projection measurements[J]. PRA, 2012, 85:022 311. |
| [11] | Sheng Y B, Deng F G. Deterministic entanglement purification and complete nonlocal Bell-state analysis with hyperentanglement[J]. PRA, 2010,81:032 307. |
| [12] | Bruss D. Optimal eavesdropping in quantum cryptography with six states[J]. PRL, 1998,81:3 018. |
| [13] | Merolla J M, Mazurenko Y, Goedgebuer J P, et al. Single-photon interference in sidebands of phase-modulated light for quantum cryptography[J]. PRL, 1999,82:1 656. |
| [14] | Shapiro J H. Single-photon Kerr nonlinearities do not help quantum computation[J]. PRA, 2006,73:062 305. |
| [15] | Shapiro J H, Razavi M. Continuous-time cross-phase modulation and quantum computation[J]. New Journal of Physics, 2007, 9:16. |
| [16] | Bruss D, Macchiavello C. Optimal eavesdropping in cryptography with three-dimensional quantum states[J]. PRL, 2002,88:127 901. |
| [17] | Bennett CH, Brassard G, Popescu S, et al. Purification of noisy entanglement and faithful teleportation via noisy channels[J]. PRL, 1996,76:722. |
| [18] | Zhao Z, Pan J W, Zhan M S. Practical scheme for entanglement concentration[J]. PRA, 2001,64:014 301. |
| [19] | Ren B C, Du F F, Deng F G. Hyperentanglement concentration for two-photon four-qubit systems with linear optics[J]. PRA, 2013,88:012 302. |
| [20] | Sheng Y B, Deng F G, Long G L. Complete hyperentangled-Bell-state analysis for quantum communication[J]. PRA, 2010,82:032 318. |
| [21] | Lin Q, He B, Bergou J A, et al. Processing multi-photon state through operation on single photon: methods and applications[J]. Phys Rev A, 2009,80:042 311. |
| [22] | Petrosyan D, Kurizki G. Symmetric photon-photon coupling by atoms with Zeeman-split sublevels[J]. PRA, 2002,65:033 833. |
| [23] | Munro W J, Nemoto K, Spiller T P. Weak nonlinearities: a new route to optical quantum computation[J]. New Journal of Physics, 2005,7:137.</p> |
| [24] | Gisin N, Ribordy G, Tittel W, et al. Quantum cryptography[J]. RMP, 2002,74:145. |
| [25] | Kwiat P G. Hyper-entangled states[J]. JMO, 1997, 44:2 173-2 184. |
| [26] | Kwiat P G, Waks E, White A G, et al. Ultrabright source of polarization-entangled photons[J]. PRA, 1999,60:R773. |
| [27] | Walborn S P,Nogueira W A T, Padua S, et al. Optical Bell-state analysis in the coincidence basis[J]. EPL, 2003, 62:161. |
| [28] | Schuck C, Huber G, Kurtsiefer C, et al. Complete deterministic linear optics bell state analysis[J]. PRL, 2006,96:190 501. |
| [29] | Barbieri M, Vallone G, Mataloni P, et al. Complete and deterministic discrimination of polarization Bell states assisted by momentum entanglement[J]. PRA, 2007, 75: 042 317. |
| [30] | Wang T J, Song S Y, Long G L. Quantum repeater based on spatial entanglement of photons and quantum-dot spins in optical microcavities[J]. PRA, 2012, 85: 062 311. |
| [31] | Bennett C H, Bernstein H J, Popescu S, et al. Concentrating partial entanglement by local operations[J]. PRA, 1996, 53: 2 046. |
| [32] | Simon C, Pan J W. Polarization entanglement purification using spatial entanglement[J]. PRL, 2002,89:257 901. |
| [33] | Sheng Y B, Deng F G. One-step deterministic polarization-entanglement purification using spatial entanglement[J]. PRA, 2010,82:044 305. |
| [34] | Sheng Y B, Zhou L, Long G L. Hybrid entanglement purification for quantum repeaters[J]. PRA, 2013,88:022 302. |
| [35] | Ren B C, Deng F G. Hyperentanglement purification and concentration assisted by diamond NV centers inside photonic crystal cavities[J]. LPL, 2013,10:115 201. |
| [36] | Ren B C, Long G L. General hyperentanglement concentration for photon systems assisted by quantum-dot spins inside optical microcavities[J]. Optics Express, 2014,22:6 547-6 561. |
| [37] | Sheng Y B, Deng F G, Zhou H Y. Efficient polarization-entanglement purification based on parametric down-conversion sources with cross-Kerr nonlinearity[J]. PRA, 2008, 77:042 308. |
| [38] | He B, Ren Y H, Bergou J A. Creation of high-quality long-distance entanglement with flexible resources[J]. PRA, 2009,79:052 323. |
| [39] | Nemoto K, Munro W J. Nearly deterministic linear optical controlled-NOT gate[J]. PRL, 2004, 250 502. |
| [40] | Barrett S D, Kok P, Nemoto K, et al. A symmetry analyzer for non-destructive Bell state detection using EIT[J]. PRA, 2005,71:060 302. |
| [41] | Lukin M D, Imamo lu A. Nonlinear Optics and Quantum Entanglement of Ultraslow Single Photons[J]. PRL, 2000,84:1 419. |
