[1] 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] Bruss D, Macchiavello C. Optimal eavesdropping in cryptography with three-dimensional quantum states[J]. PRL, 2002,88:127 901.[5] Gisin N, Ribordy G, Tittel W, et al. Quantum cryptography[J]. RMP, 2002,74:145. [6] Kwiat P G. Hyper-entangled states[J]. JMO, 1997, 44:2 173-2 184.[7] Kwiat P G, Waks E, White A G, et al. Ultrabright source of polarization-entangled photons[J]. PRA, 1999,60:R773. [8] Barbieri M, Cinelli C, Mataloni P, et al. Polarization-momentum hyperentangled states: Realization and characterization[J]. PRA, 2005,72: 052 110. [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] Walborn S P,Nogueira W A T, Padua S, et al. Optical Bell-state analysis in the coincidence basis[J]. EPL, 2003, 62:161. [11] Schuck C, Huber G, Kurtsiefer C, et al. Complete deterministic linear optics bell state analysis[J]. PRL, 2006,96:190 501. [12] 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. [13] Simon C, Pan J W. Polarization entanglement purification using spatial entanglement[J]. PRL, 2002,89:257 901.[14] Bennett CH, Brassard G, Popescu S, et al. Purification of noisy entanglement and faithful teleportation via noisy channels[J]. PRL, 1996,76:722. [15] Pan J W, Gasparonl S, Ursin R, et al. Experimental entanglement purification of arbitrary unknown states[J]. Nature, 2003, 423:417. [16] 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.[17] Bennett C H, Bernstein H J, Popescu S, et al. Concentrating partial entanglement by local operations[J]. PRA, 1996, 53: 2 046. [18] Simon C, Pan J W. Polarization entanglement purification using spatial entanglement[J]. PRL, 2002,89:257 901.[19] Sheng Y B, Deng F G. One-step deterministic polarization-entanglement purification using spatial entanglement[J]. PRA, 2010,82:044 305.[20] Sheng Y B, Zhou L, Long G L. Hybrid entanglement purification for quantum repeaters[J]. PRA, 2013,88:022 302.[21] Deng F G. Optimal nonlocal multipartite entanglement concentration based on projection measurements[J]. PRA, 2012, 85:022 311.[22] Zhao Z, Pan J W, Zhan M S. Practical scheme for entanglement concentration[J]. PRA, 2001,64:014 301.[23] 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.[24] 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.[25] 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.[26] Sheng Y B, Deng F G. Deterministic entanglement purification and complete nonlocal Bell-state analysis with hyperentanglement[J]. PRA, 2010,81:032 307.[27] Bruss D. Optimal eavesdropping in quantum cryptography with six states[J]. PRL, 1998,81:3 018.[28] Bechmann-Pasquinucci H, Gisin N. Incoherent and coherent eavesdropping in the six-state protocol of quantum cryptography[J]. PRA, 1999,59:4 238.[29] 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. [30] 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. [31] 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.[32] Sheng Y B, Deng F G, Long G L. Complete hyperentangled-Bell-state analysis for quantum communication[J]. PRA, 2010,82:032 318.[33] He B, Ren Y H, Bergou J A. Creation of high-quality long-distance entanglement with flexible resources[J]. PRA, 2009,79:052 323.[34] Nemoto K, Munro W J. Nearly deterministic linear optical controlled-NOT gate[J]. PRL, 2004, 250 502.[35] 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. [36] 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. [37] Shapiro J H. Single-photon Kerr nonlinearities do not help quantum computation[J]. PRA, 2006,73:062 305.[38] Shapiro J H, Razavi M. Continuous-time cross-phase modulation and quantum computation[J]. New Journal of Physics, 2007, 9:16.[39] Lukin M D, Imamo lu A. Nonlinear Optics and Quantum Entanglement of Ultraslow Single Photons[J]. PRL, 2000,84:1 419. [40] Petrosyan D, Kurizki G. Symmetric photon-photon coupling by atoms with Zeeman-split sublevels[J]. PRA, 2002,65:033 833.[41] 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. |