Abstract
Quantum entanglement distribution is an essential part of quantum communication and computation protocols. Here, linear optic elements are employed for the distribution of quantum entanglement over a long distance. Polarization beam splitters and wave plates are used to realize an error-free protocol for broadcasting quantum entanglement in optical quantum communication. This protocol can determine the maximum distance of quantum communication without decoherence. Error detection and error correction are performed in the proposed scheme. In other words, if there is a bit flip along the quantum channel, the end stations (Alice and Bob) can detect this state change and obtain the correct state (entangled photon) at another port. Existing general error detection protocols are based on the quantum controlled-NOT (CNOT) or similar quantum logic operations, which are very difficult to implement experimentally. Here we present a feasible scheme for the implementation of entanglement distribution based on a linear optics element that does not need a quantum CNOT gate.
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References
Bennett C H, Brassard G. Quantum cryptography: Public key distribution and coin tossing. In: Proceedings of the IEEE International Conference on Computers, Systems and Signal Processing, Bangalore, India, IEEE, 1984. 175–179
Ekert A K. Quantum cryptography based on Bell’s theorem. Phys Rev Lett, 1991, 67: 661–663
Bennett C H, Brassard G, Mermin N D. Quantum cryptography without Bell’s theorem. Phys Rev Lett, 1992, 68: 557–559
Bennett C H. Quantum cryptography using any two nonorthogonal states. Phys Rev Lett, 1992, 68: 3121–3124
Bennett C H, Wiesner S J. Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states. Phys Rev Lett, 1992, 69: 2881–2884
Goldenberg L, Vaidman L. Quantum cryptography based on orthogonal states. Phys Rev Lett, 1995, 75: 1239–1243
Huttner B, Imoto N, Gisin N, et al. Quantum cryptography with coherent states. Phys Rev A, 1995, 51: 1863–1869
Koashi M, Imoto N. Quantum cryptography based on split transmission of one-bit information in two steps. Phys Rev Lett, 1997, 79: 2383–2386
Bruß D. Optimal eavesdropping in quantum cryptography with six states. Phys Rev Lett, 1998, 81: 3018–3021
Hwang W Y, Koh I G, Han Y D. Quantum cryptography without public announcement of bases. Phys Lett A, 1998, 244: 489–494
Cabello A. Quantum key distribution in the Holevo limit. Phys Rev Lett, 2000, 85: 5635–5638
Cabello A. Quantum key distribution without alternative measurements. Phys Rev A, 2000, 61: 052312–052315
Long G L, Liu X S. Theoretically efficient high-capacity quantum-key-distribution scheme. Phys Rev A, 2002, 65: 032302–032304
Shi B S, Jiang Y K, Guo G C. Quantum key distribution using different-frequency photons. Appl Phys B: Laser Opt, 2000, 70: 415–417
Xue P, Li C F, Guo G C. Conditional efficient multiuser quantum cryptography network. Phys Rev A, 2002, 65: 022317–022323
Deng F G, Liu X S, Ma Y J, et al. A theoretical scheme for multi-user quantum key distribution with N Einstein-Podolsky-Rosen pairs on a passive optical network. Chin Phys Lett, 2002, 19: 893–896
Phoenix S J D, Barnett S M, Townsend P D, et al. Multi-user quantum cryptography on optical networks. J Mod Opt, 1995, 42: 1155–1163.
Lo H K, Chan H F, Ardehali M. Efficient quantum key distribution scheme and proof of its unconditional security. J Cryptology, 2005, 18: 133–165
Wang W Y, Wang C, Zhang G Y, et al. Arbitrarily long distance quantum communication using inspection and power insertion. Chinese Sci Bull, 2009, 54: 158–162
Lu Z X, Yu L, Li K, et al. Reverse reconciliation for continuous variable quantum key distribution. Sci China-Phys Mech Astron, 2010, 53: 100–105
Beige A, Englert B G, Kurtsiefer C, et al. Secure communication with a publicly known key. Acta Phys Pol A, 2002, 101: 357–368
Deng F G, Long G L. Secure direct communication with a quantum one-time pad. Phys Rev A, 2004, 69: 052319–052322
Wang C, Deng F G, Li Y S, et al. Quantum secure direct communication with high-dimension quantum superdense coding. Phys Rev A, 2005, 71: 044305–044308
Juan Q S, Yan W Q, Ming M L, et al. Quantum secure direct communication over the collective amplitude damping channel. Sci China Ser G-Phys Mech Astron, 2009, 52: 1208–1212
Gu B, Pei S X, Song B, et al. Deterministic secure quantum communication over a collective-noise channel. Sci China Ser G-Phys Mech Astron, 2009, 52: 1913–1918
Li C Z. Real applications of quantum communications in China. Chinese Sci Bull, 2009, 54: 2976–2977
Elliott C. Building the quantum network. New J Phys, 2002, 4: 46.1–46.12
Xu F X, Chen W, Wang S, et al. Field experiment on a robust hierarchical metropolitan quantum cryptography network. Chinese Sci Bull, 2009, 54: 2991–2997
Tittel W, Brendel J, Zbinden H, et al. Quantum cryptography using entangled photons in energy-time bell states. Phys Rev Lett, 2000, 84: 4737–4740
Yupapin P P. Generalized quantum key distribution via micro ring resonator for mobile telephone networks. Optik-Int J Light Electron Optics, 2010, 121: 422–425
Ekert A K. Quantum cryptography based on bell’s theorem. Phys Rev Lett, 1991, 67: 661–663
Mattle K, Weinfurter H, Kwiat P G, et al. Dense coding in experimental quantum communication. Phys Rev Lett, 1996, 76: 4656–4659
Adhikari S, Majumdar A S, Roy S, et al. Teleportation via maximally and non-maximally entangled mixed states. QIC, 2010, 10: 0398–0419
Brassard G. Quantum communication complexity (a survey). arXiv: quant-ph/0101005, 2001
Buhrman H, Dam W V, Høyer P, et al. Multiparty quantum communication complexity. Phys Rev A, 1999, 60: 2737–2741
Jennewein T, Simon C, Weihs G, et al. Quantum cryptography with entangledphotons. Phys Rev Lett, 2000, 84: 4729–4732
Bennett C H, Brassard G, Crepeau C, et al. Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. Phys Rev Lett, 1993, 70: 1895–1899
Naik D S, Peterson C G, White A G, et al. Entangled state quantum cryptography: Eavesdropping on the ekert protocol. Phys RevLett, 2000, 84: 4733–4736
Brukner C, Zukowski M, Zeilinger A. Quantum communication complexity protocol with two entangledqutrits. Phys Rev Lett, 2002, 89: 197901–197904
Waks E, Zeevi A, Yamamoto Y. Security of quantum key distribution with entangled photons against individual attacks. Phys Rev A, 2002. 65: 52310–52325
Gisin N, Ribordy G, Tittel W, et al. Quantum cryptography. Rev Mod Phys, 2002, 74: 145–195
Walton Z D, Abouraddy A F, Sergienko A V, et al. Decoherence-free subspaces in quantum key distribution. Phys Rev Lett, 2003, 91: 087901–087904
Yamamoto T, Shimamura J, Zdemir K, et al. Faithful qubit distribution assisted by one additional qubit against collective noise. Phys Rev Lett, 2005, 95: 040503–040506
Li X H, Deng F U, Zhou H U. Faithful qubit transmission against collective noise without ancillary qubits. App Phys Lett, 2007, 91: 144101–144103
Sheng Y B, Deng F G. Efficient quantum entanglement distribution over an arbitrary collective-noise channel. Phys Rev A, 2010, 81: 042332–042336
Bennett C H, Brassard G, Popescu S, et al. Purification of noisy entanglement, and faithful teleportation via noisy channels. Phys Rev Lett, 1996, 76: 722–725
Pan J W, Simon C, Brukner C, et al. Feasible entanglement purification for quantum communication. Nature, 2001, 410: 1067–1070
Sheng Y B, Deng F G, Zhou H Y. Efficient polarization-entanglement purification based on parametric down conversion sources with cross-Kerr nonlinearity. Phys Rev A, 2008, 77: 042308–042315
Sheng Y B, Deng F G. Deterministic entanglement purification and complete nonlocal Bell-state analysis with hyperentanglement. Phys Rev A, 2010, 81: 032307–032313
Zukowski M, Zeilinger A, Horne M A, et al. Event ready detectors: Bell experiment via entanglement swapping. Phys Rev Lett, 1993, 71: 4287–4290
Kwiat P G, Mattle K, Weinfurter H, et al. New high-intensity source of polarization-entangled photon pairs. Phys Rev Lett, 1995, 75: 4337–4341
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Salemian, S., Mohammadnejad, S. An error-free protocol for quantum entanglement distribution in long-distance quantum communication. Chin. Sci. Bull. 56, 618–625 (2011). https://doi.org/10.1007/s11434-010-4336-4
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DOI: https://doi.org/10.1007/s11434-010-4336-4