Abstract
We present two deterministic secure quantum communication schemes over a collective-noise. One is used to complete the secure quantum communication against a collective-rotation noise and the other is used against a collective-dephasing noise. The two parties of quantum communication can exploit the correlation of their subsystems to check eavesdropping efficiently. Although the sender should prepare a sequence of three-photon entangled states for accomplishing secure communication against a collective noise, the two parties need only single-photon measurements, rather than Bell-state measurements, which will make our schemes convenient in practical application.
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Bennett C H, Brassadrd G. Quantum cryptography: Publickey distribution and coin tossing. In: Proceedings of IEEE Inter national Conference on Computers, Systems and Signal Processing. Bangalore: IEEE Press, 1984. 175–179
Gisin N, Ribordy G, Tittel W, et al. Quantum cryptography. Rev Mod Phys, 2002, 74: 145–195
Wen H, Han Z F, Zhao Y B, et al. Multiple stochastic paths scheme on partially-trusted relay quantum key distribution network. Sci China Ser F-Inf Sci, 2009, 52(1): 18–22
Wang W Y, Wang C, Zhang G Y, et al. Arbitrarily long distance quantum communication using inspection and power insertion. Chin Sci Bull, 2009, 54(1): 158–162
Zhang L B, Zhong Y Y, Kang L, et al. Detection of infrared photons with a superconductor. Chin Sci Bull, 2009, 54(12): 2150–2153
Chen W, Han Z F, Mo X F, et al. Active phase compensation of quantum key distribution system. Chin Sci Bull, 2008, 53(9): 1310–1314
Li C Y, Li X H, Deng F G, et al. Complete multiple round quantum dense coding with quantum logical network. Chin Sci Bull, 2007, 52(9): 1162–1165
Hillery M, Bužek V, Berthiaume A. Quantum secret sharing. Phys Rev A, 1999, 59: 1829–1834
Karlsson A, Koashi M, Imoto N. Quantum entanglement for secret sharing and secret splitting. Phys Rev A, 1999, 59: 162–168
Xiao L, Long G L, Deng F G, et al. Efficient multiparty quantum-secret-sharing schemes. Phys Rev A, 2004, 69: 052307
Zhang Z J, Li Y, Man Z X. Multiparty quantum secret sharing. Phys Rev A, 2005, 71: 044301
Zhang Z J, Man Z X. Multiparty quantum secret sharing of classical messages based on entanglement swapping. Phys Rev A, 2005, 72: 022303
Deng F G, Li X H, Zhou H Y, et al. Improving the security of multiparty quantum secret sharing against Trojan horse attack. Phys Rev A, 2005, 72: 044302
Yan F L, Gao T. Quantum secret sharing between multiparty and multiparty without entanglement. Phys Rev A, 2005, 72: 012304
Deng F G, Li X H, Li C Y, et al. Multiparty quantumstate sharing of an arbitrary two-particle state with Einstein-Podolsky-Rosen pairs. Phys Rev A, 2005, 72: 044301
Deng F G, Li C Y, Li Y S, et al. Symmetry multipartycontrolled teleportation of an arbitrary two-particle entanglement. Phys Rev A, 2005, 72: 022338
Deng F G, Li X H, Li C Y, et al. Quantum state sharing of an arbitrary two-qubit state with two-photon entanglements and Bell-state measurements. Eur Phys J D, 2006, 39: 459–464
Li X H, Zhou P, Li C Y, et al. Efficient symmetric multiparty quantum state sharing of an arbitrary m-qubit state. J Phys B, 2006, 39: 1975–1983
Wang Z Y, Yuan H, Shi S H, et al. Three-party qutrit-state sharing. Euro Phys J D, 2007, 41: 371–375
Man Z X, Xia Y J, An N B. Quantum state sharing of an arbitrary multiqubit state using nonmaximally entangled GHZ states. Euro Phys J D, 2007, 42: 333–340
Zhang Y Q, Jin X R, Zhang S. Secret sharing of quantum information via entanglement swapping. Chin Phys, 2006, 15: 2252–2255
Bostrom K, Felbinger T. Deterministic secure direct communication using entanglement. Phys Rev Lett, 2002, 89: 187902
Deng F G, Long G L, Liu X S. Two-step quantum direct communication protocol using the Einstein-Podolsky-Rosen pair block. Phys Rev A, 2003, 68: 042317
Deng F G, Long G L. Secure direct communication with a quantum one-time pad. Phys Rev A, 2004, 69: 052319
Deng F G, Li X H, Li C Y, et al. Quantum secure direct communication network with Einstein-Podolsky-Rosen pairs. Phys Lett A, 2006, 359: 359–365
Cai Q Y, Li B W. Deterministic secure communication without using entanglement. Chin Phys Lett, 2004, 21(4): 601–603
Cai Q Y, Li B W. Improving the capacity of the Bostroem-Felbinger protocol. Phys Rev A, 2004, 69: 054301
Wang C, Deng F G, Li Y S, et al. Quantum secret direct communication with high-dimension quantum superdense coding. Phys Rev A, 2005, 71: 044305
Wang C, Deng F G, Long G L. Multi-step quantum secure direct communication using multi-particle Green-Horne-Zeilinger state. Opt Commun, 2005, 253: 15–20
Li X H, Li C Y, Deng F G, et al. Quantum secure direct communication with quantum encryption based on pure entangled states. Chin Phys, 2007, 16: 2149–2153
Li X H, Deng F G, Zhou H Y. Improving the security of secure direct communication based on the secret transmitting order of particles. Phys Rev A, 2006, 74: 054302
Qin S J, Wen Q Y, Meng L M, et al. Quantum secure direct communication over collective amplitude damping channel. Sci China Ser G-Phys Mech Astron, 2009, 52(8): 1208–1212
Beige A, Englert B G, Kurtsiefer C, et al. Secure communication with a publicly known key. Acta Phys Pol A, 2002, 101: 357–368
Yan F L, Zhang X Q. A scheme for secure direct communication using EPR pairs and teleportation. Eur Phys J B, 2004, 41: 75–78
Gao T, Yan F L, Wang Z X. Quantum secure direct communication by EPR pairs and entanglement swapping. Nuovo Cimento Della Societa Italiana Di Fisica B, 2004, 119: 313–318
Gao T, Yan F L, Wang Z X. Deterministic secure direct communication using GHZ states and swapping quantum entanglement. J Phys A, 2005, 38: 5761–5770
Gao T, Yan F L, Wang Z X. Quantum secure conditional direct communication via EPR pairs. Int J Mod Phys C, 2005, 16(8): 1293–1301
Gao T, Yan F L, Wang Z X. Controlled quantum teleportation and secure direct communication. Chin Phys, 2005, 14: 893–897
Man Z X, Zhang Z J, Li Y. Deterministic secure direct communication by using swapping quantum entanglement and local unitary operations. Chin Phys Lett, 2005, 22: 18–21
Zhu A D, Xia Y, Fan Q B, et al. Secure direct communication based on secret transmitting order of particles. Phys Rev A, 2006, 73: 022338
Cao H J, Song H S. Quantum secure direct communication with W state. Chin Phys Lett, 2006, 23: 290–292
Li X H, Deng F G, Li C Y, et al. Deterministic secure quantum communication without maximally entangled states. J Korean Phys Soc, 2006, 49: 1354–1359
Qin S J, Wen Q Y, Meng L M, et al. Quantum secure direct communication over the collective amplitude damping channel. Sci China Ser G-Phys Mech Astron, 2009, 52(8): 1208–1212
Gao F, Guo F Z, Wen Q Y, et al. Revisiting the security of quantum dialogue and bidirectional quantum secure direct communication. Sci China Ser G-Phys Mech Astron, 2008, 51(5): 559–566
Yang Y G, Wen Q Y. Threshold quantum secure direct communication without entanglement Sci China Ser G-Phys Mech Astron, 2008, 51(2): 176–183
Yang Y G, Wen Q Y. Quasi-secure quantum dialogue using single photons. Sci China Ser G-Phys Mech Astron, 2007, 50(5): 558–562
Long G L, Deng F G, Wang C, et al. Quantum secure direct communication and deterministic secure quantum communication. Front Phys China, 2007, 2(3): 251–272
Long G L, Liu X S. Theoretically efficient high-capacity quantum-key-distribution scheme. Phys Rev A, 2002, 65: 032302
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
Li X H, Deng F G, Zhou H Y. Faithful qubit transmission against collective noise without ancillary qubits. Appl Phys Lett, 2007, 91: 144101
Walton Z D, Abouraddy A F, Sergienko A V, et al. Decoherence-free subspaces in quantum key distribution. Phys Rev Lett, 2003, 91: 087901
Boileau J C, Gottesman D, Laflamme R, et al. Robust polarization-based quantum key distribution over a collectivenoise channel. Phys Rev Lett, 2004, 92: 017901
Li X H, Deng F G, Zhou H Y. Efficient quantum key distribution over a collective noise channel. Phys Rev A, 2008, 78: 022321
Li X H, Zhao B K, Sheng Y B, et al. Fault tolerant quantum dense coding with collective noise. arXiv:0904.0056
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Supported by the National Natural Science Foundation of China (Grant No. 10847147) and the Science Foundation of Nanjing University of Information Science & Technology (Grant No. 20080279)
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Gu, B., Pei, S., Song, B. et al. Deterministic secure quantum communication over a collective-noise channel. Sci. China Ser. G-Phys. Mech. Astron. 52, 1913–1918 (2009). https://doi.org/10.1007/s11433-009-0303-y
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DOI: https://doi.org/10.1007/s11433-009-0303-y