Quantum key distribution protocol based on any BELL states

Abstract

Abstract: In order to improve the security and efficiency of quantum key distribution protocol, it provides a protocol based on entanglement swapping. The two parties establish the key by performing the Bell state measurement. No other people can get the key without being found. Different from the proposed quantum key distribution protocol, it can realize the any two BELL states by the BELL measurement, and to achieve the purpose of quantum key distribution. It does not need multi-particles entangled state but only EPR pair to realize the protocol. Analysis results show that this protocol not only ensures the security of the quantum key shared information, but also only uses the entanglement states of two photons without unitary operation. And the protocol is efficient.

Key words: quantum optics, quantum communication, quantum key distribution, entanglement swapping, Bell measurement

CLC Number:

O431.2

Liu Lin-yao, Hu Meng-jun, Lv Hong-jun, Xie Guang-jun. Quantum key distribution protocol based on any BELL states[J]. J4, 2013, 30(4): 439-444.

References

[1] Bennett C H, Brassard G, Mermin N D. Quantum Cryptography without Bells Theorem[J]. Physical Review Letter, 1992, 68: 557- 569.
[2] Hillery M, Buzek V, Berthiaume A. Quantum Secret Sharing[J]. Physical Review A, 1999, 59: 1829-1834.
[3] 林青群, 王发强, 米景隆, 等, 基于随机相位编码的确定性量子密钥分配[J]. 物理学报,2007,56: 5796-5801.
[4] 陶原, 潘炜, 罗斌, 等. 基于W态的网络中任意两个用户间量子密钥分配方案[J]. 电子与信息学报, 2008, 30: 2588-2591.
[5] Zhu Aidong, Zhang Shou. Quantum key distribution and controlled quantum direct communication applying product state of qutrit [ J]. Chinese Journal of Quantum Electronics(量子电子学报), 2007,24(3) : 316(in Chinese).
[6] LEE H, HONG C, K IM H, et al. Arbitrated Quantum Signature Scheme With message Recovery [ J]. Physical Review A, 2004,
321: 295-300.
[7] Zhou N R, Zeng G H, Zeng W J, et al. Cross-center quantum identification scheme based on teleportation and entanglement swapping. Optics Communications, 2005, 254: 380—388.
[8] Bostrom K, Felbinger T. Deterministic Secure Direct Communication Using Entanglement[J]. Physical Review Letter, 2002, 89: 187902.
[9] Wang J, Zhang Q, Tang C J. Quantum Secure Direct Communication Based on Order Rearrangement of Single Photons[J]. Physical Review A, 2006,358: 256-258.
[10] Wang J, Zhang Q, Tang C J. Multiparty Controlled Quantum Secure Direct Communication Using Greenberger-Horne-Zeilinger State[J].Optics Communications, 2006, 266: 732- 737.
[11] 龙桂鲁,王川,李岩松,邓富国. 量子安全直接通信[J]. 中国科学,2011,41: 332-342.
[12] Ji Xin, Zhang Shou. Teleportation of the there-particle entangled state by the two EPR pairs [J]. Chinese Journal of Quantum Electronics(量子电子学报), 2006,23(6) : 816(in Chinese).
[13] Bennet C H, Brassard G.. Quantum cryptography: Public-key distribution and tossing[C]// IEEE International Conference on Computers, Systems and Signal Processing, Bangalore, 1984.
[14] Bennett C H. Quantum cryptography using any two nonorthogonal states[J].Physical Review Letters, 1992, 68: 3121-3124.
[15] EKERT A K. Quantum cryptography based on B ell. s theorem [J].Physical Review Letters, 1991, 67: 66663.
[16] BRUB D. Optimal Eavesdropping in Quantum Cryptography with SixStates[J].Physical Review Letters, 1998, 81: 3108-3021.
[17] SONG D. Secure key distribution by swapping quantum entanglement[J].Physical Review A, 2004, 69: 034301.
[18] 张德喜,赵秋宇,李晓宇.利用贝尔测量的高效量子密钥分配协议[J].电子科技大学学报,2006,35:917-923.
[19] GAO G.. Quantum key distribution by comparing Bell states [J].2008, 281: 876-879.
[20] YUAN H, SONG J, HAN L F, et al. Improving the total efficiency of quantum key distribution by comparing Bell states [J]. Optics Communication, 2008, 281: 4803- 4806.
[21] Nanrun Z, Li J W, LI H G, Xiang W Z, Ye L. Quantum deterministic key distribution protocols based on teleportation and
entanglement swapping[J]. Optics Communications, 2011,284: 4836–4842.
[22] Cinelli C, Barbieri M, Martini F D, et al. Realization of hyperentangled two-photon states[J]. International Journal of Laser Physics, 2005,15:124-128.