基于W态与Bell态纠缠的QDKD方案

J4 ›› 2015, Vol. 32 ›› Issue (2): 178-185.

基于W态与Bell态纠缠的QDKD方案

颛孙少帅,陈红,蔡晓霞

解放军电子工程学院，安徽合肥 230037

收稿日期:2014-04-21 修回日期:2014-06-10 出版日期:2015-03-28 发布日期:2015-03-17

QDKD Based on W State and Bell State Entanglement

ZHUANSUN Shaoshuai, Chen Hong, Cai Xiaoxia

School of PLA Electronic Engineering Institute, Hefei 230037, China

Received:2014-04-21 Revised:2014-06-10 Published:2015-03-28 Online:2015-03-17

摘要/Abstract

摘要：

为了提高密钥分发效率，利用量子密集编码的原理设计了一种基于W态和Bell态纠缠的量子确定性密钥分发方案(Quantum Deterministic Key Distribution, QDKD)。方案中，消息发送者Alice通过对持有粒子实施幺正操作实现确定性密钥的编码，接收方Bob利用粒子间联合测量获得确定性密钥。除去用于窃听检测的粒子，制备的粒子全部用于消息传输，每发送5个粒子可以实现5bits确定性密钥的分发。最后，利用信息论方法对方案进行安全性分析，结果表明，方案是安全可靠的，任何窃听行为能够被及时发现。

关键词: 幺正操作

Abstract:

In order to improve the efficiency of key distribution, a quantum key distribution protocol based on W state and Bell state entanglement is proposed via quantum dense coding. In the scheme, the sender Alice code the key successfully via local unitary operations, and the receiver Bob obtain the key with jointing measurement, all states can be used to transmit messages except those choose for checking eavesdroppers, 5bits deterministic key are distributed by 5 particles. Security analysis result by using information theory shows that the scheme is secure, any eavesdroppers could be found in time.

Key words: 量子光学, 量子确定性密钥分发, 分发效率, 密集编码, 幺正操作

中图分类号:

O431.2

颛孙少帅陈红蔡晓霞. 基于W态与Bell态纠缠的QDKD方案[J]. J4, 2015, 32(2): 178-185.

ZHUANSUN Shaoshuai, Chen Hong, Cai Xiaoxia. QDKD Based on W State and Bell State Entanglement[J]. J4, 2015, 32(2): 178-185.

参考文献

[1] 范琏. 量子秘密共享理论研究. 国防科学技术大学硕士论文. 2007年.
[2] Tong Xin, Wen Qiaoyan, Zhu Fuchen. Quantum secret sharing based on GHZ state entanglement swaping [J]. Journal of Beijing University of Post and Telecommunications, 2007, 30(1):44-48.
[3] Hillery M, Buzek V, Berthiaume A. Quantum secret sharing [J], Phys Rev A, 1999, 59:1829.
[4] 张天鹏. 量子安全直接通信及QTDMC技术研究. 西安电子科技大学硕士论文. 2009年
[4] Zhang Tianpeng. Reaserch on Quantum Secure Direct Communication and Quantum Time Division Multiuser Communication[D]. Journal of Xidian University, 2009, 27-40.
[5] Liu Linyao, Xie Guangjun, et al. Quantum key distribution protocol based on any Bell states [J]. Chinese Journal of Quantum Electronics（量子电子学报）, 2013, 30(4): 440-444.
[6] Wu Zhangbin, Chen Guang, et al. Improvement of performance distribution of BBM92 quantum key system [J]. Chinese Journal of Quantum Electronics（量子电子学报）, 2009, 26(5): 560-564.
[7] 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.
[8] Tao Yuan, Pan Wei, Luo bin, et al. A scheme for quantum key distribution between any two uses in a network via W state [J]. Journal of Electronics and Information Technology（电子与信息学报），2008, 30, 2588-2591.
[9] Zhou Yuanyuan, Li Xiaoqiang, Zhou Xuejun. BB84-decoy-state quantum key distribution with a heralded signal photon source [J]. Chinese Journal of Quantum Electronics（量子电子学报）, 2010, 27(5): 565-572
[10] Zhao Long, Cao Zhengwen, et al. Multi-signature scheme based on quantum properties [J]. Chinese Journal of Quantum Electronics（量子电子学报）,2012,29(1): 69-73.
[11] Dusek M, Haderka O, Hendrych M, et al. Quantum identification system. Physical Review A,1999,(60):149
[12] 王立军. 量子确定性密钥分发及其信息论分析. 南昌大学硕士论文. 2010.
[12] Wang Lijun. Quantum Deterministic Key Distribution and Its Information-theoretical Analyses[D]. Nanchang University, 2010, 1-60.
[13] Nanrun Zhou, Lijun Wang, Jie Ding, et al. Quantum deterministic key distribution protocols based on the authenticated entanglement channel[J]. Physica Scripta, 2010,81(4):045009.
[14] Nanrun Zhou, Lijun Wang, Jie Ding, et al. Novel quantum deterministic key distribution protocols with entangled states[J]. International Journal of Theoretical Physics, 2010,49(9):2035~2044.
[15] Nanrun Zhou, Lijun Wang, Jie Ding, et al. Quantum deterministic key distribution protocols based on teleportation and entanglement swapping[J]. Journal of Physics B, 2010,59(4):2193~2199.
[16] Nanrun Zhou, Xiawen Xiao, Lijun Wang, et al. Determinant quantum key distribution via entanglement swapping[C]. In Proceedings of International Symposium on Computer Science and Computarional Technology. China: Huangshan, 2009:365~368.
[17] Zhang Zhao, Ma Zhi. Quantum protocol based on W state and Bell state[J]. Journal of Information Engineering University. 2013, 14(3):263-268.
[18] Cabello A. Quantum key distribution in the Holevo Limit [J]. Phys. Rev. Lett.,2000,85(26):5635-5638.