通过六比特最大纠缠态来分裂量子信息

J4 ›› 2012, Vol. 29 ›› Issue (5): 577-583.

通过六比特最大纠缠态来分裂量子信息

涂修丽¹，张婷¹，王先明¹，徐晶²

1 新疆师范大学物理与电子工程学院, 新疆乌鲁木齐 830054；
2 昌吉学院物理系，新疆昌吉 831100

收稿日期:2011-12-14 修回日期:2012-07-06 出版日期:2012-09-28 发布日期:2012-09-02
通讯作者: 王先明（1958-），湖南衡山人，教授，主要研究量子光学、量子信息。 E-mail:wxj_wjq@sina.com
作者简介:涂修丽（1988-），新疆乌鲁木齐人，硕士，主要研究量子通讯。E-mail:421121797@qq.com
基金资助:
National Natural Science Foundation of China (1086407) , Xinjiang Normal University Graduate Student Innovation Fund Projects, China(20121215), the Key Discipline of Theoretical Physics Graduate Student Innovation Fund of Xinjiang, China(LLWLY201111)

Splitting quantum information via six-qubit maximally entangled state

TU Xiu-li¹, ZHANG Ting¹, WANG Xian-ming¹, XU Jing²

1 College of physics and Electronic Engineering，Xinjiang Normal University, Urumchi 830054, China;
2 Department of Physics, Changji University，Changji 831100, China

Received:2011-12-14 Revised:2012-07-06 Published:2012-09-28 Online:2012-09-02

摘要/Abstract

摘要：

量子信息分裂或量子态共享是经典秘密共享方案在量子方案中的概括。在量子信息分裂中，一种量子态的形式被划分并分发给多个接收者。提出一个通过使用六粒子的最大纠缠态作为量子通道来分裂两量子比特混态的方案。首先Alice执行两个bell基测量并且宣布测量结果，同时分配Charlie(Bob)来重建未知的初态。如果控制者Bob(Charlie)同意帮助Charlie(Bob)获得初态，他们就在各自的量子比特上执行单粒子测量。在发送者对粒子执行Bell基测量以及合作者对粒子执行单粒子测量之后，通过运用适当的幺正算符，接受者可以重建发送者信息的初始状态。

关键词: 量子信息, 分裂量子信息, 六-粒子最大纠缠态, Bell基测量, 纠缠交换, 么正变换

Abstract:

Quantum information splitting (QIS) or quantum state sharing is the generalization of classical secret sharing schemes to the quantum scenario. In QIS, a piece of quantum information (in the form of a quantum state) is divided and distributed to a number of receivers.Propose a schemes of splitting two-qubit states by using six -particle maximally entangled state as the quantum channel. Alice first performs two Bell-basis measurement and announces her measurement outcome and assigns Charlie (Bob) to reconstruct the original unknown state. If the controllers Bob (Charlie) agree to help Charlie (Bob) obtain the original state, they should perform single-particle measurements on their respective qubits. After the sender performs Bell-basis measurements on her particles, and the cooperators operate single-particle measurements on their particles, the state receiver can reconstruct the original state of the sender by applying the appropriate unitary operation.

Key words: quantum information, splitting quantum information, six -particle maximally entangled state, Bell-basis measurement, entanglement swapping, unitary operation

中图分类号:

O431

涂修丽，张婷，王先明，徐晶. 通过六比特最大纠缠态来分裂量子信息[J]. J4, 2012, 29(5): 577-583.

TU Xiu-li, ZHANG Ting, WANG Xian-ming, XU Jing. Splitting quantum information via six-qubit maximally entangled state[J]. J4, 2012, 29(5): 577-583.

参考文献

[1] Bennett C H, Brassard G, Crepeau C, Jozsa R, Peres A and Wootters W K. Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels [J]. Phys. Rev. Lett.,1993,70(13) : 1895-1899.
[2] Zha Xinwei and Ren Kuanfang. General relation between the transformation operator and an invariant under stochastic local operations and classical communication in quantum teleportation [J]. Phys. Rev. A, 2008,77 : 014306-014309.
[3] Zha Xinwei, Song Haiyang and Ren Kuanfang. The relation between local unitary transformation invariant and perfect quantum teleportation [J]. IJQI,2010, 8(8):1251-1256 .
[4] Bennett C H and Wiesner S J. Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states [J]. Phys. Rev. Lett. ,1992, 69 : 2881-2884.
[5] Hillery M, Buˇzek V and Berthiaume A. Quantum secret sharing [J]. Phys. Rev. A,1999, 59 : 1829-1834.
[6] Zhang Dengyu, Tang Shiqing, Wang Xinwen, Xie Lijun, Zhan Xiaogui and Chen Yinhua. A simple scheme for realizing four-photon GHZ state based on cavity quantum electrodynamics [J].Chinese Journal of Quantum Electronics (量子电子学报)，2012, 29(2):193-195 (in Chinese).
[7] Tang Shiqing, Zhang Dengyu, Gao Feng, et al. Scheme for implementing a three-qubit Toffoli gate resonant interaction in bimode cavity QED system [J]. Chinese Journal of Quantum Electronics (量子电子学报), 2009,26(5): 548-554 (in Chinese).
[8] Zhan Xiaogui, Zhang Dengyu, Gao Feng, et al. Controlled teleportation of an arbitrary two-qubit superposition state [J]. Chinese Journal of Quantum Electronics (量子电子学报)，2009,26(1): 44-49 (in Chinese).
[9] Scherpelz P, Resch R, Berryrieser D and Lynn T W. Entanglement-secured single-qubit quantum secret sharing [J]. Phys. Rev. A, 2011,84: 032303.
[10] Gottesman D. Theory of quantum secret sharing [J]. Phys. Rev. A,2000,61:042311.
[11] Cleve R, Gottesman D, Lo H K. How to share a quantum secret [J]. Phys. Rev. Lett., 1999,83 : 648.
[12] Lance A M, et al. Tripartite quantum state sharing [J]. Phys. Rev. Lett.,2004,92 : 177903.
[13] Zhang Zhanjun, Li Yong, Man Zhongxiao,et al.Multiparty quantum secret sharing [J]. Phys.Rev.A,2005,71: 044301.
[14] Singh S K and Srikanth R. Generalized quantum secret sharing [J]. Phys. Rev. A,2005,71: 012328.
[15] Deng Fuguo, Li Xihan, Li Chunyan Zhou Ping and Zhou Hongyu.Multiparty quantum-state sharing of an arbitrary two-particle state with Einstein-Podolsky-Rosen pairs [J]. Phys. Rev. A,2005,72 : 044301.
[16] Gordon G and Rigolin G. Generalized quantum-state sharing [J]. Phys. Rev. A,2006,73: 062316.
[17] Zheng Shibiao. Splitting quantum information via W states [J]. Phys.Rev.A,2006,74:05430 3.
[18] Muralidharan S and Panigrahi P K. Quantum-information splitting using multipartite cluster states [J]. Phys. Rev. A,2008,78:032321.
[19] Zhan Youbang, Zhang Qunyong, Wang Yuwu. Schemes for splitting quantum information with four-particle genuine entangled states [J]. Commun. Theor. Phys. ,2010,53 : 847.
[20] Wang Xinwen, Xia Lixin, Wang Zhiyong, Deng Yuzhang.Hierarchical quantum-information splitting [J]. Optics Communications,2010,283:1196.
[21] Borras A, Plastino A R, Batle J, Zander C, Casas M and Plastino A J. Multiqubit systems: highly entangled states and entanglement distribution [J]. Phys.A:Math.Theor.2007,40.
[22] Zha Xinwei, Song Haiyang. Two schemes of remote preparation of a four-particle entangled W state via a six-qubit maximally entangled state [J]. Phys.Scr. 2011,84:015010.
[23] Zha Xinwei, Song Haiyang. Remote preparation of a two-particle state using a four-qubit cluster state [J]. Optics Communications,2011,284: 1472-1474.
[24] Zha Xinwei, Song Haiyang. Optimal schemes of teleportation one-particle state by a three-particle general W state*[J]. Commun.Theor.Phys.,2010,53(5):852-854(Beijing,China).
[25] Zha Xinwei, Song Haiyang. Teleportation and controlled teleportation with maximally four-qubit entanglement quantum states [J]. Modern Physics Letters B,2010,Vol.24, No19 :2069-2076.