用Cluster态实现任意两粒子态的远程态制备方案

J4 ›› 2012, Vol. 29 ›› Issue (5): 566-571.

用Cluster态实现任意两粒子态的远程态制备方案

张彩云¹，安振杰²，杨丽洁²，潘桂侠³

1 安徽理工大学理学院，安徽淮南 232001 2；
2 核工业理化工程研究院，天津 300180；
3 安徽矿业职业技术学院机械工程系，安徽淮北 235000

收稿日期:2011-08-15 修回日期:2012-08-25 出版日期:2012-09-28 发布日期:2012-09-02
通讯作者: 张彩云（1980-），女，安徽肥东人，理学硕士，讲师，主要研究方向为量子信息。 E-mail:zcylh9@163.com
基金资助:
安徽省高等学校优秀青年人才基金项目 (2009QRZ056), 安徽理工大学青年教师研究基金项目（2012QNZ13）, 安徽省安徽理工大学硕博基金(200911176)

Remote preparation of two-qubit state using four-qubit cluster state

Zhang Cai-yun¹，An Zhen-jie²，Yang Li-jie²，Pan Gui-xia³

1 School of Science, Anhui University of Science and Technology, Huainan 232001, China；
2 Research Institute of Physical and Chemical Engineering of Nuclear Industry , Tianjin 300180, China；
3 Department of Mechanical Engineering, Anhui College of Mining and Technology , Huaibei 235000, China

Received:2011-08-15 Revised:2012-08-25 Published:2012-09-28 Online:2012-09-02

摘要/Abstract

摘要：

提出一个用Cluster态作为量子信道远态制备两量子态的方案，并计算了此方案成功的概率和消耗的经典信息。一般地，Bob能成功地制备初态的概率是1/4和消耗的经典信息是1/4经典比特。然而，在六种特殊情形下，消耗一些多余经典信息后，成功的概率能达到1/2甚至1。

关键词: 远态制备, 四量子比特Cluster态, 两量子比特投影测量, 经典通讯, 幺正操作

Abstract:

A scheme is proposed for remotely preparing a two-qubit state by using four-qubit cluster state as the quantum channel. In the scheme, the success probability of preparation and classical communication cost are calculated. In general, Bob can successfully prepare the target state with the probability 1/4 and consume only 1/4 bits classical communication. However, if the state belongs to six special situations, the success probability of preparation can reach 1/2 or even 1 after consuming some extra bits.

Key words: remote state preparation, four-qubit cluster state, two-qubit projective measurement, classical communication, unitary operation

中图分类号:

O469

张彩云，安振杰，杨丽洁，潘桂侠. 用Cluster态实现任意两粒子态的远程态制备方案[J]. J4, 2012, 29(5): 566-571.

Zhang Cai-yun，An Zhen-jie，Yang Li-jie，Pan Gui-xia. Remote preparation of two-qubit state using four-qubit cluster state[J]. J4, 2012, 29(5): 566-571.

参考文献

[1] Bennett C H, Brassard G, Grepeau C, et al. Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels [J]. Phys. Rev. Lett., 1993, 70(13): 1895-1899.
[2] Ikram M, Zhu S Y, Zubairy M S. Quantum teleportation of an entangled state [J]. Phys. Rev. A, 2000, 62: 022307.
[3] Rigolin G. Quantum teleportation of an arbitrary two-qubit state and its relation to multipartite entanglement [J]. Phys. Rev. A, 2005, 71: 032303.
[4] Zheng S B, Guo G C. Scheme for atomic-state teleportation between two bad cavities [J]. Phys. Rev. A, 2006, 73: 032329.
[5] Zhang Z J. Controlled teleportation of an arbitrary n-qubit quantum information using quantum secret sharing of classical message [J]. Phys. Lett. A, 2006, 352: 55-58.
[6] Yan W, Zhang W J. Quantum teleportation of canonical variables [J]. Chinese Journal of Quantum Electronics (量子电子学报), 2008, 25(1): 56-59 (in Chinese).
[7] Yu L Z, Wu T, He J, et al. Probabilistic teleportation of arbitrary two-particle entangled state via cluster state [J]. Chinese Journal of Quantum Electronics (量子电子学报), 2010, 27(2): 167-173 (in Chinese).
[8] Lo H K. Classical-communication cost in distributed quantum-communication complexity [J]. Phys. Rev. A, 2000, 62(1): 012313.
[9] Pati A K. Minimum classical bit for remote preparation and measurement of a qubit [J]. Phys. Rev. A, 2001, 63: 014302.
[10] Devetak I, Berger T. Low-Entanglement Remote State Preparation [J]. Phys. Rev. Lett., 2001,87: 197901.
[11] Zeng B, Zhang P. Remote-state preparation in higher dimension and the parallehzable manifold S n-1 [J]. Phys. Rev. A, 2002, 65: 022316.
[12] Berry D W, Sanders B C. Optimal Remote State Preparation [J]. Phys. Rev. Lett., 2003, 90: 057901.
[13] Leung D W, Shor P W. Oblivious Remote State Preparation [J]. Phys. Rev. Lett., 2003, 90: 127905.
[14] Hayashi A, Hashimoto T, Horibe M. Remote state preparation without oblivious conditions [J]. Phys. Rev. A, 2003, 67: 052302.
[15] Abeyesinghe A, Hayden P. Generalized remote state preparation: Trading cbits, qubits, and ebits in quantum communication [J]. Phys. Rev. A, 2003, 68: 062319.
[16] Ye M Y, Zhang Y S, Guo G C. Faithful remote state preparation using finite classical bits and a nonmaximally entangled state [J]. Phys. Rev. A, 2004, 69: 022310.
[17] Yu Y F, Feng J, Zhan M S. Preparation remotely two instances of quantum state [J]. Phys. Lett. A, 2003, 310: 329.
[18] Dai H Y, Chen P X, Liang L M, et al. Classical communication cost and remote preparation of the four particle GHZ class state [J]. Phys. Lett. A, 2006, 355: 285-288.
[19] Pan G X, Liu Y M, Zhang Z J. Classical Communication and Entanglement Cost in Preparing a Class of Multi-qubit States [J]. Commun. Theor. Phys., 2008, 49: 631-634.
[20] Briegel H J , Raussendorf R. Persistent Entanglement in Arrays of Interacting Particles [J]. Phys. Rev. Lett., 2001, 86: 910-913.
[21] Zhang X L, Gao K L, Feng M. Preparation of cluster states and W states with superconducting quantum-interference-device qubits in cavity QED [J]. Phys. Rev. A, 2006, 74: 024303.
[22] Dong P, Xue Z Y, Yang M, Cao Z L. Generation of cluster states [J]. Phys. Rev. A , 2006, 73: 033818.
[23] Zheng S B. Generation of cluster states in ion-trap systems [J]. Phys. Rev. A, 2006, 73: 065802.
[24] Kiesel N, Schmid C, Weber U, et al. Experimental Analysis of a Four-Qubit Photon Cluster State [J]. Phys. Rev. Lett., 2005, 95: 210502.
[25] Su X L, Tan A, Jia X J, et al. Experimental preparation of Quadripartite Cluster and Greenberger-Horne-Zeilinger Entangled States for Continuous Variables [J]. Phys. Rev. Lett., 2007, 98: 070502.
[26] Tokunaga Y, Kuwashiro S, Yamamoto T, et al. Generation of High-Fidelity Four-Photon Cluster State and Quantum-Domain Demonstration of one-Way Quantum Computing [J]. Phys. Rev. Lett., 2008, 100: 210501.
[27] Deng F G, Li X H, Li C Y, et al. Multiparty quantum-state sharing of an arbitrary two-particle state with Einstein-Podolsky-Rosen pairs [J]. Phys. Rev. A, 2005, 72: 044301. [28] 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 [J]. Eur. Phys. J. D, 2006, 39 :459. [29] Scarani V, Acín A, Schenck E, et al. Nonlocality of cluster states of qubits [J]. Phys. Rev. A, 2005, 71 042325.