基于最大和非最大纠缠信道一类三量子比特W态的远程制备方案

J4 ›› 2012, Vol. 29 ›› Issue (3): 330-338.

基于最大和非最大纠缠信道一类三量子比特W态的远程制备方案

王栋, 叶柳

安徽大学物理与材料科学学院, 安徽合肥 230039

收稿日期:2011-11-10 修回日期:2012-01-19 出版日期:2012-05-28 发布日期:2012-05-22
通讯作者: 王栋（1981-），安徽潜山人，博士，讲师，主要研究方向为量子信息与量子计算。 E-mail:dwang@ahu.edu.cn

Schemes for remotely preparing a class of three-qubit W states based on bipartite maximally and non-maximally entangled quantum channels

WANG Dong，YE Liu

School of Physics & Material Science, Anhui University, Hefei 230039, China

Received:2011-11-10 Revised:2012-01-19 Published:2012-05-28 Online:2012-05-22
Supported by:
Project supported by the National Natural Science Foundation of China (11074002), the Specialized Research Fund for Doctoral Program of Higher Education (20103401110003), the fund of the Education Department of Anhui Province for Outstanding Youth(2012SQRL023), the Open Fund of Key Lab Adv Energy Mat Chem (Nankai Univ) (KLAEMC-OP201201), and the Doctor Scientific ResearchFund of Anhui University (33190058)

摘要/Abstract

摘要：

基于最大纠缠信道和非最大纠缠信道，提出了两个一类三量子比特W态的远程制备方案。在制备过程中，需要实施三量子比特的投影测量和一些幺正操作。方案的成功几率和经典信息量消耗被计算。结果显示，两个方案都能以一定几率高保真度地实现。此外，讨论了方案的特性以及进行了可行性分析。发现，当被制备态属于一些特殊态时成功几率被大大提高；方案也是切合目前的实验技术，具有可行性。

关键词: 量子光学, 远程态制备, 纠缠, W态, 经典信息消耗

Abstract:

Two schemes are put forward to remotely implement the preparation of a class of three-qubit W states, which employ maximally entangled states and non-maximally entangled states as the quantum channels, respectively. In the course of the preparations, some local quantum operations including three-qubit projective measurements and unitary transformations are required. We canonically work out the success probability and classical information cost. The result shows that both schemes can be faithfully achieved in a probabilistic manner. Furthermore, we have some discussions on the properties of the presented schemes and evaluate their experimental feasibility. It is found that, the success probability can be doubled if the prepared states belong to some special ensembles, and our schemes can be well implemented with the current technologies.

Key words: quantum optics, remote state preparation, entanglement, W state, classical information cost

中图分类号:

O431.2

王栋叶柳. 基于最大和非最大纠缠信道一类三量子比特W态的远程制备方案[J]. J4, 2012, 29(3): 330-338.

WANG Dong，YE Liu. Schemes for remotely preparing a class of three-qubit W states based on bipartite maximally and non-maximally entangled quantum channels[J]. J4, 2012, 29(3): 330-338.

参考文献

[1] Ekert A, Quantum cryptography based on Bell’s theorem [J]. Phys. Rev. Lett., 1991, 67(6): 661-663.
[2] Bennett C H, Brassard G, Crepeau 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.
[3] Buzek V, Hillery M, Quantum copying: Beyond the no-cloning theorem [J]. Phys. Rev. A, 1996, 54(3): 1844-1852.
[4] Zhang W H, Dai J L, Cao Z L, Yang M, A class of optimal phase-covariant quantum cloning [J]. Chinese Journal of Quantum Electronics, 2011, 28(5): 583-687.
[5] Hillery M, Buzek V, Berthiaume A, Quantum secret sharing [J]. Phys. Rev. A, 1999, 59(3): 1829-1834.
[6] Lo H K, Classical-communication cost in distributed quantum-information processing: A generalization of quantum communication complexity [J]. Phys. Rev. A, 2000, 62(1): 012313.
[7] Bennett C H, DiVincenzo D P, Shor P W, et al., Remote state preparation [J]. Phys. Rev. Lett., 2001, 87(7): 077902.
[8] Pati A K, Minimum classical bit for remote preparation and measurement of a qubit [J]. Phys. Rev. A, 2000, 63(1): 014302.
[9] Devetak I, Berger T, Low-entanglement remote state preparation [J]. Phys. Rev. Lett., 2001, 87(19): 197901.
[10] Berry D W, Sanders B C, Optimal remote state preparation [J]. Phys. Rev. Lett., 2003, 90(5): 057901.
[11] Leung D W, Shor P W, Oblivious remote state preparation [J]. Phys. Rev. Lett., 2003, 90(12): 127905.
[12] Kurucz Z, Adam P, Janszky J, General criterion for oblivious remote state preparation [J]. Phys. Rev. A, 2006, 73(5): 062301.
[13] Hayashi A, Hashimoto T, Horibe M, Remote state preparation without oblivious conditions [J]. Phys. Rev. A, 2003, 67(5): 052302.
[14] Abeyesinghe A, Hayden P, Generalized remote state preparation: Trading cbits, qubits, and ebits in quantum communication [J]. Phys. Rev. A, 2003, 68(6): 062319.
[15] Ye M Y, Zhang Y S, Guo G C, Faithful remote state preparation using ?nite classical bits and a non-maximally entangled state [J]. Phys. Rev. A, 2004, 69(2): 022310.
[16] Liu J M, Feng X L, Oh C H, Remote preparation of a three-particle state via positive operator-valued measurement [J]. J. Phys. B, 2009, 42: 055508.
[17] Wang D, et al., Remote preparation of a class of three-qubit states [J]. Opt. Commun., 2008, 281(4): 871-875.
[18] Nguyen B A, Kim J, Joint remote state preparation [J]. J. Phys. B, 2008, 41: 095501.
[19] Nguyen B A, Joint remote state preparation via W and W-type states [J]. Opt. Commun., 2010, 283(20): 4113-4117.
[20] Zhan Y B, Hu B L, Ma P C, Joint remote preparation of four-qubit cluster-type states [J]. J. Phys. B, 2011, 44: 095501.
[21] Kurucz Z, Adam P, Kis Z, Janszky J, Continuous variable remote state preparation [J]. Phys. Rev. A, 2005, 72: 052315.
[22] Xiang G Y, Li J, Bo Y, Guo G C, Remote preparation of mixed states via noisy entanglement [J]. Phys. Rev. A, 2005, 72: 012315.
[23] Liu W T, Wu W, Ou B Q, et al., Experimental remote preparation of arbitrary photon polarization states [J]. Phys. Rev. A, 2007, 76: 022308.
[24] Wu W, Liu W T, Chen P X, et al., Deterministic remote preparation of pure and mixed polarization states [J]. Phys. Rev. A, 2010, 81: 042301.
[25] Dur W, Vidal G, Cirac J I, Three qubits can be entangled in two inequivalent ways [J]. Phys. Rev. A, 2000, 62: 062314.
[26] Roos C F, Riebe M, Haffner H, et al., Control and Measurement of Three-Qubit Entangled States [J]. Science, 2004, 304: 1478-1480.
[27] Aharonov Y, Albert D Z, Vaidman L, How the result of a measurement of a component of the spin of a spin-1/2 particle can turn out to be 100 [J]. Phys. Rev. Lett., 1988, 60(14): 1351-1354.
[28] Tian L, Lloyd S, Orlando T P, Projective measurement scheme for solid-state qubits [J]. Phys. Rev. B, 2003, 67(22): 220505(R).
[29] Plantenberg J H, De Groot P C, Harmans C J P M, et al., Demonstration of controlled-NOT quantum gates on a pair of superconducting quantum bits [J]. Nature, 2007, 447: 836-839.