带有三体相互作用的XXZ自旋链模型的隐形传态

郗玉兴; 单传家; 黄燕霞

doi:10.7498/aps.63.110305

摘要

本文对基于海森堡XXZ自旋链模型的隐形传态的平均保真度进行了详细计算和分析. 通过比较不带三体相互作用、仅带一种三体相互作用和同时带两种三体相互作用的各种海森堡铁磁质和反铁磁质XXZ模型在外磁场正向和反向时的保真度与外磁场和温度的关系，找到了一些理想模型，用这些模型进行隐形传态时需要的外界磁场相对较弱、温度相对较高，这个结论为实验上用海森堡XXZ模型进行隐形传态提供了很好的理论依据.

关键词:

In this paper, we study carefully the quantum teleportation by means of a channel of a three-qubit Heisenberg XXZ ring, and calculate the fidelity of quantum teleportation. Comparing the four XXZ models: one without three-site interaction, one with XZX +YZY type three-site interaction, one with XZY-YZX type three-site interaction, one with both the two kinds of the three-site interaction, we find some ideal models by which the teleportation only needs a weakest magnetic field and a highest temperature to work successfully. The result could provide a theoretical basis for later experiments.

Keywords:

作者及机构信息

1.
湖北师范学院物理与电子科学学院, 黄石 435002

基金项目: 国家自然科学基金重大研究计划（批准号：2012CB922100）、湖北省自然科学基金（批准号：2011CDC010）和湖北省高等学校科研基金（批准号：D20092204）资助的课题.

Authors and contacts

1.
College of Physics and Electronic Science, Hubei Normal University, Huangshi 435002, China

Funds: Project supported by the Major Research Plan of the National Natural Science Foundation of China(Grant No. 2012CB922100), the Natural Science Foundation of Hubei Province, China(Grant No.2011CDC010), and the Scientific Research Foundation of the Higher Education Institutions of Hubei Province, China (Grant No. D20092204).

参考文献

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[4]	Zheng Y Z, Dai L Y, Guo G C 2003 Aata Phys. Sin. 52 2678 (in Chinese) [郑亦庄, 戴玲玉, 郭光灿 2003 物理学报 52 2678]
[5]	Li Y L, Feng J 2007 Aata Phys. Sin. 56 1888 (in Chinese) [李艳玲, 冯健 2007 物理学报 56 1888]
[6]	Zha X WZhang C M 2008 Aata Phys. Sin. 57 1339 (in Chinese) [查新未, 张淳民 2008 物理学报 57 1339]
[7]	Zhang G F 2007 Phys. Rev. A 75 034304
[8]	Yeo Y, Liu T Q, Lu Y E, Yang Q Z 2005 J. Phys. A:Math. Gen. 38 3235
[9]	Cheng L Y, Shao X Q, Zhang S, Yeon K H 2010 Chin. Phys. B 19 090311
[10]	Wang H, Wu G X 2013 Chin. Phys. B 22 050512
[11]	Wang Y H, Xia Y J 2009 Aata Phys. Sin. 58 7479 (in Chinese) [王彦辉, 夏云杰 2009 物理学报 58 7479]
[12]	Wang Q, Liao J Q, Zeng H S 2010 Chin. Phys. B 19 100311
[13]	Zheng R, Liu B G 2012 Chin. Phys. B 21 116401
[14]	Loss D, Divineenzo D P 1998 Phys. Rev. A 57 120
[15]	Lidar D A, Bacon D, Whaley K B 1999 Phys. Rev. Lett. 82 4556
[16]	Sorensen A, Molmer K 1999 Phys. Rev. Lett 83 2274
[17]	Vrijen R, Yablonovitch E, Wang K, Jiang H W, Balandin A, Roychowdhury V, Mor T, DivincenZo D 2000 Phys. Rev. A 62 012306
[18]	Kane B E 1998 Nature 393 133
[19]	Li C X, Wang C Z, Guo G C 2006 Opt. Commun. 260 741
[20]	Yeo Y 2003 Phys. Rev. A 68 022316
[21]	Xie L J, Zhang D Y, Tang S Q, Zhan X G, Gao F 2009 Chin. Phys. B 18 3203
[22]	Roger M, Hetherington J H, Delrieu J M 1983 Rev. Mod. Phys. 55 1
[23]	Cheng W W, Shan C J, Huang Y X, Liu T K, Li H 2010 Physica E 43 235
[24]	Wootters W K, Zurek W H 1982 Nature 29 9802

施引文献

[1]	Liao J Q, Kuang L M 2006 Chin. Phys. 15 2246
[2]	Nielsen M A, Chuang I L (translated by Zheng D Z, ZHAO Q C)2004 Quantum Computation and Quantum Information (Beijing:Tsinghua University Press) pp171-241 (in Chinese) [Nielsen M A, Chuang I L著(郑大钟, 赵千川译) 2004 量子计算和量子信息(二)北京: (清华大学出版社)第171–241页]
[3]	Song K H, Guo G C 2000 Aata Phys. Sin. 49 0231 (in Chinese) [宋克慧, 郭光灿 2000 物理学报 49 0231]
[4]	Zheng Y Z, Dai L Y, Guo G C 2003 Aata Phys. Sin. 52 2678 (in Chinese) [郑亦庄, 戴玲玉, 郭光灿 2003 物理学报 52 2678]
[5]	Li Y L, Feng J 2007 Aata Phys. Sin. 56 1888 (in Chinese) [李艳玲, 冯健 2007 物理学报 56 1888]
[6]	Zha X WZhang C M 2008 Aata Phys. Sin. 57 1339 (in Chinese) [查新未, 张淳民 2008 物理学报 57 1339]
[7]	Zhang G F 2007 Phys. Rev. A 75 034304
[8]	Yeo Y, Liu T Q, Lu Y E, Yang Q Z 2005 J. Phys. A:Math. Gen. 38 3235
[9]	Cheng L Y, Shao X Q, Zhang S, Yeon K H 2010 Chin. Phys. B 19 090311
[10]	Wang H, Wu G X 2013 Chin. Phys. B 22 050512
[11]	Wang Y H, Xia Y J 2009 Aata Phys. Sin. 58 7479 (in Chinese) [王彦辉, 夏云杰 2009 物理学报 58 7479]
[12]	Wang Q, Liao J Q, Zeng H S 2010 Chin. Phys. B 19 100311
[13]	Zheng R, Liu B G 2012 Chin. Phys. B 21 116401
[14]	Loss D, Divineenzo D P 1998 Phys. Rev. A 57 120
[15]	Lidar D A, Bacon D, Whaley K B 1999 Phys. Rev. Lett. 82 4556
[16]	Sorensen A, Molmer K 1999 Phys. Rev. Lett 83 2274
[17]	Vrijen R, Yablonovitch E, Wang K, Jiang H W, Balandin A, Roychowdhury V, Mor T, DivincenZo D 2000 Phys. Rev. A 62 012306
[18]	Kane B E 1998 Nature 393 133
[19]	Li C X, Wang C Z, Guo G C 2006 Opt. Commun. 260 741
[20]	Yeo Y 2003 Phys. Rev. A 68 022316
[21]	Xie L J, Zhang D Y, Tang S Q, Zhan X G, Gao F 2009 Chin. Phys. B 18 3203
[22]	Roger M, Hetherington J H, Delrieu J M 1983 Rev. Mod. Phys. 55 1
[23]	Cheng W W, Shan C J, Huang Y X, Liu T K, Li H 2010 Physica E 43 235
[24]	Wootters W K, Zurek W H 1982 Nature 29 9802

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