弱磁场中N=5的自旋链上量子信息的完美传输

量子电子学报

弱磁场中N=5的自旋链上量子信息的完美传输

王清亮1，任恒峰1*，徐凌霞1

忻州师范学院物理系，山西忻州，034000

出版日期:2019-01-28 发布日期:2019-01-17
通讯作者: wlzhsysj@163.com
基金资助:
Supported by the 13th Five-Year Plan Project of Science and Education of Shanxi Province(山西省教育科学“十三五”规划课题, GH-17062)

Perfect Transfer of Quantum Information in Spin Chain with a Weak Magnetic Field

WANG Qingliang1, REN Hengfeng1*, XU Lingxia1

Department of Physics, Xinzhou Teachers University, Xinzhou034000, China

Published:2019-01-28 Online:2019-01-17

摘要/Abstract

摘要： 实现高保真度量子信息传输是量子信息领域的关键任务之一。基于单比特量子信息在自旋链上的完美传输理论，利用将弱磁场中自旋链体系的哈密顿进行对角化的方法，分别研究两种特定的磁场情形下，量子信息在长度为N=5的自旋链上进行传输时所受到的影响。研究表明：空间均匀分布的恒定弱磁场不会对该模型中量子信息的完美传输产生影响；而对于关于链中心反对称、空间均匀变化的弱磁场而言，完美传输的实现条件由磁场间隔B的大小所决定：外加磁场越强，实现完美传输的时间越短；磁场越弱，所需时间越长。

关键词: 量子信息, 信息传输, 动力学演化, 自旋链

Abstract: One of the critical tasks in quantum information is to realize quantum information transfer with high fidelity. Based on the theory of perfect transfer of single bit quantum information in spin chain, the influences for quantum information transfer of two kinds of magnetic fields in N = 5 spin chain are studied respectively by the method that Hamiltonian of the system is diagonalized. It is shown that the uniform poor magnetic field does not affect the perfect transfer of quantum information, and for the poor magnetic field with antisymmetry about the chain center and with mean variation in space, the condition to realize perfect transfer of quantum information is determined by the magnetic field strength difference, B: the stronger the magnetic field is, the shorter the time to achieve perfect transmission; the weaker the magnetic field is, the longer it takes.

Key words: Quantum information, Information transfer, Dynamical evolution, Spin chain

王清亮1，任恒峰1*，徐凌霞1. 弱磁场中N=5的自旋链上量子信息的完美传输[J]. 量子电子学报.

WANG Qingliang1, REN Hengfeng1*, XU Lingxia1. Perfect Transfer of Quantum Information in Spin Chain with a Weak Magnetic Field[J]. Chinese Journal of Quantum Electronics.

参考文献

[1] Bose S. Quantum Communication through an Unmodulated Spin Chain[J]. Physical Review Letters, 2003, 91: 207901. [2] Christandl M, Datta N, Ekert A,et al. Perfect State Transfer in Quantum Spin Networks[J]. Physical Review Letters, 2004, 92: 187902. [3] Benjamin S C, Bose S. Quantum Computing with an Always-On Heisenberg Interaction[J]. Physical Review Letters, 2003, 90: 247901. [4] Christandl M, Datta N,Tony C, et al. Perfect transfer of arbitrary states in quantum spin networks[J]. Physical Review A, 2005, 71: 032312. [5] Ronke R, Spiller T P,DAmic I. Effect of perturbations on information transfer in spin chains[J]. Physical Review A, 2011, 83: 012325. [6] Ajoy A,Cappellaro P. Mixed-state quantum transport in correlated spin networks[J]. Physical Review A, 2012, 85: 042305. [7] Huang Y-C, Moore J E. Excited-state entanglement and thermal mutual information in random spin chains[J]. Physical Review B, 2014, 90: 220202(R). [8] Chen J-L, Wang Q-L. Perfect Transfer of Entangled States on Spin Chain [J]. International Journal of Theoretical Physics, 2007, 46: 614-624. [9] Rafiee M, Lupo C, Mancini S. Noise to lubricate qubit transfer in a spin network[J]. Physical Review A, 2013, 88: 032325. [10] Cai Yin, Feng J-L, Wang H-L,et al. Quantum-network generation based on four-wave mixing[J]. Physical Review A, 2015, 91: 013843. [11] WANG Qingliang, Ren Hengfeng. Influence of low-intensity magnetic field on quantum information transfer in N=3 spin chain[J]. Chinese Journal of Quantum Electronics（量子电子学报）, 2016, 33(6): 724-728 (in Chinese). [12] Jiang Zhongsheng, Lv Hongjun, Xie Guangjun. Controlled information transmission of Multi-dimensional quantum superdense coding[J]. Chinese Journal of Quantum Electronics(量子电子学报), 2013, 30(4): 450-454(in Chinese). [13] Ji Yinghua, Huang Jianhua, Liu Yong-mei. Achieving no decoherence quantum information transfer by using exchange decay between qubits[J]. Chinese Journal of Quantum Electronics(量子电子学报), 2014, 31(1): 40-46(in Chinese). [14] Fu Yuqi, Chen Hang, Fang Jianxing. Realization of quantum teleportation under control of a third party[J]. Chinese Journal of Quantum Electronics(量子电子学报), 2014, 31(2): 186-193(in Chinese).

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