N=4的自旋链上量子信息在磁场中的传输研究

J4 ›› 2018, Vol. 35 ›› Issue (4): 439-443.

N=4的自旋链上量子信息在磁场中的传输研究

王清亮,任恒峰

忻州师范学院物理系，山西忻州，034000

收稿日期:2017-06-05 修回日期:2017-10-18 出版日期:2018-07-28 发布日期:2018-07-12
通讯作者: 王清亮（1979-），山东莘县人，硕士，副教授，主要从事量子信息方面的研究。 E-mail:angql19790511@163.com
基金资助:
Supported by Xinzhou Teachers University Foundation(忻州师院院级基金，JGZD201602)

Research on quantum information transfer in spin chain with N=4 in low-intensity magnetic field

WANG Qingliang, REN Hengfeng

Department of Physics, Xinzhou Teachers University, Xinzhou 034000, China

Received:2017-06-05 Revised:2017-10-18 Published:2018-07-28 Online:2018-07-12

摘要/Abstract

摘要：

基于量子信息在自旋链上的传输理论，研究了两种磁场情形下N=4的自旋链上单比特量子信息传输受到的影响。对置于磁场中的自旋链，将体系的哈密度算符进行对角化，进而考虑磁场中信息传输的动力学行为。结果表明空间均匀、时间恒定的弱磁场不会对该模型中量子信息的传输产生任何影响；各格点处大小逐差为B、方向关于链中心对称的弱磁场对量子信息的传输有至关重要的作用。尤其是对于保真度为1的完美传输，磁场参量B很大程度上决定了传输得以实现的条件。

关键词: 量子信息；信息传输；动力学演化；自旋链

Abstract:

Based on the theory of quantum information transfer in spin chain, the effects of two types of magnetic field are investigated for a single qubit information transfer in spin chain with N=4 in . For the spin chain in some magnetic fields, Hamiltonian of the system is diagonalized, and the dynamic behavior of information transfer is considered in magnetic field. Results show that the low-intensity magnetic field which is uniform in space and constant in time has nothing to do with quantum information transfer. The low-intensity magnetic field with the difference value B between the nearest-neighbor lattices and the symmetrical direction to center of the spin chain plays a key role for quantum information transfer. Particularly, for the perfect transfer with fidelity value of 1, the transferring condition is dependent on the magnetic parameter B to a certain extent.

Key words: quantum information; information transfer; dynamical evolution; spin chain

中图分类号:

O413

王清亮任恒峰. N=4的自旋链上量子信息在磁场中的传输研究[J]. J4, 2018, 35(4): 439-443.

WANG Qingliang, REN Hengfeng. Research on quantum information transfer in spin chain with N=4 in low-intensity magnetic field[J]. J4, 2018, 35(4): 439-443.

参考文献

[1] Bose S. Quantum communication through an unmodulated spin chain[J]. Physical Review Letters, 2003, 91(20): 207901. [2] Christandl M, Datta N, Ekert A, et al. Perfect state transfer in quantum spin networks[J]. Physical Review Letters, 2004, 92(18): 187902. [3] Benjamin S C, Bose S. Quantum computing with an always-on Heisenberg interaction[J]. Physical Review Letters, 2003, 90(24): 247901. [4] Christandl M, Datta N, et al. Perfect transfer of arbitrary states in quantum spin networks[J]. Physical Review A, 2005, 71(3): 032312. [5] Ronke R, Spiller T P, DAmic I. Effect of perturbations on information transfer in spin chains[J]. Physical Review A, 2011, 83(1): 012325. [6] Ajoy A, Cappellaro P. Mixed-state quantum transport in correlated spin networks[J]. Physical Review A, 2012, 85(4): 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(22): 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(3): 614-624. [9] Rafiee M, Lupo C, Mancini S. Noise to lubricate qubit transfer in a spin network[J]. Physical Review A, 2013, 88(3): 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(1): 013843. [11] Ren Hengfeng, Wang Qingliang, Hou Shengxia, et al. Quantum information transfer of multiple states in spin chain[J]. Chinese Journal of Quantum Electronics(量子电子学报), 2012, 29(5): 572-576(in Chinese). [12] 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). [13] 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). [14] Ji Yinghua, Huang Jianhua, Liu Yongmei. 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). [15] 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).