Irreversibility of a quantum walk induced by controllable decoherence employing random unitary operations

doi:10.1088/1674-1056/21/4/040304

中国物理B ›› 2012, Vol. 21 ›› Issue (4): 40304-040304.doi: 10.1088/1674-1056/21/4/040304

徐酉阳¹,周飞²,陈亮²,谢艺²,薛鹏⁴,冯芒²

收稿日期:2011-09-24 修回日期:2011-11-29 出版日期:2012-02-29 发布日期:2012-02-29
通讯作者: 冯芒, E-mail:mangfeng@wipm.ac.cn E-mail:mangfeng@wipm.ac.cn

Irreversibility of a quantum walk induced by controllable decoherence employing random unitary operations

Xu You-Yang(徐酉阳)^a), Zhou Fei(周飞)^b), Chen Liang(陈亮)^b) Xie Yi(谢艺)^b)c), Xue Peng(薛鹏)^d), and Feng Mang(冯芒)^b)†

a. Faculty of Science, Kunming University of Science and Technology, Kunming 650093, China;
b. State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China;
c. Graduate School of the Chinese Academy of Sciences, Beijing 100049, China;
d. Department of Physics, Southeast University, Nanjing 211189, China

Received:2011-09-24 Revised:2011-11-29 Online:2012-02-29 Published:2012-02-29
Contact: Feng Mang, E-mail:mangfeng@wipm.ac.cn E-mail:mangfeng@wipm.ac.cn
Supported by:
Project supported by the National Natural Science Foundation of China(Grant Nos.10974225,10944005,and 11004029)

摘要/Abstract

Abstract: Quantum walk is different from random walk in reversibility and interference. Observation of the reduced reversibility in a realistic quantum walk is of scientific interest in understanding the unique quantum behavior. We propose an idea to experimentally investigate the decoherence-induced irreversibility of quantum walks with trapped ions in phase space via the average fidelity decay. By introducing two controllable decoherence sources, i.e., the phase damping channel (i.e., dephasing) and the high temperature amplitude reservoir (i.e., dissipation), in the intervals between the steps of quantum walk, we find that the high temperature amplitude reservoir shows more detrimental effects than the phase damping channel on quantum walks. Our study also shows that the average fidelity decay works better than the position variance for characterizing the transition from quantum walks to random walk. Experimental feasibility to monitor the irreversibility is justified using currently available techniques.

Key words: quantum walk, irreversibility, trapped ions, average fidelity decay

中图分类号: (Decoherence; open systems; quantum statistical methods)

03.65.Yz

42.50.Ex (Optical implementations of quantum information processing and transfer) 05.40.Fb (Random walks and Levy flights)

徐酉阳, 周飞, 陈亮, 谢艺, 薛鹏, 冯芒. [J]. 中国物理B, 2012, 21(4): 40304-040304.

Xu You-Yang(徐酉阳), Zhou Fei(周飞), Chen Liang(陈亮) Xie Yi(谢艺), Xue Peng(薛鹏), and Feng Mang(冯芒) . Irreversibility of a quantum walk induced by controllable decoherence employing random unitary operations[J]. Chin. Phys. B, 2012, 21(4): 40304-040304.

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Irreversibility of a quantum walk induced by controllable decoherence employing random unitary operations

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