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

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

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.

Keywords: quantum walk irreversibility trapped ions average fidelity decay

Received: 24 September 2011
Revised: 29 November 2011
Accepted manuscript online:

PACS:	03.65.Yz	(Decoherence; open systems; quantum statistical methods)
	42.50.Ex	(Optical implementations of quantum information processing and transfer)
	05.40.Fb	(Random walks and Levy flights)

Fund: Project supported by the National Natural Science Foundation of China(Grant Nos.10974225,10944005,and 11004029)

Corresponding Authors: Feng Mang, E-mail:mangfeng@wipm.ac.cn
E-mail: mangfeng@wipm.ac.cn

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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 2012 Chin. Phys. B 21 040304

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

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