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

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 irrevers...

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Bibliographic Details
Published in:Chinese physics B 2012-04, Vol.21 (4), p.74-81, Article 040304
Main Author: 徐酉阳 周飞 陈亮 谢艺 薛鹏 冯芒
Format: Article
Language:English
Subjects:
Amplitudes
Channels
Damping
Decomposition
Dissipation
Feasibility
Monitors
Random walk
Reservoirs
不可逆性
可控
操作
消相干
行为科学
诱导
量子
随机游走
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Summary: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.
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/21/4/040304