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Distribution of non-Markovian intervals for open qubit systems |
| Zheng Yan-Ping(郑艳萍), Tang Ning(唐宁), Wang Guo-You(王国友), and Zeng Hao-Sheng(曾浩生) |
| Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, and Department of Physics, Hunan Normal University, Changsha 410081, China |
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Abstract We study the non-Markovianity of open qubit systems using the measure $\mathscr{N}$ proposed by Breuer, Laine and Piilo [Phys. Rev. Lett. 103 210401 (2009)]. We find that for the three types of quantum noises, amplitude-damping, dephasing and depolarizing noises, there exist some non-Markovian time intervals whose distribution is independent of the selection of the pair of initial states. Therefore, the maximization in the definition of measure $\mathscr{N}$ can be actually removed without influencing the detection of non-Markovianity.
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Received: 20 May 2011
Revised: 29 June 2011
Accepted manuscript online:
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PACS:
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03.65.Ta
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(Foundations of quantum mechanics; measurement theory)
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03.65.Yz
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(Decoherence; open systems; quantum statistical methods)
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42.50.Lc
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(Quantum fluctuations, quantum noise, and quantum jumps)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11075050), the National Key Basic Research
Program of China (Grant No. 2007CB925204), and the Construct Program of the National Key Discipline Ministry of Education
of China. |
Cite this article:
Zheng Yan-Ping(郑艳萍), Tang Ning(唐宁), Wang Guo-You(王国友), and Zeng Hao-Sheng(曾浩生) Distribution of non-Markovian intervals for open qubit systems 2011 Chin. Phys. B 20 110301
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