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Measuring the degree of unitarity for any quantum process

机译：测量任何量子过程的单一性程度

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摘要

Quantum processes can be divided into two categories: unitary and non-unitaryones. For a given quantum process, we can define a \textit{degree of theunitarity (DU)} of this process to be the fidelity between it and its closestunitary one. The DU, as an intrinsic property of a given quantum process, isable to quantify the distance between the process and the group of unitaryones, and is closely related to the noise of this quantum process. We deriveanalytical results of DU for qubit unital channels, and obtain the lower andupper bounds in general. The lower bound is tight for most of quantumprocesses, and is particularly tight when the corresponding DU is sufficientlylarge. The upper bound is found to be an indicator for the tightness of thelower bound. Moreover, we study the distribution of DU in random quantumprocesses with different environments. In particular, The relationship betweenthe DU of any quantum process and the non-markovian behavior of it is alsoaddressed.
机译：量子过程可以分为两类：一元和非一元酮。对于给定的量子过程，我们可以将这个过程的\ textit {统一度（DU）}定义为它与其最接近的单一量子之间的保真度。作为给定量子过程的固有特性，DU可以量化该过程与of单元酮组之间的距离，并且与该量子过程的噪声密切相关。我们推导了DU的量子位单位通道的分析结果，并获得了上下界。对于大多数量子过程，下限是紧密的，当相应的DU足够大时，下限尤其紧密。发现上限是下限的紧密度的指标。此外，我们研究了不同环境下随机量子过程中DU的分布。特别地，还解决了任何量子过程的DU与它的非马尔科夫行为之间的关系。

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    Cui, Jing-Xin; Wang, Z. D.;

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  • 年度 2014
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  • 正文语种 {"code":"en","name":"English","id":9}
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