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Measuring the degree of unitarity for any quantum process

机译:测量任何量子过程的统一度

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We establish a general theory for measuring the degree of unitarity (DU) of any quantum process, in which the DU is defined to be the fidelity between the process and its closest unitary one. The DU, as an intrinsic property of a given quantum process, is able to quantify the distance between the process and the group of unitary ones, being closely related to the noise of this quantum process. We not only derive analytical results of DU for qubit unital channels, but also find the lower and upper bounds in general cases. It is shown that the lower bound is tight for most of quantum processes. Moreover, the relationship between the DU of any quantum process and its non-markovian behavior is also addressed.
机译:我们建立了一种用于测量任何量子过程的统一度(DU)的通用理论,其中DU被定义为该过程与其最接近的单一整数之间的保真度。 DU作为给定量子过程的固有属性,能够量化该过程与the一族之间的距离,与该量子过程的噪声密切相关。我们不仅可以得出量子比特单位通道的DU分析结果,而且可以找到一般情况下的上下限。结果表明,对于大多数量子过程而言,其下限是严格的。此外,还解决了任何量子过程的DU与其非马尔科夫行为之间的关系。

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