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arXiv 1004.4110quant-ph
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计算量子信道之间的距离:Fano表示的完备性

Computing the distance between quantum channels: Usefulness of the Fano representation

Giuliano Benenti, Giuliano Strini

摘要:

钻石范数测量两个量子信道之间的距离。从操作的角度来看,这个规范衡量了我们如何通过将它们应用于任意大维度的输入状态来区分两个通道。本文基于量子态的Fano表示和量子操作,利用Monte-Carlo算法,可以方便地以物理透明的方式计算钻石模.对几个单量子比特量子信道的计算结果表明了该算法的有效性。

英文摘要:

The diamond norm measures the distance between two quantum channels. From an operational vewpoint, this norm measures how well we can distinguish between two channels by applying them to input states of arbitrarily large dimensions. In this paper, we show that the diamond norm can be conveniently and in a physically transparent way computed by means of a Monte-Carlo algorithm based on the Fano representation of quantum states and quantum operations. The effectiveness of this algorithm is illustrated for several single-qubit quantum channels.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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