论文标题

基于Tsallis相对操作员熵量化量子相干性

Quantifying quantum coherence based on the Tsallis relative operator entropy

论文作者

Guo, Meng-Li, Jin, Zhi-Xiang, Li, Bo, Hu, Bin, Fei, Shao-Ming

论文摘要

连贯性是量子物理学的基本要素,也是量子信息处理的关键资源。量子相干性的量化非常重要。我们基于Tsallis相对操作员熵提出了一个相干量化器家族。 Shannon不平等及其在Hilbert太空运营商中由Furuta得出的[线性代数Appl。 381(2004)219]根据Tsallis相对操作员熵的参数扩展。这些量化符被证明可以满足所有标准标准的连贯度衡量标准,并包括一些现有的连贯措施作为特殊情况。给出了详细的示例,以显示量子相干度量之间的关系。

Coherence is a fundamental ingredient in quantum physics and a key resource in quantum information processing. The quantification of quantum coherence is of great importance. We present a family of coherence quantifiers based on the Tsallis relative operator entropy. Shannon inequality and its reverse one in Hilbert space operators derived by Furuta [Linear Algebra Appl. 381 (2004) 219] are extended in terms of the parameter of the Tsallis relative operator entropy. These quantifiers are shown to satisfy all the standard criteria for a well-defined measure of coherence and include some existing coherence measures as special cases. Detailed examples are given to show the relations among the measures of quantum coherence.

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