Comparison of incoherent operations and measures of coherence
Comparison of incoherent operations and measures of coherence
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DOI：
10.1103/physreva.94.052336
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发表时间：
2016-11-30
影响因子：
2.9
通讯作者：
Gour, Gilad
中科院分区：
文献类型：
--
作者：
Chitambar, Eric;Gour, Gilad
量子相干性的资源理论试图描述存在于给定量子系统中的量子相干性。最近提出了许多不同的方法来研究相干性的资源理论，它们的区别主要在于识别“自由”或“不相干”的操作。在这篇文章中，我们比较了一些这些操作类。特别是，最近推出的类的去相位协变操作进行了分析，我们的特点克劳斯运营商等地图。基于相对Renyi熵引入了一些相干测度，研究了不同操作类下的非相干态变换。特别是，我们表明，非相干施密特秩可以增加任意大的某些非相干生成操作。基于不对称性与基础依赖概念的相干理论之间的区别是明确的，我们进一步发展的资源理论的N不对称性，其中N是所有对角非相干酉群。
A resource theory of quantum coherence attempts to characterize the quantum coherence that exists in a given quantum system. Many different approaches to a resource theory of coherence have recently been proposed, with their differences lying primarily in the identification of "free" or "incoherent" operations. In this article, we compare a number of these operational classes. In particular, the recently introduced class of dephasing-covariant operations is analyzed, and we characterize the Kraus operators of such maps. A number of coherence measures are introduced based on relative Renyi entropies, and we study incoherent state transformations under different operational classes. In particular, we show that the incoherent Schmidt rank can be increased arbitrarily large by certain noncoherence generating operations. The distinction between asymmetry-based versus basis-dependent notions of coherence theory is clarified, and we further develop the resource theory of N asymmetry, where N is the group of all diagonal incoherent unitaries.