论文标题
广义相干矢量应用于相干变换和量词
Generalized coherence vector applied to coherence transformations and quantifiers
论文作者
论文摘要
任何量子资源理论中的主要问题之一是通过理论的自由操作来表征资源之间的转换。在这项工作中，我们通过引入任意量子状态的广义相干向量来推进量子相干资源理论中的这种表征。广义相干向量是概率向量，可以解释为纯状状态相干向量的凹入屋顶延伸。我们表明，它完全表征了不连贯的概念，并且是最大连贯的。此外，使用此概念和主要化关系，我们通过不连贯的操作获得了一般量子状态转换的必要条件。这些结果概括了文献中给出的纯状态的必要条件，并表明在一般情况下，大型晶格的工具也很有用。最后，我们通过考虑应用于广义相干向量的凹形和对称函数来介绍一个相干量化器家族。我们将该建议与文献中给出的凸屋顶量度和其他量化器进行了比较。
One of the main problems in any quantum resource theory is the characterization of the conversions between resources by means of the free operations of the theory. In this work, we advance on this characterization within the quantum coherence resource theory by introducing the generalized coherence vector of an arbitrary quantum state. The generalized coherence vector is a probability vector that can be interpreted as a concave roof extension of the pure states coherence vector. We show that it completely characterizes the notions of being incoherent, as well as being maximally coherent. Moreover, using this notion and the majorization relation, we obtain a necessary condition for the conversion of general quantum states by means of incoherent operations. These results generalize the necessary conditions of conversions for pure states given in the literature, and show that the tools of the majorization lattice are useful also in the general case. Finally, we introduce a family of coherence quantifiers by considering concave and symmetric functions applied to the generalized coherence vector. We compare this proposal with the convex roof measure of coherence and others quantifiers given in the literature.
