论文标题
一般量子测量的相干测量
Coherence measures with respect to general quantum measurements
论文作者
论文摘要
在过去的几年中，已经对相对于正统碱基的量子相干性进行了广泛的研究。最近，Bischof等。 [物理。莱特牧师。 123，110402（2019）]将其概括为一般正运算符值测量（POVM）的一般情况。这种基于POVM的连贯性，包括块连贯性作为特殊情况，在量化量子信息处理中的优势方面具有重要的操作解释。在这项工作中，我们首先建立了一个替代框架，用于量化块相干性并提供多种块相干度量。然后，我们提出了有关POVM测量的几个连贯措施，并证明了$ L_ {1} $ - NORM相关的POVM相干度量的猜想。
Quantum coherence with respect to orthonormal bases has been studied extensively in the past few years. Recently, Bischof, et al. [Phys. Rev. Lett. 123, 110402 (2019)] generalized it to the case of general positive operator-valued measure (POVM) measurements. Such POVM-based coherence, including the block coherence as a special case, have significant operational interpretations in quantifying the advantage of quantum states in quantum information processing. In this work we first establish an alternative framework for quantifying the block coherence and provide several block coherence measures. We then present several coherence measures with respect to POVM measurements, and prove a conjecture on the $l_{1}$-norm related POVM coherence measure.
