Quantum coherence versus quantum uncertainty
Quantum coherence versus quantum uncertainty
复制标题
量子相干性与量子不确定性
DOI：
10.1103/physreva.96.022130
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发表时间：
2017-08-25
影响因子：
2.9
通讯作者：
Sun, Yuan
中科院分区：
文献类型：
--
作者：
Luo, Shunlong;Sun, Yuan
测量的概念在量子力学中具有基础性和工具性的意义，而被测量破坏的相干性（退相干）是量子到经典跃迁的核心。自从量子理论诞生以来，这种精神的定性方面就得到了广泛的认可和分析。然而，公理化和定量的调查的一致性吸引了极大的兴趣，只是最近的几个数字的优点的一致性介绍[鲍姆格拉茨，克莱默，和Plenio，物理。113，140401（2014）]。虽然这些资源理论方法具有许多吸引人的和直观的特征，但它们关键地依赖于复杂的、微妙的并且不是唯一定义的不相干操作的各种概念，如已经被严格评估的[Chitambar和Gour，Phys.Rev.Lett. 117，030401（2016）]。在本文中，我们阐述了相干性和量子不确定性是同一个量子衬底的双重观点，并通过识别状态（相对于测量）的相干性和测量（相对于状态）的量子不确定性来解决相干性量化。因此，相干测度可以被设置为与量子不确定性的测度相对应。特别地，我们把平均量子Fisher信息作为量子不确定性的度量，并引入相应的相干性度量，它被证明具有理想的性质。解释量子纯度最大的一致性，和量子不和谐的最小的一致性的影响，说明。
The notion of measurement is of both foundational and instrumental significance in quantum mechanics, and coherence destroyed by measurements (decoherence) lies at the very heart of quantum to classical transition. Qualitative aspects of this spirit have been widely recognized and analyzed ever since the inception of quantum theory. However, axiomatic and quantitative investigations of coherence are attracting great interest only recently with several figures of merit for coherence introduced [Baumgratz, Cramer, and Plenio, Phys. Rev. Lett. 113, 140401 (2014)]. While these resource theoretic approaches have many appealing and intuitive features, they rely crucially on various notions of incoherent operations which are sophisticated, subtle, and not uniquely defined, as have been critically assessed [Chitambar and Gour, Phys. Rev. Lett. 117, 030401 (2016)]. In this paper, we elaborate on the idea that coherence and quantum uncertainty are dual viewpoints of the same quantum substrate, and address coherence quantification by identifying coherence of a state (with respect to a measurement) with quantum uncertainty of a measurement (with respect to a state). Consequently, coherence measures may be set into correspondence with measures of quantum uncertainty. In particular, we take average quantum Fisher information as a measure of quantum uncertainty, and introduce the corresponding measure of coherence, which is demonstrated to exhibit desirable properties. Implications for interpreting quantum purity as maximal coherence, and quantum discord as minimal coherence, are illustrated.