Quantum coherence and quantum correlations
Quantum coherence and quantum correlations
复制标题
DOI：
--
复制
发表时间：
2017-03
期刊：
影响因子：
--
通讯作者：
Ming‐Liang Hu;Xueyuan Hu;Jieci Wang;Yi Peng;Yu-Ran Zhang;H. Fan
中科院分区：
文献类型：
--
作者：
Ming‐Liang Hu;Xueyuan Hu;Jieci Wang;Yi Peng;Yu-Ran Zhang;H. Fan
量子相干性和量子相干性是量子理论的基础，是量子计算和量子信息理论的基石。寻找物理上有意义和数学上严格的量词是量子信息处理界长期关注的问题。到目前为止，已经采取了许多不同的措施。本文回顾了二部和多部系统共享的量子相关的各种概念，单个量子系统的量子相干性的各种度量，以及它们在不同环境下的关系。本文综述了量子相干的研究进展，包括在多体系统中的应用。在量子相关部分，我们重点研究了几何量子不和谐和测量引起的非局域性。所有这些度量都是从资源理论的角度来表述的，并且可以定义为考虑的状态到规定的无资源状态集的最近（伪）距离。本文从量子相干性的角度讨论了量子相干性在不同基集下的互补性、量子相干性与干涉实验路径信息的对偶性、量子相干性在不同操作下的精细化等量子相干性的基本特征，并从量子相干性的角度对量子算法的优越性提出了一些新的看法。此外，我们还回顾了噪声量子通道下的几何量子相关和量子相干的性质。最后，综述了相对论环境下量子相关和量子相干研究的主要进展。
Quantum correlations and quantum coherence are of fundamental significance for the quantum theory, and are also cornerstones for theory of quantum computation and quantum information. Searching physically meaningful and mathematically rigorous quantifiers of them are long-standing concerns of the community of quantum information processing. Many different measures have been introduced up to now. We review in this paper the various notions of quantum correlations shared by bipartite and multipartite systems, the various measures of quantum coherence for a single quantum system, and their relationships in different settings. We try to provide a full review about the progress of quantum coherence, including the applications in many-body systems. For quantum correlations part, we focus on geometric quantum discord and measurement-induced nonlocality. All of these measures are formulated in a resource theoretic point of view, and can be defined as the closest (pseudo) distance of the considered state to the set of prescribed resource-free states. We discuss the interrelations between quantum coherence and quantum correlations established in an operational way, and the fundamental characteristics of quantum coherence such as their complementarity under different basis sets, their duality with path information of an interference experiment, their distillation under different operations, and some new viewpoints of the superiority of the quantum algorithms from the perspective of quantum coherence. Additionally, we review properties of geometric quantum correlations and quantum coherence under noisy quantum channels. Finally, the main progresses for the study of quantum correlations and quantum coherence in the relativistic settings are reviewed.