通过广义 Wigner-Yanase-Dyson 倾斜信息量化相干性

IF 1.5 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Modern Physics Letters A Pub Date : 2024-03-11 DOI:10.1142/s0217732324500111
Y. J. Fan, X. Guo, Z. H. Guo, M. Zhang
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引用次数: 0

摘要

量子相干性是量子力学区别于经典物理学的一个重要特征。本文研究了量子态相对于量子信道的相干性,并引入了广义 Wigner-Yanase-Dyson 偏斜信息的相干性度量。文章详细阐述了该量度的基本性质和操作意义,表明它确实是一个名副其实的量,满足了相干性量度直观上所需的许多理想条件。我们通过一些例子说明了从相干性角度描述信道特征的意义。最后,我们考虑了基于广义维格纳-扬纳塞-戴森偏斜信息的状态平均相干性,它与素数幂维系统中任何完整的互不偏倚基以及所有正交基相关,并证明这两个平均值是等价的,因为它们都可以看作量子态相对于去极化量子信道的相干性。
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Quantifying coherence via the generalized Wigner–Yanase–Dyson skew information

Quantum coherence is an important feature that distinguishes quantum mechanics from classical physics. In this paper, we study the coherence of a quantum state with respect to a quantum channel, and introduce a coherence measure in terms of the generalized Wigner–Yanase–Dyson skew information. The basic properties and operational significance of the measure are expounded in detail, which shows that it is indeed a veritable quantity and satisfies many desirable conditions intuitively required for the coherence measures. We illustrate the significance of characterizing channels from the coherence perspective through some examples. Finally, we consider the average coherence of a state based on the generalized Wigner–Yanase–Dyson skew information with respect to any complete mutually unbiased bases in prime power dimensional systems, as well as with respect to all orthonormal bases, and show that these two averages are equivalent since they both can be seen as the coherence of the quantum state with respect to the depolarizing quantum channel.

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来源期刊
Modern Physics Letters A
Modern Physics Letters A 物理-物理:核物理
CiteScore
3.10
自引率
7.10%
发文量
186
审稿时长
3 months
期刊介绍: This letters journal, launched in 1986, consists of research papers covering current research developments in Gravitation, Cosmology, Astrophysics, Nuclear Physics, Particles and Fields, Accelerator physics, and Quantum Information. A Brief Review section has also been initiated with the purpose of publishing short reports on the latest experimental findings and urgent new theoretical developments.
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