Logarithmic coherence measure related to function f based on the standard convex roof construction

IF 2.3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Physics Letters A Pub Date : 2024-11-28 DOI:10.1016/j.physleta.2024.130106

Hai-Bo Xing , Jia-Xin Li , Jun-Long Zhao

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引用次数: 0

Abstract

In this paper, we introduce a logarithmic coherence measure that is associated with function f, based on the standard convex roof construction. We define the logarithmic coherence for pure states using the logarithmic function and extend this definition to mixed states, terming it the logarithmic coherence measure related to function f. We show that the logarithmic coherence measure related to function f is a proper coherence measure, fulfilling the four conditions that a coherence measure should satisfy. Moreover, we also investigate some interesting properties of the logarithmic coherence measure related to function f, including the subadditivity, superadditivity and the existence of its regularized version. We find that the logarithmic coherence measure related to function f can be either subadditive or superadditive, depending on certain conditions. Finally, we discuss the relationships among different logarithmic coherence measures, as well as their connections with other coherence measures.

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基于标准凸屋顶结构的与函数f相关的对数相干度测量

在本文中，我们介绍了一种基于标准凸屋顶结构的与函数f相关的对数相干测度。我们利用对数函数定义了纯态的对数相干性，并将此定义扩展到混合态，将其称为与函数f相关的对数相干性测度。我们证明了与函数f相关的对数相干性测度是一个适当的相干性测度，满足相干性测度应满足的四个条件。此外，我们还研究了与函数f相关的对数相干测度的一些有趣性质，包括子可加性、超可加性及其正则化版本的存在性。在一定条件下，我们发现函数f的对数相干测度可以是次加性的，也可以是超加性的。最后，我们讨论了不同对数相干测度之间的关系，以及它们与其他相干测度之间的联系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Physics Letters A 物理-物理：综合

CiteScore

5.10

自引率

3.80%

发文量

493

审稿时长

30 days

期刊介绍： Physics Letters A offers an exciting publication outlet for novel and frontier physics. It encourages the submission of new research on: condensed matter physics, theoretical physics, nonlinear science, statistical physics, mathematical and computational physics, general and cross-disciplinary physics (including foundations), atomic, molecular and cluster physics, plasma and fluid physics, optical physics, biological physics and nanoscience. No articles on High Energy and Nuclear Physics are published in Physics Letters A. The journal''s high standard and wide dissemination ensures a broad readership amongst the physics community. Rapid publication times and flexible length restrictions give Physics Letters A the edge over other journals in the field.