多量子比特系统中基于保真度的纠缠度量的更强一性关系

IF 1.3 4区物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY

International Journal of Theoretical Physics Pub Date : 2024-05-27 DOI:10.1007/s10773-024-05677-w

Zhong-Xi Shen, Kang-Kang Yang, Yu Lu, Zhi-Xi Wang, Shao-Ming Fei

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引用次数: 0

摘要

纠缠的单一性是量子系统的基本属性和固有性质。我们研究了两种基于保真度的纠缠度量--纠缠的布雷斯度量和纠缠的几何度量--的一一性。对于这两种纠缠度量的（\(\α \)th）幂和（\(\(0\le \beta \le \eta , \eta \ge 1\）th）幂，我们提出了更强的一性关系。此外，对于 \(\gamma\)th (\(\gamma <0\))幂的情况，我们给出了这两种纠缠度量的相应上限。我们提供了详细的例子来说明我们新建立的一元关系比以前的一元关系更强。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Stronger Monogamy Relations of Fidelity Based Entanglement Measures in Multiqubit Systems

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Stronger Monogamy Relations of Fidelity Based Entanglement Measures in Multiqubit Systems

Monogamy of entanglement is the fundamental property and inherent nature of quantum systems. We study the monogamy properties of two fidelity based entanglement measures, the Bures measure of entanglement and the geometric measure of entanglement. Stronger monogamy relations are presented for the \(\alpha \)th (\(\alpha \ge 2\)) power and the \(\beta \)th (\(0\le \beta \le \eta , \eta \ge 1\)) power of these two entanglement measures. Moreover, for the case of the \(\gamma \)th (\(\gamma <0\)) power, we give the corresponding upper bounds for the two entanglement measures. Detailed examples are provided to illustrate that our newly established monogamy relations are stronger than the previous ones.

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来源期刊

International Journal of Theoretical Physics 物理-物理：综合

CiteScore

2.50

自引率

21.40%

发文量

258

审稿时长

3.3 months

期刊介绍： International Journal of Theoretical Physics publishes original research and reviews in theoretical physics and neighboring fields. Dedicated to the unification of the latest physics research, this journal seeks to map the direction of future research by original work in traditional physics like general relativity, quantum theory with relativistic quantum field theory,as used in particle physics, and by fresh inquiry into quantum measurement theory, and other similarly fundamental areas, e.g. quantum geometry and quantum logic, etc.