双方费米子系统的相纠缠负性

IF 2.9 2区 物理与天体物理 Q2 Physics and Astronomy
Bing Xu, Xiaofei Qi, Jinchuan Hou
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引用次数: 0

摘要

我们讨论了费米子系统中正线性映射的行为,然后提出了相位部分转置和相位纠缠负性。我们证明了每一个混合了局部费米子数奇偶性的费米子态必定具有非消失的非琐相位纠缠负性,这给 Shapourian 和 Ryu 提出的猜想[Phys. Rev. A 99, 022310 (2019)]一个肯定的答案。此外,我们还证明了相纠缠负性是一个纠缠单调性,并建立了一些与相纠缠负性相关的等式和不等式,特别是提供了费米子纠缠负性的一些上界和下界。我们还对 (1+M) 模式的情况进行了更详细的讨论,我们的结果概括了一些已知的发现。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Phase entanglement negativity for bipartite fermionic systems
We discuss the behavior of positive linear maps in fermionic systems and then propose the phase partial transpose and the phase entanglement negativity. We show that every fermionic state which mixes local fermion-number parity must have nonvanishing nontrivial phase entanglement negativity, which gives an affirmative answer to a conjecture proposed by Shapourian and Ryu [Phys. Rev. A 99, 022310 (2019)]. In addition, we prove that the phase entanglement negativity is an entanglement monotone and establish some equalities and inequalities related to the phase entanglement negativity which, particularly, provide some upper bounds and lower bounds of the fermionic entanglement negativity. A more detailed discussion of the (1+M)-mode case is also presented, and our results generalize some known findings.
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来源期刊
Physical Review A
Physical Review A 物理-光学
CiteScore
5.40
自引率
24.10%
发文量
0
审稿时长
2.2 months
期刊介绍: Physical Review A (PRA) publishes important developments in the rapidly evolving areas of atomic, molecular, and optical (AMO) physics, quantum information, and related fundamental concepts. PRA covers atomic, molecular, and optical physics, foundations of quantum mechanics, and quantum information, including: -Fundamental concepts -Quantum information -Atomic and molecular structure and dynamics; high-precision measurement -Atomic and molecular collisions and interactions -Atomic and molecular processes in external fields, including interactions with strong fields and short pulses -Matter waves and collective properties of cold atoms and molecules -Quantum optics, physics of lasers, nonlinear optics, and classical optics
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