Impact of the Hawking Effect on the Fully Entangled Fraction of Three-Qubit States in Schwarzschild Spacetime

IF 2.2 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
Guang-Wei Mi, Xiaofen Huang, Shao-Ming Fei, Tinggui Zhang
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Abstract

Wu et al. [J. High Energ. Phys. 2023, 232 (2023)] first found that the fidelity of quantum teleportation with a bipartite entangled resource state, completely determined by the fully entangled fraction (FEF) characterized by the maximal fidelity between the given quantum state and the set of maximally entangled states, can monotonically increase in Schwarzschild spacetime. The Hawking effect on the FEF of quantum states in tripartite systems is investigated. In this study, it is showed that the Hawking effect of a black hole may both decrease and increase the FEF in Schwarzschild spacetime. For an initial X-type state, it is found that the Hawking effect of the black hole has both positive and negative impacts on the FEF of Dirac fields, depending on the selection of initial states. For an initial W-like state, the Hawking effect of the black hole has only a positive impact on the FEF of Dirac fields, independent of the selection of initial states. These results provide an insightful view of quantum teleportation in multipartite systems under the influence of Hawking effects, from the perspective of quantum information and general relativity.

Abstract Image

霍金效应对史瓦西时空中三量子比特态完全纠缠分数的影响
[J]。Energ高。物理学[Phys. 2023, 232(2023)]首次发现具有二部纠缠资源态的量子隐形传态的保真度完全由给定量子态与最大纠缠态集之间的最大保真度表征的完全纠缠分数(FEF)决定,在史瓦西时空中可以单调增加。研究了霍金效应对三元体系中量子态FEF的影响。本研究表明,黑洞的霍金效应可以降低或增加史瓦西时空中的FEF。对于初始x型态,发现黑洞的霍金效应对狄拉克场FEF有正负两方面的影响,这取决于初始态的选择。对于初始类w态,黑洞的霍金效应只对狄拉克场的FEF有正影响,与初始态的选择无关。这些结果从量子信息和广义相对论的角度对霍金效应影响下的多体系统中的量子隐形传态提供了深刻的认识。
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来源期刊
Annalen der Physik
Annalen der Physik 物理-物理:综合
CiteScore
4.50
自引率
8.30%
发文量
202
审稿时长
3 months
期刊介绍: Annalen der Physik (AdP) is one of the world''s most renowned physics journals with an over 225 years'' tradition of excellence. Based on the fame of seminal papers by Einstein, Planck and many others, the journal is now tuned towards today''s most exciting findings including the annual Nobel Lectures. AdP comprises all areas of physics, with particular emphasis on important, significant and highly relevant results. Topics range from fundamental research to forefront applications including dynamic and interdisciplinary fields. The journal covers theory, simulation and experiment, e.g., but not exclusively, in condensed matter, quantum physics, photonics, materials physics, high energy, gravitation and astrophysics. It welcomes Rapid Research Letters, Original Papers, Review and Feature Articles.
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