Relativistic motion on Gaussian quantum steering for two-mode localized Gaussian states

doi:10.1088/1674-1056/ac401f

中国物理B ›› 2022, Vol. 31 ›› Issue (5): 50402-050402.doi: 10.1088/1674-1056/ac401f

Relativistic motion on Gaussian quantum steering for two-mode localized Gaussian states

Xiao-Long Gong(龚小龙)¹, Shuo Cao(曹硕)^2,3,†, Yue Fang(方越)^2,‡, and Tong-Hua Liu(刘统华)^1,§

1 School of Physics and Optoelectronic, Yangtze University, Jingzhou 434023, China;
2 Department of Astronomy, Beijing Normal University, Beijing 100875, China;
3 Advanced Institute of Natural Sciences, Beijing Normal University at Zhuhai, Zhuhai 519087, China

收稿日期:2021-08-29 修回日期:2021-11-09 发布日期:2022-04-18
通讯作者: Shuo Cao,E-mail:caoshuo@bnu.edu.cn;Yue Fang,E-mail:fangyue@mail.bnu.edu.cn;Tong-Hua Liu,E-mail:liutongh@yangtzeu.edu.cn E-mail:caoshuo@bnu.edu.cn;fangyue@mail.bnu.edu.cn;liutongh@yangtzeu.edu.cn
基金资助:
Project supported by National Key R&D Program of China (Grant No.2017YFA0402600);the National Natural Science Foundation of China (Grant Nos.11690023,11373014,and 11633001);Beijing Talents Fund of Organization Department of Beijing Municipal Committee of the CPC;the Strategic Priority Research Program of the Chinese Academy of Sciences (Grant No.XDB23000000);and the Interdiscipline Research Funds of Beijing Normal University.

Relativistic motion on Gaussian quantum steering for two-mode localized Gaussian states

Xiao-Long Gong(龚小龙)¹, Shuo Cao(曹硕)^2,3,†, Yue Fang(方越)^2,‡, and Tong-Hua Liu(刘统华)^1,§

1 School of Physics and Optoelectronic, Yangtze University, Jingzhou 434023, China;
2 Department of Astronomy, Beijing Normal University, Beijing 100875, China;
3 Advanced Institute of Natural Sciences, Beijing Normal University at Zhuhai, Zhuhai 519087, China

Received:2021-08-29 Revised:2021-11-09 Published:2022-04-18
Contact: Shuo Cao,E-mail:caoshuo@bnu.edu.cn;Yue Fang,E-mail:fangyue@mail.bnu.edu.cn;Tong-Hua Liu,E-mail:liutongh@yangtzeu.edu.cn E-mail:caoshuo@bnu.edu.cn;fangyue@mail.bnu.edu.cn;liutongh@yangtzeu.edu.cn
About author:2021-12-5
Supported by:
Project supported by National Key R&D Program of China (Grant No.2017YFA0402600);the National Natural Science Foundation of China (Grant Nos.11690023,11373014,and 11633001);Beijing Talents Fund of Organization Department of Beijing Municipal Committee of the CPC;the Strategic Priority Research Program of the Chinese Academy of Sciences (Grant No.XDB23000000);and the Interdiscipline Research Funds of Beijing Normal University.

摘要/Abstract

摘要： Realistic quantum systems always exhibit gravitational and relativistic features. In this paper, we investigate the properties of Gaussian steering and its asymmetry by the localized two-mode Gaussian quantum states, instead of the traditional single-mode approximation method in the relativistic setting. We find that the one-side Gaussian quantum steering will monotonically decrease with increasing observers of acceleration. Meanwhile, our results also reveal the interesting behavior of the Gaussian steering asymmetry, which increases for a specific range of accelerated parameter and then gradually approaches to a finite value. Such finding is well consistent and explained by the well-known Unruh effect, which could significantly destroy the one-side Gaussian quantum steering. Finally, our results could also be applied to the dynamical studies of Gaussian steering between the Earth and satellites, since the effects of acceleration are equal to the effects of gravity according to the equivalence principle.

关键词: relativistic quantum information, quantum nonlocality, Unruh effect

Abstract: Realistic quantum systems always exhibit gravitational and relativistic features. In this paper, we investigate the properties of Gaussian steering and its asymmetry by the localized two-mode Gaussian quantum states, instead of the traditional single-mode approximation method in the relativistic setting. We find that the one-side Gaussian quantum steering will monotonically decrease with increasing observers of acceleration. Meanwhile, our results also reveal the interesting behavior of the Gaussian steering asymmetry, which increases for a specific range of accelerated parameter and then gradually approaches to a finite value. Such finding is well consistent and explained by the well-known Unruh effect, which could significantly destroy the one-side Gaussian quantum steering. Finally, our results could also be applied to the dynamical studies of Gaussian steering between the Earth and satellites, since the effects of acceleration are equal to the effects of gravity according to the equivalence principle.

Key words: relativistic quantum information, quantum nonlocality, Unruh effect

中图分类号: (Quantum fields in curved spacetime)

04.62.+v

03.65.Ud (Entanglement and quantum nonlocality) 06.20.-f (Metrology) 03.67.-a (Quantum information)

Xiao-Long Gong(龚小龙), Shuo Cao(曹硕), Yue Fang(方越), and Tong-Hua Liu(刘统华). Relativistic motion on Gaussian quantum steering for two-mode localized Gaussian states[J]. 中国物理B, 2022, 31(5): 50402-050402.

Xiao-Long Gong(龚小龙), Shuo Cao(曹硕), Yue Fang(方越), and Tong-Hua Liu(刘统华). Relativistic motion on Gaussian quantum steering for two-mode localized Gaussian states[J]. Chin. Phys. B, 2022, 31(5): 50402-050402.

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Relativistic motion on Gaussian quantum steering for two-mode localized Gaussian states

Relativistic motion on Gaussian quantum steering for two-mode localized Gaussian states

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