Generalized Einstein-Podolsky-Rosen steering paradox

doi:10.1088/1674-1056/ad73b7

中国物理B ›› 2024, Vol. 33 ›› Issue (11): 110307-110307.doi: 10.1088/1674-1056/ad73b7

Generalized Einstein-Podolsky-Rosen steering paradox

Zhi-Jie Liu(刘志洁)^1,†, Xing-Yan Fan(樊星言)^1,†, Jie Zhou(周洁)^2,†, Mi Xie(谢汨)³, and Jing-Ling Chen(陈景灵)^1,‡

1 Theoretical Physics Division, Chern Institute of Mathematics and LPMC, Nankai University, Tianjin 300071, China;
2 College of Physics and Materials Science, Tianjin Normal University, Tianjin 300382, China;
3 Department of Physics, School of Science, Tianjin University, Tianjin 300072, China

收稿日期:2024-08-05 修回日期:2024-08-25 接受日期:2024-08-27 出版日期:2024-11-15 发布日期:2024-11-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 12275136 and 12075001), the 111 Project (Grant No. B23045), and the Nankai Zhide Foundation.

Generalized Einstein-Podolsky-Rosen steering paradox

Zhi-Jie Liu(刘志洁)^1,†, Xing-Yan Fan(樊星言)^1,†, Jie Zhou(周洁)^2,†, Mi Xie(谢汨)³, and Jing-Ling Chen(陈景灵)^1,‡

1 Theoretical Physics Division, Chern Institute of Mathematics and LPMC, Nankai University, Tianjin 300071, China;
2 College of Physics and Materials Science, Tianjin Normal University, Tianjin 300382, China;
3 Department of Physics, School of Science, Tianjin University, Tianjin 300072, China

Received:2024-08-05 Revised:2024-08-25 Accepted:2024-08-27 Online:2024-11-15 Published:2024-11-15
Contact: Jing-Ling Chen E-mail:chenjl@nankai.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 12275136 and 12075001), the 111 Project (Grant No. B23045), and the Nankai Zhide Foundation.

摘要/Abstract

摘要： Quantum paradoxes are essential means to reveal the incompatibility between quantum and classical theories, among which the Einstein-Podolsky-Rosen (EPR) steering paradox offers a sharper criterion for the contradiction between local-hidden-state model and quantum mechanics than the usual inequality-based method. In this work, we present a generalized EPR steering paradox, which predicts a contradictory equality "$2_{\rm Q}=\left( 1+\delta\right) _{\rm C}$" ($0\leq\delta<1$) given by the quantum (Q) and classical (C) theories. For any $N$-qubit state in which the conditional state of the steered party is pure, we test the paradox through a two-setting steering protocol, and find that the state is steerable if some specific measurement requirements are satisfied. Moreover, our construction also enlightens the building of EPR steering inequality, which may contribute to some schemes for typical quantum teleportation and quantum key distributions.

关键词: EPR steering, steering paradox, quantum entangled states

Abstract: Quantum paradoxes are essential means to reveal the incompatibility between quantum and classical theories, among which the Einstein-Podolsky-Rosen (EPR) steering paradox offers a sharper criterion for the contradiction between local-hidden-state model and quantum mechanics than the usual inequality-based method. In this work, we present a generalized EPR steering paradox, which predicts a contradictory equality "$2_{\rm Q}=\left( 1+\delta\right) _{\rm C}$" ($0\leq\delta<1$) given by the quantum (Q) and classical (C) theories. For any $N$-qubit state in which the conditional state of the steered party is pure, we test the paradox through a two-setting steering protocol, and find that the state is steerable if some specific measurement requirements are satisfied. Moreover, our construction also enlightens the building of EPR steering inequality, which may contribute to some schemes for typical quantum teleportation and quantum key distributions.

Key words: EPR steering, steering paradox, quantum entangled states

中图分类号: (Quantum information)

03.67.-a

03.65.Ud (Entanglement and quantum nonlocality) 03.67.Mn (Entanglement measures, witnesses, and other characterizations)

Zhi-Jie Liu(刘志洁), Xing-Yan Fan(樊星言), Jie Zhou(周洁), Mi Xie(谢汨), and Jing-Ling Chen(陈景灵). Generalized Einstein-Podolsky-Rosen steering paradox[J]. 中国物理B, 2024, 33(11): 110307-110307.

Zhi-Jie Liu(刘志洁), Xing-Yan Fan(樊星言), Jie Zhou(周洁), Mi Xie(谢汨), and Jing-Ling Chen(陈景灵). Generalized Einstein-Podolsky-Rosen steering paradox[J]. Chin. Phys. B, 2024, 33(11): 110307-110307.

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Generalized Einstein-Podolsky-Rosen steering paradox

Generalized Einstein-Podolsky-Rosen steering paradox

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