Sharing quantum nonlocality in the noisy scenario

doi:10.1088/1674-1056/ad062d

中国物理B ›› 2024, Vol. 33 ›› Issue (1): 10302-10302.doi: 10.1088/1674-1056/ad062d

Sharing quantum nonlocality in the noisy scenario

Shu-Yuan Yang(杨舒媛), Jin-Chuan Hou(侯晋川), and Kan He(贺衎)^†

College of Mathematics, Taiyuan University of Technology, Taiyuan 030024, China

收稿日期:2023-09-18 修回日期:2023-10-21 接受日期:2023-10-24 出版日期:2023-12-13 发布日期:2023-12-13
通讯作者: Kan He E-mail:hekanquantum@163.com
基金资助:
This work is supported by the National Natural Science Foundation of China (Grant Nos. 12271394 and 12071336) and the Key Research and Development Program of Shanxi Province (Grant No. 202102010101004).

Sharing quantum nonlocality in the noisy scenario

Shu-Yuan Yang(杨舒媛), Jin-Chuan Hou(侯晋川), and Kan He(贺衎)^†

College of Mathematics, Taiyuan University of Technology, Taiyuan 030024, China

Received:2023-09-18 Revised:2023-10-21 Accepted:2023-10-24 Online:2023-12-13 Published:2023-12-13
Contact: Kan He E-mail:hekanquantum@163.com
Supported by:
This work is supported by the National Natural Science Foundation of China (Grant Nos. 12271394 and 12071336) and the Key Research and Development Program of Shanxi Province (Grant No. 202102010101004).

摘要/Abstract

摘要： It was showed in [Phys. Rev. Lett. 125 090401 (2020)] that there exist unbounded number of independent Bobs who can share quantum nonlocality with a single Alice by performing sequentially measurements on the Bob's half of the maximally entangled pure two-qubit state. However, from practical perspectives, errors in entanglement generation and noises in quantum measurements will result in the decay of nonlocality in the scenario. In this paper, we analyze the persistency and termination of sharing nonlocality in the noisy scenario. We first obtain the two sufficient conditions under which there exist n independent Bobs who can share nonlocality with a single Alice under noisy measurements and the noisy initial two qubit entangled state. Analyzing the two conditions, we find that the influences on persistency under different kinds of noises can cancel each other out. Furthermore, we describe the change patterns of the maximal nonlocality-sharing number under the influence of different noises. Finally, we extend our investigation to the case of arbitrary finite-dimensional systems.

关键词: Bell nonlocality, quantum measurement, quantum noise

Abstract: It was showed in [Phys. Rev. Lett. 125 090401 (2020)] that there exist unbounded number of independent Bobs who can share quantum nonlocality with a single Alice by performing sequentially measurements on the Bob's half of the maximally entangled pure two-qubit state. However, from practical perspectives, errors in entanglement generation and noises in quantum measurements will result in the decay of nonlocality in the scenario. In this paper, we analyze the persistency and termination of sharing nonlocality in the noisy scenario. We first obtain the two sufficient conditions under which there exist n independent Bobs who can share nonlocality with a single Alice under noisy measurements and the noisy initial two qubit entangled state. Analyzing the two conditions, we find that the influences on persistency under different kinds of noises can cancel each other out. Furthermore, we describe the change patterns of the maximal nonlocality-sharing number under the influence of different noises. Finally, we extend our investigation to the case of arbitrary finite-dimensional systems.

Key words: Bell nonlocality, quantum measurement, quantum noise

中图分类号: (Entanglement and quantum nonlocality)

03.65.Ud

03.67.-a (Quantum information)

Shu-Yuan Yang(杨舒媛), Jin-Chuan Hou(侯晋川), and Kan He(贺衎). Sharing quantum nonlocality in the noisy scenario[J]. 中国物理B, 2024, 33(1): 10302-10302.

Shu-Yuan Yang(杨舒媛), Jin-Chuan Hou(侯晋川), and Kan He(贺衎). Sharing quantum nonlocality in the noisy scenario[J]. Chin. Phys. B, 2024, 33(1): 10302-10302.

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Sharing quantum nonlocality in the noisy scenario

Sharing quantum nonlocality in the noisy scenario

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