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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 |
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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.
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Received: 18 September 2023
Revised: 21 October 2023
Accepted manuscript online: 24 October 2023
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PACS:
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03.65.Ud
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(Entanglement and quantum nonlocality)
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03.67.-a
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(Quantum information)
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| Fund: 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). |
Corresponding Authors:
Kan He
E-mail: hekanquantum@163.com
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Cite this article:
Shu-Yuan Yang(杨舒媛), Jin-Chuan Hou(侯晋川), and Kan He(贺衎) Sharing quantum nonlocality in the noisy scenario 2024 Chin. Phys. B 33 010302
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