Acta mathematica scientia,Series A ›› 2026, Vol. 46 ›› Issue (1): 366-376.

• Original article • Previous Articles    

Sharing Quantum Nonlocality in Noisy Star Networks

Shan Liu, Kan He, Feng Zhang*()   

  1. College of Mathematics, Taiyuan University of Technology, Shanxi Jinzhong 030600
  • Received:2024-12-20 Revised:2025-04-24 Online:2026-02-26 Published:2026-01-19
  • Contact: Feng Zhang E-mail:zhangfeng.0631@163.com
  • Supported by:
    NSFC(12271394);Shanxi Scholarship Council of China(2020-031);Fundamental Research Program of Shanxi Province(202203021212211)

Abstract:

Bell nonlocality sharing of quantum systems is a basic feature of quantum mechanics. The nonlocality sharing ability of network quantum states is stronger than bell nonlocality, and the structure of network quantum states is more complex. In practical applications, the error of quantum entanglement generation and the noise in the process of quantum measurement will lead to the decay of nonlocality sharing. This article explores the sufficient conditions for the persistence of nonlocality sharing with noise under unilateral and multilateral measurements in star networks, and analyzes the impact of different noise conditions on the persistence of nonlocality sharing in star networks. In particular, this paper also applies the above conclusions to the specific bilocal scenarios: with two independent sources, one central party and two edge parties.

Key words: quantum nonlocality sharing, quantum noise, quantum network, POVM measurements

CLC Number: 

  • O177
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