Quantum Bell nonlocality cannot be shared under a special kind of bilateral measurements for high-dimensional quantum states

Quantum Bell nonlocality is an important quantum phenomenon. Recently, the shareability of Bell nonlocality under unilateral measurements has been widely studied. In this study, we consider the shareability of quantum Bell nonlocality under bilateral measurements. Under a specific class of projectio...

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Bibliographic Details
Published in:Quantum information processing 2022-10, Vol.21 (10), Article 350
Main Authors: Zhang, Tinggui, Luo, Qiming, Huang, Xiaofen
Format: Article
Language:English
Subjects:
Data Structures and Information Theory
Mathematical Physics
Physics
Physics and Astronomy
Quantum Computing
Quantum Information Technology
Quantum Physics
Spintronics
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Summary:Quantum Bell nonlocality is an important quantum phenomenon. Recently, the shareability of Bell nonlocality under unilateral measurements has been widely studied. In this study, we consider the shareability of quantum Bell nonlocality under bilateral measurements. Under a specific class of projection operators, we find that quantum Bell nonlocality cannot be shared for a limited number of times, as in the case of unilateral measurements. Our proof is analytical, and our measurement strategies can be generalized to higher-dimensional cases.
ISSN:1573-1332
1573-1332
DOI:10.1007/s11128-022-03699-z