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- W3141472486 abstract "Quantum correlations are subject to certain distribution rules represented by so-called monogamy relations. Derivation of monogamy relations for multipartite systems is a non-trivial problem, as the multipartite correlations reveal their behaviors in a way different from bipartite systems. We here show that simple geometric properties of probabilistic spaces, in conjunction with no-signaling principle, lead to genuine monogamy relations for a large class of Bell type inequalities for many qubits. The term of 'genuine' implies that only one out of N Bell inequalities exhibits a quantum violation. We also generalize our method to qudits. Using the similar geometric approach with a quasi-distance employed, we derive Svetlichny–Zohren–Gill type Bell inequalities for d-dimensional tripartite systems, and show their monogamous nature." @default.
- W3141472486 created "2021-04-13" @default.
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- W3141472486 date "2021-04-01" @default.
- W3141472486 modified "2023-10-18" @default.
- W3141472486 title "Genuine monogamy relations in no-signaling theories—a geometric approach" @default.
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- W3141472486 doi "https://doi.org/10.1088/1367-2630/abf2fb" @default.
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