Genuine monogamy relations in no-signaling theories-a geometric approachopen access
- Authors
- Ryu, Junghee; Lee, Daemin; Lee, Jinhyoung; Kurzynski, Pawel; Kaszlikowski, Dagomir
- Issue Date
- Apr-2021
- Publisher
- IOP PUBLISHING LTD
- Keywords
- quantum correlations; monogamy relations; information-theoretical distance; triangle inequality
- Citation
- NEW JOURNAL OF PHYSICS, v.23, no.4, pp.1 - 13
- Indexed
- SCIE
SCOPUS
- Journal Title
- NEW JOURNAL OF PHYSICS
- Volume
- 23
- Number
- 4
- Start Page
- 1
- End Page
- 13
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/142073
- DOI
- 10.1088/1367-2630/abf2fb
- ISSN
- 1367-2630
- 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.
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