{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:56:17Z","timestamp":1760241377788,"version":"build-2065373602"},"reference-count":23,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2018,2,27]],"date-time":"2018-02-27T00:00:00Z","timestamp":1519689600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Why does nature only allow nonlocal correlations up to Tsirelson\u2019s bound and not beyond? We construct a channel whose input is statistically independent of its output, but through which communication is nevertheless possible if and only if Tsirelson\u2019s bound is violated. This provides a statistical justification for Tsirelson\u2019s bound on nonlocal correlations in a bipartite setting.<\/jats:p>","DOI":"10.3390\/e20030151","type":"journal-article","created":{"date-parts":[[2018,2,27]],"date-time":"2018-02-27T14:18:08Z","timestamp":1519741088000},"page":"151","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Tsirelson\u2019s Bound Prohibits Communication through a Disconnected Channel"],"prefix":"10.3390","volume":"20","author":[{"given":"Avishy","family":"Carmi","sequence":"first","affiliation":[{"name":"Center for Quantum Information Science and Technology, Ben-Gurion University of the Negev, Beersheba 8410501, Israel"},{"name":"Faculty of Engineering Sciences, Ben-Gurion University of the Negev, Beersheba 8410501, Israel"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6215-7124","authenticated-orcid":false,"given":"Daniel","family":"Moskovich","sequence":"additional","affiliation":[{"name":"Center for Quantum Information Science and Technology, Ben-Gurion University of the Negev, Beersheba 8410501, Israel"},{"name":"Faculty of Engineering Sciences, Ben-Gurion University of the Negev, Beersheba 8410501, Israel"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2018,2,27]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"195","DOI":"10.1103\/PhysicsPhysiqueFizika.1.195","article-title":"On the Einstein-Podolsky-Rosen paradox","volume":"1","author":"Bell","year":"1964","journal-title":"Physics"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"379","DOI":"10.1007\/BF02058098","article-title":"Quantum nonlocality as an axiom","volume":"24","author":"Popescu","year":"1994","journal-title":"Found. 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