{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:57:32Z","timestamp":1760241452586,"version":"build-2065373602"},"reference-count":26,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2018,3,23]],"date-time":"2018-03-23T00:00:00Z","timestamp":1521763200000},"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>We present a general approach for quantifying tolerance of a nonlocal N-partite state to any local noise under different classes of quantum correlation scenarios with arbitrary numbers of settings and outcomes at each site. This allows us to derive new precise bounds in d and N on noise tolerances for: (i) an arbitrary nonlocal N-qudit state; (ii) the N-qudit Greenberger\u2013Horne\u2013Zeilinger (GHZ) state; (iii) the N-qubit W state and the N-qubit Dicke states, and to analyse asymptotics of these precise bounds for large N and     d .    <\/jats:p>","DOI":"10.3390\/e20040217","type":"journal-article","created":{"date-parts":[[2018,3,23]],"date-time":"2018-03-23T08:34:53Z","timestamp":1521794093000},"page":"217","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Quantifying Tolerance of a Nonlocal Multi-Qudit State to Any Local Noise"],"prefix":"10.3390","volume":"20","author":[{"given":"Elena","family":"Loubenets","sequence":"first","affiliation":[{"name":"Applied Mathematics Department, National Research University Higher School of Economics, Moscow 101000, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2018,3,23]]},"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":"447","DOI":"10.1103\/RevModPhys.38.447","article-title":"On the problem of hidden variables in Quantum Mechanics","volume":"38","author":"Bell","year":"1966","journal-title":"Rev. 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