{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:32:39Z","timestamp":1760239959264,"version":"build-2065373602"},"reference-count":28,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2019,2,1]],"date-time":"2019-02-01T00:00:00Z","timestamp":1548979200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Research foundation, Singapore and Ministry of Education, Singapore","award":["CQT"],"award-info":[{"award-number":["CQT"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Quantum communication and quantum computation form the two crucial facets of quantum information theory. While entanglement and its manifestation as Bell non-locality have been proved to be vital for communication tasks, contextuality (a generalisation of Bell non-locality) has shown to be the crucial resource behind various models of quantum computation. The practical and fundamental aspects of these non-classical resources are still poorly understood despite decades of research. We explore non-classical correlations exhibited by some of these quantum as well as super-quantum resources in the n-cycle setting. In particular, we focus on correlations manifested by Kochen\u2013Specker\u2013Klyachko box (KS box), scenarios involving n-cycle non-contextuality inequalities and Popescu\u2013Rohlrich boxes (PR box). We provide the criteria for optimal classical simulation of a KS box of arbitrary n dimension. The non-contextuality inequalities are analysed for n-cycle setting, and the condition for the quantum violation for odd as well as even n-cycle is discussed. We offer a simple extension of even cycle non-contextuality inequalities to the phase space case. Furthermore, we simulate a generalised PR box using KS box and provide some interesting insights. Towards the end, we discuss a few possible interesting open problems for future research. Our work connects generalised PR boxes, arbitrary dimensional KS boxes, and n-cycle non-contextuality inequalities and thus provides the pathway for the study of these contextual and nonlocal resources at their junction.<\/jats:p>","DOI":"10.3390\/e21020134","type":"journal-article","created":{"date-parts":[[2019,2,1]],"date-time":"2019-02-01T11:19:58Z","timestamp":1549019998000},"page":"134","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Non-Classical Correlations in n-Cycle Setting"],"prefix":"10.3390","volume":"21","author":[{"given":"Kishor","family":"Bharti","sequence":"first","affiliation":[{"name":"Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543, Singapore"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Maharshi","family":"Ray","sequence":"additional","affiliation":[{"name":"Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543, Singapore"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0879-0591","authenticated-orcid":false,"given":"Leong-Chuan","family":"Kwek","sequence":"additional","affiliation":[{"name":"Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543, Singapore"},{"name":"MajuLab, CNRS-UNS-NUS-NTU International Joint Research Unit, Singapore UMI 3654, Singapore"},{"name":"National Institute of Education, Nanyang Technological University, Singapore 637616, Singapore"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2019,2,1]]},"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":"Phys. 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