Please use this identifier to cite or link to this item: https://doi.org/10.3390/e21020134
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dc.titleNon-classical correlations in n-cycle setting
dc.contributor.authorBharti, K.
dc.contributor.authorRay, M.
dc.contributor.authorKwek, L.-C.
dc.date.accessioned2021-12-29T04:37:08Z
dc.date.available2021-12-29T04:37:08Z
dc.date.issued2019
dc.identifier.citationBharti, K., Ray, M., Kwek, L.-C. (2019). Non-classical correlations in n-cycle setting. Entropy 21 (2) : 134. ScholarBank@NUS Repository. https://doi.org/10.3390/e21020134
dc.identifier.issn10994300
dc.identifier.urihttps://scholarbank.nus.edu.sg/handle/10635/212329
dc.description.abstractQuantum 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-Specker-Klyachko box (KS box), scenarios involving n-cycle non-contextuality inequalities and Popescu-Rohlrich 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. © 2019 by the authors.
dc.publisherMDPI AG
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceScopus OA2019
dc.subjectKS Box
dc.subjectNon-contextuality inequality
dc.subjectPR Box
dc.typeArticle
dc.contributor.departmentCENTRE FOR QUANTUM TECHNOLOGIES
dc.description.doi10.3390/e21020134
dc.description.sourcetitleEntropy
dc.description.volume21
dc.description.issue2
dc.description.page134
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