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Title: Non-classical correlations in n-cycle setting
Authors: Bharti, K.
Ray, M. 
Kwek, L.-C. 
Keywords: KS Box
Non-contextuality inequality
PR Box
Issue Date: 2019
Publisher: MDPI AG
Citation: Bharti, K., Ray, M., Kwek, L.-C. (2019). Non-classical correlations in n-cycle setting. Entropy 21 (2) : 134. ScholarBank@NUS Repository.
Rights: Attribution 4.0 International
Abstract: 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-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.
Source Title: Entropy
ISSN: 10994300
DOI: 10.3390/e21020134
Rights: Attribution 4.0 International
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