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https://doi.org/10.3390/e21020134
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. https://doi.org/10.3390/e21020134 | 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 | URI: | https://scholarbank.nus.edu.sg/handle/10635/212329 | ISSN: | 10994300 | DOI: | 10.3390/e21020134 | Rights: | Attribution 4.0 International |
Appears in Collections: | Staff Publications Elements |
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