Tsallis entropy for assessing quantum correlation with Bell-type inequalities in EPR experiment

François Chapeau-Blondeau

Physica A: Statistical Mechanics and its Applications, 2014, vol. 414, issue C, 204-215

Abstract: A new Bell-type inequality is derived through the use of the Tsallis entropy to quantify the dependence between the classical outcomes of measurements performed on a bipartite quantum system, as typical of an EPR experiment. This new inequality is confronted with standard correlation-based Bell inequalities, and with other known Bell-type inequalities based on the Shannon entropy for which it constitutes a generalization. For an optimal range of the Tsallis order, the new inequality is able to detect nonlocal quantum correlation with measurements from a larger set of quantum observables. In this respect it is more powerful and also complementary compared to the previously known Bell-type inequalities.

Keywords: Tsallis entropy; Quantum correlation; Bell inequalities; EPR experiment; Quantum information (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:414:y:2014:i:c:p:204-215

DOI: 10.1016/j.physa.2014.07.053

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