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Discord Derived from Tsallis Entropy

2012/06/01 by Jacek Jurkowski, Jurkowski, Jacek
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.1206.0241

3 figures

arxiv created 2012/06/01 · arxiv updated 2012/06/04

Abstract

Due to some ambiguity in defining mutual Tsallis entropy in the classical probability theory, its generalization to quantum theory is discussed and, as a consequence, two types of generalized quantum discord, called q-discords, are defined in terms of quantum Tsallis entropy. q-discords for two-qubit Werner and isotropic states are calculated and it is shown that one of them is positive, at least for states under investigation, for all q>0. Finally, an analytical expression for q-discord of certain family of two-qubit X states is presented.

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