2019
DOI: 10.1007/s11128-018-2154-9
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Abstract: We study some desirable properties of recently introduced measures of quantum correlations based on the amount of non-commutativity quantified by the Hilbert-Schmidt norm (Sci Rep 6:25241, 2016, and Quantum Inf. Process. 16:226, 2017).Specifically, we show that: 1) for any bipartite (A + B) state, the measures of quantum correlations with respect to subsystem A are non-increasing under any Local Commutative Preserving Operation on subsystem A, and 2) for Bell diagonal states, the measures are non-increasing u…

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