2016
DOI: 10.1007/s11128-016-1245-8
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Comparison of quantum discord and relative entropy in some bipartite quantum systems

Abstract: The study of quantum correlations in High-dimensional bipartite systems is crucial for the development of quantum computing. We propose relative entropy as a distance measure of correlations may be measured by means of the distance from the quantum state to the closest classical-classical state. In particular, We establish relations between relative entropy and quantum discord quantifiers obtained by means of orthogonal projection measurements. We show that for symmetrical X-states density matrices the quantum… Show more

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Cited by 7 publications
(6 citation statements)
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“…Entanglement, the most prominent correlation, has received a considerable attention and several methods have been made to measure it, specially in case of two-qubits [10,11]. Moreover, quantum discord, the second remarkable quantum concept, possesses a substantial value which is defined based on difference between classical and nonclassical correlations [12,13,14]. Also the other quantum correlations like deficit, dissonance, consonance and etc.…”
mentioning
confidence: 99%
“…Entanglement, the most prominent correlation, has received a considerable attention and several methods have been made to measure it, specially in case of two-qubits [10,11]. Moreover, quantum discord, the second remarkable quantum concept, possesses a substantial value which is defined based on difference between classical and nonclassical correlations [12,13,14]. Also the other quantum correlations like deficit, dissonance, consonance and etc.…”
mentioning
confidence: 99%
“…Let us consider ρ BC to be the joint density matrix of battery and charger. Then mutual information is given by [42,43]…”
Section: B Correlationsmentioning
confidence: 99%
“…It is important to mention that there are further measures that have been put forward in the last fifteen years or so. These include the ones that have been proposed [134,[178][179][180][181][182][183][184] based on Rényi and Tsallis entropies [185][186][187][188][189][190][191]. Further examples include Refs.…”
Section: Other Quantum Correlation Measuresmentioning
confidence: 99%