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Journal of Russian Laser Research

Bell-type inequalities and tomographic entropies of multiqudit states

Loran V. Akopyan, Vladimir I. Man’ko, D. K. Udumyan

Published Jan 1, 2010• 1 citation
Publisher
DOI
10.1007/s10946-010-9124-8

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To the article “Bell-type inequalities and upper bounds for multiqudit states” by Loran V. Akopyan and Vladimir I. Man’ko [Vol. 30, No. 4, pp. 338-358 (July-August, 2009)].

Loran V. Akopyan, Vladimir I. Man’ko

Journal of Russian Laser Research•Nov 1, 2009•0 citations
Review of Bell-CHSH type and entropic inequalities in composite quantum correlated systems in the probability representation of states is presented. The upper bounds for some new Bell-CHSH type inequalities within the framework of classical probability theory and in quantum tomography are compared. Violation of Bell-CHSH type inequalities are shown explicitly using the method of averaging in tomographic picture of quantum states. Joint tomographic entropies of multiqubit systems are studied. Limitations on inequalities for tomographic entropies are obtained. A negative result of possible connection between the violation of entropic and Bell-CHSH type inequalities in multi-partite states is reported.