General Bell-CHSH type and entropic inequalities based on quantum tomograms |
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Authors: | L V Akopyan and V I Man’ko |
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Abstract: | 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. |
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