No signaling and strong subadditivity condition for tomographic q-entropy of single qudit states

The single qudit state tomograms are shown to have the no signaling property. The known and new entropic and information inequalities for Shannon, von Neumann and q-entropies of the composite and noncomposite systems characterizing correlations in these systems are discussed. The spin tomographic pr...

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Bibliographic Details
Published inarXiv.org
Main Authors Chernega, V N, Man'ko, O V
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 15.04.2015
Subjects
Entropy
Inequalities
Physics - Quantum Physics
Signaling
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Summary:The single qudit state tomograms are shown to have the no signaling property. The known and new entropic and information inequalities for Shannon, von Neumann and q-entropies of the composite and noncomposite systems characterizing correlations in these systems are discussed. The spin tomographic probability distributions determining the single qudit states are demonstrated to satisfy the strong subadditivity condition for Tsallis q-entropy. Examples of the new entropic inequalities for q-entropy are considered for qudits with j = 5=2, j = 7=2.
ISSN:2331-8422
DOI:10.48550/arxiv.1504.03858