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JPCS, 2015, Volume 594, 12045, 5 pages (Mi jpcs2)  

Mutual information-energy inequality for thermal states of a bipartite quantum system

A. K. Fedorovab, E. O. Kiktenkocb

a Russian Quantum Center, 100 Novaya Street, Skolkovo, Moscow 143025, Russia
b Bauman Moscow State Technical University, 5 2nd Baumanskaya, Moscow 105005, Russia
c Geoelectromagnetic Research Center of Schmidt Institute of Physics of the Earth, Russian Academy of Sciences, P.O. 30 Troitsk, Moscow Region 142190, Russia

Abstract: In this work, we consider an upper bound for the quantum mutual information in thermal states of a bipartite quantum system. This bound is related with the interaction energy and logarithm of the partition function of the system. We demonstrate the connection between this upper bound and the value of the mutual information for the bipartite system realized by two spin-1/2 particles in the external magnetic field with the XY-Heisenberg interaction.

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation SP-961.2013.5
Dynasty Foundation
Russian Foundation for Basic Research 14-08-00606
14-02-00937
We acknowledge the support from the Council for Grants of the President of the Russian Federation (grant SP-961.2013.5, EOK), the Dynasty Foundation (AKF), and RFBR (projects 14-08-00606 & 14-02-00937).


DOI: https://doi.org/10.1088/1742-6596/594/1/012045


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Document Type: Article
Language: English

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