JPCS, 2015, Volume 594, 12045, 5 pp.
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
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.
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