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

23rd International Laser Physics Workshop

Fedorov, Aleksey^1,2 ; Kiktenko, Evgeny^2,3

Russian Quantum Center, 100 Novaya Street, Skolkovo, Moscow

143025, Russia^1

Bauman Moscow State Technical University, 5 2nd Baumanskaya, Moscow

105005, Russia^2

Geoelectromagnetic Research Center of Schmidt, Institute of Physics of the Earth, Russian Academy of Sciences, P.O. 30 Troitsk, Moscow Region

142190, Russia^3

关键词: Bipartite quantum systems;    Bipartite systems;    External magnetic field;    Heisenberg interaction;    Interaction energies;    Mutual informations;    Partition functions;    Thermal state;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/594/1/012045/pdf
DOI  :  10.1088/1742-6596/594/1/012045

来源: IOP

【 摘 要 】

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.