Subadditivity and Strong Subadditivity Conditions for the Density Matrix of the Five-Level Atom


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Abstract

We obtain new quantum inequalities for von Neumann entropy of the five-level atom, which are analogs of the subadditivity condition known for bipartite quantum systems and the strong subadditivity condition known for tripartite quantum systems. We discuss the possibility to check the inequalities for the single qudit with j = 2, which can be realized as a five-level atom in the experiments with superconducting circuits. We present the strong subadditivity conditions for the finite-level atomic populations.

About the authors

Margarita A. Man’ko

Lebedev Physical Institute, Russian Academy of Sciences

Author for correspondence.
Email: mmanko@sci.lebedev.ru
Russian Federation, Leninskii Prospect 53, Moscow, 119991

Vladimir I. Man’ko

Lebedev Physical Institute, Russian Academy of Sciences; Moscow Institute of Physics and Technology (State University); Faculty of Physics, Tomsk State University

Email: mmanko@sci.lebedev.ru
Russian Federation, Leninskii Prospect 53, Moscow, 119991; Dolgoprudnyi, Moscow Region, 141700; Lenin Avenue 36, Tomsk, 634050

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