Weighted Information and Weighted Entropic Inequalities for Qutrit States


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Abstract

We review the notion of weighted quantum entropy and consider the weighted quantum entropy for bipartite and noncomposite quantum systems. We extend the subadditivity condition, the inequality known for the weighted entropy information, to the case of indivisible qudit system, such as a qutrit. We discuss the new inequality for the qutrit density matrix for different weights and states, as well as the role of weighted entropy with respect to nonlinear quantum channels.

About the authors

Vladimir I. Man’ko

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

Email: seilov@live.ru
Russian Federation, Leninskii Prospect 53, Moscow, 119991; Institutskii per. 9, Dolgoprudnyi, Moscow Region, 141700

Zhanat Seilov

Moscow Institute of Physics and Technology (State University)

Author for correspondence.
Email: seilov@live.ru
Russian Federation, Institutskii per. 9, Dolgoprudnyi, Moscow Region, 141700

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