A generalized quantum relative entropy | Zendy

Luiza Helena Félix de Andrade | Zendy; Rui F. Vigelis | Zendy; Charles C. Cavalcante | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

A generalized quantum relative entropy

Author(s) -

Luiza Helena Félix de Andrade,

Rui F. Vigelis,

Charles C. Cavalcante

Publication year - 2020

Publication title -

advances in mathematics of communications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.601

H-Index - 26

eISSN - 1930-5346

pISSN - 1930-5338

DOI - 10.3934/amc.2020063

Subject(s) - mathematics , invertible matrix , geodesic , quantum relative entropy , kullback–leibler divergence , quantum , pure mathematics , exponential function , entropy (arrow of time) , probability density function , generalized relative entropy , manifold (fluid mechanics) , statistical physics , combinatorics , mathematical analysis , quantum discord , statistics , quantum mechanics , quantum entanglement , mechanical engineering , physics , engineering

We propose a generalization of the quantum relative entropy by considering the geodesic on a manifold formed by all the invertible density matrices \begin{document}$ \mathcal{P} $\end{document} . This geodesic is defined from a deformed exponential function \begin{document}$ \varphi $\end{document} which allows to work with a wider class of families of probability distributions. Such choice allows important flexibility in the statistical model. We show and discuss some properties of this proposed generalized quantum relative entropy.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research