Entropies and correlations in classical and quantum systems

Man'ko, Margarita A. and Man'ko, Vladimir I. and Marmo, Giuseppe (2015) Entropies and correlations in classical and quantum systems. Il nuovo cimento C, 38 (5). pp. 1-15. ISSN 1826-9885

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Abstract

We present a review of entropy properties for classical and quantum systems including Shannon entropy, von Neumann entropy, R´enyi entropy, and Tsallis entropy. We discuss known and new entropic and information inequalities for classical and quantum systems, both composite and noncomposite. We demonstrate matrix inequalities associated with the entropic subadditivity and strong subadditivity conditions and give a new inequality for matrix elements of unitary matrices.

Item Type:	Article
Uncontrolled Keywords:	Nonlinear optics; Quantum description of interaction of light and matter; related experiments; Optical transient phenomena: quantum beats, photon echo, free-induction decay, dephasings and revivals, optical nutation, and self-induced transparency; Quantum mechanics
Subjects:	500 Scienze naturali e Matematica > 530 Fisica
Depositing User:	Marina Spanti
Date Deposited:	23 Jun 2020 09:02
Last Modified:	23 Jun 2020 09:02
URI:	http://eprints.bice.rm.cnr.it/id/eprint/19156

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