Next Article in Journal
Ranking DMUs by Comparing DEA Cross-Efficiency Intervals Using Entropy Measures
Next Article in Special Issue
Rényi Divergences, Bures Geometry and Quantum Statistical Thermodynamics
Previous Article in Journal
Entropy-Constrained Scalar Quantization with a Lossy-Compressed Bit
Previous Article in Special Issue
Effects Induced by the Initial Condition in the Quantum Kibble–Zurek Scaling for Changing the Symmetry-Breaking Field
Article Menu
Issue 12 (December) cover image

Export Article

Open AccessArticle
Entropy 2016, 18(12), 451;

Linear Quantum Entropy and Non-Hermitian Hamiltonians

Dipartimento di Scienze Matematiche e Informatiche, Scienze Fisiche e Scienze della Terra, Università degli Studi di Messina, Contrada Papardo, 98166 Messina, Italy
Institute of Systems Science, Durban University of Technology, P.O. Box 1334, 4000 Durban, South Africa
Author to whom correspondence should be addressed.
Academic Editor: Ignazio Licata
Received: 18 October 2016 / Revised: 4 December 2016 / Accepted: 13 December 2016 / Published: 16 December 2016
(This article belongs to the Special Issue Entropy in Quantum Systems and Quantum Field Theory (QFT))
Full-Text   |   PDF [257 KB, uploaded 16 December 2016]


We consider the description of open quantum systems with probability sinks (or sources) in terms of general non-Hermitian Hamiltonians. Within such a framework, we study novel possible definitions of the quantum linear entropy as an indicator of the flow of information during the dynamics. Such linear entropy functionals are necessary in the case of a partially Wigner-transformed non-Hermitian Hamiltonian (which is typically useful within a mixed quantum-classical representation). Both the case of a system represented by a pure non-Hermitian Hamiltonian as well as that of the case of non-Hermitian dynamics in a classical bath are explicitly considered. View Full-Text
Keywords: non-Hermitian quantum mechanics; quantum entropy; quantum-classical theory non-Hermitian quantum mechanics; quantum entropy; quantum-classical theory
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

Share & Cite This Article

MDPI and ACS Style

Sergi, A.; Giaquinta, P.V. Linear Quantum Entropy and Non-Hermitian Hamiltonians. Entropy 2016, 18, 451.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top