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Special Issue "Information Geometric Characterization of Classical and Quantum Complex Systems"

A special issue of Entropy (ISSN 1099-4300). This special issue belongs to the section "Quantum Information".

Deadline for manuscript submissions: closed (30 April 2021) | Viewed by 2961

Special Issue Editors

Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22, 04103 Leipzig, Germany
Interests: learning and evolution; embodied cognitive systems; complexity; robustness; information geometry; graphical models and causality; information theory
Department of Mathematics and Physics, State University of New York Polytechnic Institute, Albany, NY 13502, USA
Interests: classical and quantum information physics; complexity; entropy; inference; information geometry
Special Issues, Collections and Topics in MDPI journals
University at Albany-SUNY, 12222 Albany, New York, USA
Interests: entropic dynamics; foundations of quantum mechanics, general relativity, and statistical mechanics; Bayesian and entropic inference; information geometry
Istituto Superiore di Istruzione Secondaria “A. Volta”, 81031 Aversa (CE), Italy
Interests: canonical divergence; classical and quantum complexity; information geometry

Special Issue Information

In this Special Issue, we propose the discussion of information geometric descriptions of both classical and quantum complex phenomena, from both an applied and theoretical perspective. Several types of scientists undertake these types of investigations, including applied mathematicians, quantum physicists, and statistical physicists. The mathematical and physical tools needed to investigate such problems are quite diverse and include, in particular, inference methods, information theory, probability theory, quantum physics, Riemannian geometry, and statistical physics. More importantly, the role that the concept of entropy plays in such information geometric formulations of natural phenomena is becoming increasingly important.

It is our great pleasure to welcome your contributions to this Special Issue with the main aim of advancing our search for a unifying information geometric complexity measure of universal applicability. Finally, we hope to highlight the entropic aspects uncovered by means of the information geometric modeling of natural complex phenomena, including special scenarios covered by either classical or quantum methods of theoretical physics.

Prof. Dr. Nihat Ay
Dr. Carlo Cafaro
Prof. Dr. Ariel Caticha
Dr. Domenico Felice
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Entropy is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.


  • complexity
  • differential geometry
  • entropy
  • foundations of statistical mechanics
  • foundations of quantum mechanics
  • inference methods
  • probability theory
  • quantum information and computation

Published Papers (2 papers)

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A Unified Approach to Local Quantum Uncertainty and Interferometric Power by Metric Adjusted Skew Information
Entropy 2021, 23(3), 263; https://doi.org/10.3390/e23030263 - 24 Feb 2021
Cited by 5 | Viewed by 1078
Local quantum uncertainty and interferometric power were introduced by Girolami et al. as geometric quantifiers of quantum correlations. The aim of the present paper is to discuss their properties in a unified manner by means of the metric adjusted skew information defined by [...] Read more.
Local quantum uncertainty and interferometric power were introduced by Girolami et al. as geometric quantifiers of quantum correlations. The aim of the present paper is to discuss their properties in a unified manner by means of the metric adjusted skew information defined by Hansen. Full article
Lp Unit Spheres and the α-Geometries: Questions and Perspectives
Entropy 2020, 22(12), 1409; https://doi.org/10.3390/e22121409 - 14 Dec 2020
Cited by 2 | Viewed by 1424
In Information Geometry, the unit sphere of Lp spaces plays an important role. In this paper, the aim is list a number of open problems, in classical and quantum IG, which are related to Lp geometry. Full article
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