Special Issue "Quantum Information"

Guest Editor
Dr. Peter Harremoës
Copenhagen Business College, Rønne Alle 1, st., DK-2860 Søborg, Denmark
Website: http://www.harremoes.dk/Peter
E-Mail: entropeter@mdpi.com
Phone: +45 39 56 41 71
Interests: symmetry; information divergence; cause and effect; Maxwell\'s demon; probability and statistics

Submission

All manuscripts should be submitted to entropy@mdpi.com with a copy to the Guest Editor. Manuscripts can be submitted until the deadline. Papers will be published continuously (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as 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.

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• von Neumann entropy
• Renyi entropies
• channel capacities
• additivity
• de Finetti theorem
• quantum cryptography

Type of Paper: Article
Title: Fisher Entropy to Shape Quantum Geometry
Authors: Germano Resconi ¹ and Ignazio Licata ²
Affiliations: ¹ Catholic University , via Treiste 17 Brescia , Italy; E-Mail: resconi@numerica.it
² ISEM, Inst. For Scientific Methodology, PA, Italy; E-Mail: Ignazio.licata@ejtp.info
Abstract: A non-Euclidean geometry of information derives, on quantum level, from the probabilistic features of superposition and entanglement. Superposition phenomena lead to probabilities defined as distances in non-Euclidean spaces (quantum probability is not additive, and this is classically expressed by complex numbers, which are unnecessary in geometrical theory), entanglement imposes to build a space of global or statistical parameters, such as the averages including non-local and active information.
Deformation of universal geometry is the active information connected with Fisher entropy in the parameter space. Superposition in quantum mechanics is reflected in the deformation of the geometry. Entanglement is connected with the synchronic acquisition of the same geometry in any part of the universe. The essence of entanglement lies on the creation of a particular universal geometry in any part of the universe at the same time. The Universe and its geometry are reshaped at any moment for the change of the physical properties of the particles in the universe.

Type of Paper: Review
Title: Information Uncertainty: Bayesian Probability, Fuzzy Representation, Neural Networks or Quantum Probabilities?
Author: Nikola Kasabov
Affiliation: Knowledge Engineering and Discovery Research Institute, Auckland University of Technology, 350 Queen street, Auckland 1010, New Zealand; E-Mail: nkasabov@aut.ac.nz; Website: http://www.kedri.info
Abstract: The paper reviews the main principles of several techniques for representing and processing information uncertainty. They include: Bayesian probability, fuzzy representation, neural networks and quantum superposition. A comparison between them is provided along with their past, current and future potential applications for solving class of problems.
Keywords: Bayesian probability; fuzzy representation; neural networks; quantum probabilities