Special Issue "Mathematical Physics and Quantum Information"

A special issue of Mathematics (ISSN 2227-7390).

Deadline for manuscript submissions: closed (31 January 2019).

Special Issue Editor

Prof. Dr. Michel Planat
E-Mail Website
Guest Editor
Institut FEMTO-ST, CNRS and Université de Bourgogne/Franche-Comté, 15 B Avenue des Montboucons, F-25044 Besançon, France
Interests: foundations of quantum theory; quantum computation; number theory; graph theory; finite groups and finite geometries; Grothendieck’s dessins d’enfants; quantum statistical physics; quantum brain
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Special Issue Information

Dear Colleagues,

Wigner’s “unreasonable effectiveness of mathematics” applies to foundational problems in quantum information theory (QIT) and the puzzles of quantum mechanics (EPR, Kochen-Specker, Schr¨odinger’s cat). Advanced mathematical concepts such as finite simple groups and the related finite geometries, algebraic combinatorics, number theory, the modularity theorem and operator algebras have been shown to play a significant role in QIT. Finding efficient quantum codes and algorithms, modeling quantum communication channels, generalized quantum measurements (POVMs) and the representation of quantum computing are some instances of the usefulness of mathematics in quantum physics. Finally quantum-like cognition and the quantum mind are valid concepts pertaining to the boundary of mathematics and the human mind that needs further study.

The Guest Editor solicits papers dealing with these challenging questions in the language of mathematics.

Prof. Dr. Michel Planat
Guest Editor

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 papers will be 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. Mathematics is an international peer-reviewed open access semimonthly 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 1600 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.


  • Quantum information theory (QIT)
  • Foundations of quantum mechanics
  • Quantum entanglement
  • Quantum contextuality
  • Quantum channels
  • Quantum codes
  • Quantum computing
  • Quantum cognition
  • Informationally complete POVMs
  • Phase space methods
  • Quantum probability
  • Group theory
  • Number theory
  • Operator algebras

Published Papers (1 paper)

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Open AccessFeature PaperArticle
Acting Semicircular Elements Induced by Orthogonal Projections on Von-Neumann-Algebras
Mathematics 2017, 5(4), 74; https://doi.org/10.3390/math5040074 - 06 Dec 2017
Cited by 3 | Viewed by 1260
In this paper, we construct a free semicircular family induced by Z -many mutually-orthogonal projections, and construct Banach ∗-probability spaces containing the family, called the free filterizations. By acting a free filterization on fixed von Neumann algebras, we construct the corresponding Banach ∗-probability spaces, called affiliated free filterizations. We study free-probabilistic properties on such new structures, determined by both semicircularity and free-distributional data on von Neumann algebras. In particular, we study how the freeness on free filterizations, and embedded freeness conditions on fixed von Neumann algebras affect free-distributional data on affiliated free filterizations. Full article
(This article belongs to the Special Issue Mathematical Physics and Quantum Information)
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