Special Issue "Group Representations, Algebraic Geometry and Topology in Quantum Information and (Epi)Genetics"

A special issue of Quantum Reports (ISSN 2624-960X).

Deadline for manuscript submissions: 30 November 2023 | Viewed by 145

Special Issue Editors

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
Special Issues, Collections and Topics in MDPI journals
German Aerospace Center (DLR), 10178 Berlin, Germany
Interests: quantum gravity; differential topology of spacetime; cosmology; dark energy and matter; foundation of quantum field theory; quantum geometry
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

The representation theory of groups is used to conciliate quantum information in physics and biology at the genome scale. The characters of a relevant finite group may be seen as informationally complete quantum states that map DNA bases onto amino acids (the genetic code). The mixing patterns of matter particles and CP symmetry/violation also rely on the character tables of finite groups.

SL(2,C) representations of a finitely generated group are organized into polynomial sets (the character variety), serving as a framework for models of topological quantum computing, particle physics and quantum gravity or being used for the transcription and regulation of genes.

In this Special Issue, we are interested in papers and essays on the aforementioned topics or those with the potential to establish bridges between quantum theory in physics and biology.

Prof. Dr. Michel Planat
Dr. Torsten Asselmeyer-Maluga
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. Quantum Reports is an international peer-reviewed open access quarterly 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 1400 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.


  • group representations
  • algebraic geometry
  • topological quantum computation
  • DNA/RNA structures
  • knots/links/braids
  • topological order
  • 3- and 4-manifolds
  • spin networks
  • quantum biology

Published Papers

This special issue is now open for submission, see below for planned papers.

Planned Papers

The below list represents only planned manuscripts. Some of these manuscripts have not been received by the Editorial Office yet. Papers submitted to MDPI journals are subject to peer-review.

Title: Towards étale topological quantum computing

Authors: Michel Planat 1, Marcelo Amaral 2, David Chester 2, Daniele Corradetti 2 and Klee Irwin 2

Affiliation: 1 Universit´E de Bourgogne/franche-Comt´e, Institut Femto-st CNRS UMR 6174, 15 b Avenue des Montboucons, f-25044 Besanc¸on, France; 2 Quantum Gravity Research, Los Angeles, CA 90290, USA.

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