Special Issue "Topological Quantum Computer"

A special issue of Condensed Matter (ISSN 2410-3896).

Deadline for manuscript submissions: closed (30 June 2020) | Viewed by 288

Special Issue Editor

Prof. Dr. Louis H. Kauffman
E-Mail Website
Guest Editor
Department of Mathematics, Statistics, and Computer Science University of Illinois at Chicago, Chicago, IL 60607-7045, USA
Interests: geometric topology; classical knot theory; virtual knot theory; higher dimensional knot theory; quantum knots; topological quantum field theory; quantum computing; topological quantum computing; diagrammatic and categorical approaches to mathematical structure
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Special Issue Information

Dear Colleagues,

Quantum computers have been formulated in terms of systems that have controlled/designed unitary transformations, methods for preparing initial quantum states, and methods for measuring the results of applying these unitary transformations to the initial states. The statistics of the measurement results can then be used to find new computational information.

The crux for successful quantum computing, on the mathematical side, is in the design of algorithms based on this method. The crux for successful quantum computing, on the physical side, is in the design of systems of control for the production of unitary transformations and the production of states that are not affected by decoherence (uncontrolled influence of the environment on the quantum states produced by the computer). Topological quantum computing is one of the most promising designs for making a quantum computer that is resistant to decoherence. In a topological quantum computer, states of matter give rise to quantum states that depend only upon the topological type of trajectories in and configurations of the physical device. This means that such systems are fundamentally insensitive to large scale perturbations. At the present time there are a number of designs for topological quantum computers that are being explored in relation to subtle topological physical effects such as the fractional quantum Hall effect and the properties of Majorana Fermions. It is the purpose of this Special Issue to create a forum for research in topological quantum computers in all aspects of the subject, theoretical and experimental. Papers of high quality are welcome and will be carefully reviewed.


Prof. Louis H. Kauffman
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 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. Condensed Matter 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.


  • geometric topology
  • classical knot theory
  • virtual knot theory
  • higher dimensional knot theory
  • quantum knots
  • topological quantum field theory
  • quantum computing
  • topological quantum computing
  • diagrammatic and categorical approaches to mathematical structure

Published Papers

There is no accepted submissions to this special issue at this moment.
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