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Axioms
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Editorial Board Members' Collection Series: Quantum Information Theory
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Editorial Board Members' Collection Series: Quantum Information Theory

A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Physics".

Deadline for manuscript submissions: closed (30 June 2023) | Viewed by 1314

Special Issue Editors

Prof. Dr. Cristian S. Calude

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Guest Editor
Department of Computer Science, University of Auckland, Auckland, New Zealand
Interests: algorithmic information theory; quantum computing
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Karl Svozil

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Guest Editor
Institut für Theoretische Physik, Technische Universität Wien, Vienna, Austria
Interests: quantum logic; automaton logic; conventionality in relativity theory; intrinsic embedded observers; physical (in)determinism; physical random number generators; generalized probability theory
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

This Special Issue will collect feature papers on quantum information theory selected by the Editorial Board Members in the Section of Mathematical Physics and other excellent scholars in related areas. Since its inception, the idea of utilizing quantum mechanics to process information has grown from computing and communication to encompass diverse topics such as sensing and simulations in physics, randomness, biology, and chemistry.

The purpose of this Special Issue is to gather articles presenting recent research on quantum information theory. The contribution should underline the mathematical problem and the solution. Relevant industrial applications are also welcome.

Prof. Dr. Cristian S. Calude
Prof. Dr. Karl Svozil
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. Axioms 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 2400 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.

Keywords

  • quantum information theory
  • quantum probability and information
  • quantum algorithms and complexity
  • quantum computing
  • quantum randomness
  • quantum advantage
  • quantum security

Published Papers (1 paper)

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Review

27 pages, 490 KiB  
Review
Typical = Random
by Klaas Landsman
Axioms 2023, 12(8), 727; https://doi.org/10.3390/axioms12080727 - 27 Jul 2023
Viewed by 802
Abstract
This expository paper advocates an approach to physics in which “typicality” is identified with a suitable form of algorithmic randomness. To this end various theorems from mathematics and physics are reviewed. Their original versions state that some property Φ(x) holds [...] Read more.
This expository paper advocates an approach to physics in which “typicality” is identified with a suitable form of algorithmic randomness. To this end various theorems from mathematics and physics are reviewed. Their original versions state that some property Φ(x) holds for P-almost all x∈X, where P is a probability measure on some space X. Their more refined (and typically more recent) formulations show that Φ(x) holds for all P-random x∈X. The computational notion of P-randomness used here generalizes the one introduced by Martin-Löf in 1966 in a way now standard in algorithmic randomness. Examples come from probability theory, analysis, dynamical systems/ergodic theory, statistical mechanics, and quantum mechanics (especially hidden variable theories). An underlying philosophical theme, inherited from von Mises and Kolmogorov, is the interplay between probability and randomness, especially: which comes first? Full article
(This article belongs to the Special Issue Editorial Board Members' Collection Series: Quantum Information Theory)
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