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 2272

Special Issue Editors


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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

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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

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Keywords

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

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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
Cited by 1 | Viewed by 1511
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 xX, 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 xX. 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
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