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Axioms
Special Issues
Quantum Information, Foundations and Measurement
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Quantum Information, Foundations and Measurement

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

Deadline for manuscript submissions: closed (28 February 2021) | Viewed by 3720

Special Issue Editors

Dr. Takayuki Miyadera

E-Mail Website
Guest Editor
Department of Nuclear Engineering, Kyoto University, Kyoto 6158540, Japan
Interests: foundations of quantum theory; quantum information; mathematical physics
Special Issues, Collections and Topics in MDPI journals
Assoc. Prof. Leon Loveridge

E-Mail Website
Guest Editor
Department of Science and Industry Systems, University of South-Eastern Norway, 3603 Kongsberg, Norway
Interests: foundations of quantum mechanics; quantum information; quantum field theory

Special Issue Information

Dear Colleagues,

Recent years have witnessed mutually beneficial interactions between theoretical ideas arising from quantum information science and developments in the foundations of quantum theory. In this Special Issue, we invite both original and review articles related to mathematical and theoretical aspects of quantum information and foundations, with particular emphasis on their intersection or on quantum measurement. However, we will also be pleased to receive high-quality papers on related topics.

Prof. Dr. Takayuki Miyadera
Prof. Dr. Leon Loveridge
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

  • Axiomatic approaches
  • Operational ideas
  • Incompatibility
  • Quantum non-locality and contextuality
  • Quantum metrology
  • Measurement models
  • Uncertainty relations
  • Quantum reference frames
  • Quantum dynamical systems

Published Papers (2 papers)

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Research

12 pages, 250 KiB  
Article
Dissipative Dynamics of Non-Interacting Fermion Systems and Conductivity
by Kazuki Yamaga
Axioms 2020, 9(4), 128; https://doi.org/10.3390/axioms9040128 - 03 Nov 2020
Cited by 1 | Viewed by 1609
Abstract
In this paper, Non-Equilibrium Steady State that is induced by electric field and the conductivity of non-interacting fermion systems under the dissipative dynamics is discussed. The dissipation is taken into account within a framework of the quantum dynamical semigroup introduced by Davies (1977). [...] Read more.
In this paper, Non-Equilibrium Steady State that is induced by electric field and the conductivity of non-interacting fermion systems under the dissipative dynamics is discussed. The dissipation is taken into account within a framework of the quantum dynamical semigroup introduced by Davies (1977). We obtain a formula of the conductivity for the stationary state, which is applicable to arbitrary potentials. Our formula gives a justification of an adiabatic factor that is often introduced in practical calculation while using the Kubo formula. In addition, the conductivity of crystals (i.e., periodic potentials) is also discussed. Full article
(This article belongs to the Special Issue Quantum Information, Foundations and Measurement)
9 pages, 232 KiB  
Article
Stochastic Process Emerged from Lattice Fermion Systems by Repeated Measurements and Long-Time Limit
by Kazuki Yamaga
Axioms 2020, 9(3), 90; https://doi.org/10.3390/axioms9030090 - 29 Jul 2020
Viewed by 1594
Abstract
It is known that, in quantum theory, measurements may suppress Hamiltonian dynamics of a system. A famous example is the ‘Quantum Zeno Effect’. This is the phenomena that, if one performs the measurements M times asking whether the system is in the same [...] Read more.
It is known that, in quantum theory, measurements may suppress Hamiltonian dynamics of a system. A famous example is the ‘Quantum Zeno Effect’. This is the phenomena that, if one performs the measurements M times asking whether the system is in the same state as the one at the initial time until the fixed measurement time t, then survival probability tends to 1 by taking the limit M→∞. This is the case for fixed measurement time t. It is known that, if one takes measurement time infinite at appropriate scaling, the ‘Quantum Zeno Effect’ does not occur and the effect of Hamiltonian dynamics emerges. In the present paper, we consider the long time repeated measurements and the dynamics of quantum many body systems in the scaling where the effect of measurements and dynamics are balanced. We show that the stochastic process, called the symmetric simple exclusion process (SSEP), is obtained from the repeated and long time measurements of configuration of particles in finite lattice fermion systems. The emerging stochastic process is independent of potential and interaction of the underlying Hamiltonian of the system. Full article
(This article belongs to the Special Issue Quantum Information, Foundations and Measurement)
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