Special Issue "Foundations of Quantum Computing"

A special issue of Axioms (ISSN 2075-1680).

Deadline for manuscript submissions: 31 January 2020

Special Issue Editors

Guest Editor
Dr. Gustavo M. Bosyk

Instituto de Física La Plata, CONICET 115 y 49, (1900) La Plata, Argentina
E-Mail
Interests: quantum information processing; quantum correlations; uncertainty relations; majorization theory and its applications
Guest Editor
Dr. Federico Holik

Instituto de Física La Plata, UNLP, CONICET, Facultad de Ciencias Exactas, La Plata 1900, Argentina
E-Mail
Interests: foundations of quantum mechanics; quantum information theory; quantum probabilities; quantum logic

Special Issue Information

Dear Colleagues,

The advent of quantum information theory and the possibility of developing quantum computers gave rise to a rich and multidisciplinary field of research, gathering experts from physics, computer science, mathematics and logic. The LoCIC network, that connects experts from different countries of the South American region (for more information, visit the website: http://locic.web.unq.edu.ar/en/), aims to promote academic debate in all areas of quantum information processing, by organizing regular local meetings on the subject open to researchers and students as well. This peer-reviewed Special Issue is part of that effort and is focused in both, the mathematical and physical foundations of quantum computing. Researchers are welcome to present their original and recent developments, as well as review papers, on the topics listed below.

Topics of the Special Issue:

  • Foundations of Quantum Computing
  • Quantum Information Theory
  • Quantum Algorithms
  • Computational Logic
  • Mathematical Logic
  • Lambda Calculus and Type Theory
  • Logical Frameworks
  • Domain Theory and Categorical Models
  • Quantum Communication
  • Quantum Correlations
  • Uncertainty relations
  • Violation of Bell Inequalities
  • Decoherence and Classical Limit
  • Quantum Contextuality
  • Quantum Logic

Dr. Gustavo M. Bosyk
Dr. Federico Holik
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 papers will be 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 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 350 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.

Published Papers (3 papers)

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Research

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Open AccessArticle
A Quantum Adiabatic Algorithm for Multiobjective Combinatorial Optimization
Received: 14 November 2018 / Revised: 26 February 2019 / Accepted: 1 March 2019 / Published: 9 March 2019
PDF Full-text (436 KB) | HTML Full-text | XML Full-text
Abstract
In this work we show how to use a quantum adiabatic algorithm to solve multiobjective optimization problems. For the first time, we demonstrate a theorem proving that the quantum adiabatic algorithm can find Pareto-optimal solutions in finite-time, provided some restrictions to the problem [...] Read more.
In this work we show how to use a quantum adiabatic algorithm to solve multiobjective optimization problems. For the first time, we demonstrate a theorem proving that the quantum adiabatic algorithm can find Pareto-optimal solutions in finite-time, provided some restrictions to the problem are met. A numerical example illustrates an application of the theorem to a well-known problem in multiobjective optimization. This result opens the door to solve multiobjective optimization problems using current technology based on quantum annealing. Full article
(This article belongs to the Special Issue Foundations of Quantum Computing)
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Open AccessArticle
A Logic for Quantum Register Measurements
Received: 7 November 2018 / Accepted: 19 February 2019 / Published: 24 February 2019
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Abstract
We know that quantum logics are the most prominent logical systems associated to the lattices of closed Hilbert subspaces. However, what happen if, following a quantum computing perspective, we want to associate a logic to the process of quantum registers measurements? This paper [...] Read more.
We know that quantum logics are the most prominent logical systems associated to the lattices of closed Hilbert subspaces. However, what happen if, following a quantum computing perspective, we want to associate a logic to the process of quantum registers measurements? This paper gives an answer to this question, and, quite surprisingly, shows that such a logic is nothing else that the standard propositional intuitionistic logic. Full article
(This article belongs to the Special Issue Foundations of Quantum Computing)
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Other

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Open AccessLetter
Doily as Subgeometry of a Set of Nonunimodular Free Cyclic Submodules
Received: 31 January 2019 / Revised: 28 February 2019 / Accepted: 2 March 2019 / Published: 4 March 2019
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Abstract
In this paper, it is shown that there exists a particular associative ring with unity of order 16 such that the relations between non-unimodular free cyclic submodules of its two-dimensional free left module can be expressed in terms of the structure of the [...] Read more.
In this paper, it is shown that there exists a particular associative ring with unity of order 16 such that the relations between non-unimodular free cyclic submodules of its two-dimensional free left module can be expressed in terms of the structure of the generalized quadrangle of order two. Such a doily-centered geometric structure is surmised to be of relevance for quantum information. Full article
(This article belongs to the Special Issue Foundations of Quantum Computing)
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