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Special Issue "Foundations of Quantum Mechanics: Quantum Logic and Quantum Structures"

A special issue of Entropy (ISSN 1099-4300). This special issue belongs to the section "Quantum Information".

Deadline for manuscript submissions: 30 May 2019

Special Issue Editors

Guest Editor
Dr. Federico Holik

Instituto de Física La Plata, UNLP, CONICET, Facultad de Ciencias Exactas, La Plata 1900, Argentina
Interests: foundations of quantum mechanics; quantum information theory; quantum probabilities; quantum logic
Guest Editor
Dr. Gustavo M. Bosyk

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

CONICET - University of Buenos Aires, 3440 Crisólogo Larralde, 1430, Buenos Aires, Argentina
Website | E-Mail
Interests: foundations of statistical mechanics; problem of the arrow of time; interpretation of quantum mechanics; nature of information; philosophy of chemistry
Guest Editor
Dr. Sebastian Fortin

CONICET, Departamento de Física, Universidad de Buenos Aires, Buenos Aires, Argentina
Interests: interpretation of quantum mechanics; quantum decoherence; classical limit of quantum mechanics; quantum information theory

Special Issue Information

Dear Colleagues,

Since its origins, quantum theory posed deep questions with regard to the fundamental problems of physics. During the last few decades, the advent of quantum information theory and the possibility of developing quantum computers, gave rise to a renewed interest in foundational issues. Research in the foundations of quantum mechanics was particularly influenced by the development of novel laboratory techniques, allowing for the experimental verification of the most debated aspects of the quantum formalism.

The VIII Conference on Quantum Foundations (https://sites.google.com/view/viiijfc), to be held during 21–23 November, 2018, at the CAECE University, Buenos Aires, Argentina, aims to gather experts in the field to promote academic debate on the foundational problems of quantum theory. This Special Issue captures the main aspects of this debate by incorporating a selected list of contributions presented at the conference. Researchers not attending the conference are also welcome to present their original and recent developments, as well as review papers, on the topics listed below. All contributions will be peer-reviewed.

Topics of the Special Issue:

  • Quantum Information Science
  • Quantum Statistical Mechanics
  • Information Measures in Quantum Theory
  • Quantum Correlations
  • Uncertainty relations
  • Geometrical Methods Applied to Quantum Theory
  • Violation of Bell Inequalities
  • Quantum Probabilities
  • Decoherence and Classical Limit
  • Quantum Computing
  • Interpretations of Quantum Mechanics
  • Quantum Contextuality
  • Quantum Indistinguishability
  • Quantum Logic
  • Algebraic Methods in Quantum Theory
  • Hidden Variable Theories
  • Non-linear Methods Applied to Quantum Theory
  • Foundations of Relativistic Quantum Mechanics

Dr. Olimpia Lombardi
Dr. Sebastian Fortin
Dr. Federico Holik
Dr. Gustavo M. Bosyk
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. Entropy 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 1600 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.


  • quantum logic
  • quantum correlations
  • uncertainty relations
  • quantum probabilities
  • decoherence and classical limit
  • quantum computing
  • interpretations of quantum mechanics
  • quantum contextuality
  • quantum indistinguishability
  • hidden variable theories

Published Papers (1 paper)

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Open AccessArticle Quantum Correlation Based on Uhlmann Fidelity for Gaussian States
Entropy 2019, 21(1), 6; https://doi.org/10.3390/e21010006
Received: 20 September 2018 / Revised: 14 December 2018 / Accepted: 19 December 2018 / Published: 22 December 2018
PDF Full-text (2420 KB) | HTML Full-text | XML Full-text
A quantum correlation NFG,A for (n+m)-mode continuous-variable systems is introduced in terms of local Gaussian unitary operations performed on Subsystem A based on Uhlmann fidelity F. This quantity is a remedy for the [...] Read more.
A quantum correlation N F G , A for ( n + m ) -mode continuous-variable systems is introduced in terms of local Gaussian unitary operations performed on Subsystem A based on Uhlmann fidelity F. This quantity is a remedy for the local ancilla problem associated with the geometric measurement-induced correlations; is local Gaussian unitary invariant; is non-increasing under any Gaussian quantum channel performed on Subsystem B;and is an entanglement monotone when restricted to pure Gaussian states in the ( 1 + m ) -mode case. A concrete formula for ( 1 + 1 ) -mode symmetric squeezed thermal states (SSTSs) is presented. We also compare N F G , A with other quantum correlations in scale, such as Gaussian quantum discord and Gaussian geometric discord, for two-mode SSTSs, which reveals that N F G , A has some advantage in detecting quantum correlations of Gaussian states. Full article

Figure 1

Planned Papers

The below list represents only planned manuscripts. Some of these manuscripts have not been received by the Editorial Office yet. Papers submitted to MDPI journals are subject to peer-review.

Tentative Title: Connections Between Energy, Entanglement,  and Quantum Evolution Suggested by A  Timeless Perspective
Authors: A. P. Majtey, A. Valdés-Hernández, C. G. Maglione, and A. R. Plastino
Abstract: We explore diverse features of a set  of relations between entanglement,  energy, and quantum evolution, that can be interpreted as entropic  energy-time uncertainty relations. These relations  arise naturally within the timeless point of view advocated by Page and Wootters , but they can  be formulated and interpreted independently  of that approach.


Tentative Title: Classical and Quantum Degrees of Truth: A New Look at the Effects of A Hilbert Space
Authors: R. Giuntini
Abstract: In this paper, we will investigate the algebraic properties of the structure $\para{\mathcal E(\mathcal H)\,,\,\le_s\,,\,'\,,\,^\sim\,,\mathbb O\,,\mathbb I}$ and we will introduce a new class of

BZ-lattices (called $BZ^\ast-lattices$) that represents a quite faithful abstraction of the concrete model based on $\mathcal E(\mathcal H)$. Interestingly enough, in the framework of BZ$^\ast$-lattices different abstract notions of ``unsharpness'' collapse into the one and the same concept, similarly to what happens in the concrete BZ$^\ast$-lattices of all effects.


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