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Entropy
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Entropy in Classical and Quantum Information Theory with Applications
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Entropy in Classical and Quantum Information Theory with Applications

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

Deadline for manuscript submissions: 31 March 2025 | Viewed by 2608

Special Issue Editors

Dr. Dominik Szczęśniak

E-Mail Website
Guest Editor
Institute of Physics, Faculty of Science and Technology, Jan Długosz University in Częstochowa, 13/15 Armii Krajowej Ave., 42200 Częstochowa, Poland
Interests: entropy measures; classical and quantum information theory; quantum transport; superconductivity; econophysics
Prof. Dr. Sabre Kais

E-Mail Website
Guest Editor
Department of Chemistry and Electrical and Computer Engineering, College of Science, Purdue University, West Lafayette, IN, USA
Interests: quantum information; quantum computing; quantum algorithms; quantum phase transitions; quantum machine learning
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

The concept of entropy is at the core of both classical and quantum information theory, allowing us to quantify uncertainty in data via various related measures. That is, entropy not only governs the way in which we perceive information but also how information is communicated and processed. As such, it plays a key role in addressing problems that span diverse fields, from physics and chemistry to finance and medicine, constituting a foundation for multiple scientific and technological developments. Of particular importance in this regard is the incorporation of entropy measures into the emerging technologies of artificial intelligence and quantum computing. This Special Issue invites original contributions to the above intriguing and evolving field. In particular, its scope covers all fundamental aspects of various entropy measures at the classical and quantum levels, along with the corresponding applications.

Dr. Dominik Szczęśniak
Prof. Dr. Sabre Kais
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. 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 2600 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

  • entropy
  • entropy measures
  • information theory
  • quantum information

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Published Papers (3 papers)

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Research

15 pages, 726 KiB  
Article
W-Class States—Identification and Quantification of Bell-CHSH Inequalities’ Violation
by Joanna K. Kalaga, Wiesław Leoński and Jan Peřina, Jr.
Entropy 2024, 26(12), 1107; https://doi.org/10.3390/e26121107 - 18 Dec 2024
Cited by 1 | Viewed by 619
Abstract
We discuss a family of W-class states describing three-qubit systems. For such systems, we analyze the relations between the entanglement measures and the nonlocality parameter for a two-mode mixed state related to the two-qubit subsystem. We find the conditions determining the boundary values [...] Read more.
We discuss a family of W-class states describing three-qubit systems. For such systems, we analyze the relations between the entanglement measures and the nonlocality parameter for a two-mode mixed state related to the two-qubit subsystem. We find the conditions determining the boundary values of the negativity, parameterized by concurrence, for violating the Bell-CHSH inequality. Additionally, we derive the value ranges of the mixedness measure, parameterized by concurrence and negativity for the qubit–qubit mixed state, guaranteeing the violation and non-violation of the Bell-CHSH inequality. Full article
(This article belongs to the Special Issue Entropy in Classical and Quantum Information Theory with Applications)
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14 pages, 2050 KiB  
Article
The Thermodynamics of the Van Der Waals Black Hole Within Kaniadakis Entropy
by Adam Z. Kaczmarek, Yassine Sekhmani, Dominik Szczȩśniak and Javlon Rayimbaev
Entropy 2024, 26(12), 1027; https://doi.org/10.3390/e26121027 - 27 Nov 2024
Viewed by 621
Abstract
In this work, we have studied the thermodynamic properties of the Van der Waals black hole in the framework of the relativistic Kaniadakis entropy. We have shown that the black hole properties, such as the mass and temperature, differ from those obtained by [...] Read more.
In this work, we have studied the thermodynamic properties of the Van der Waals black hole in the framework of the relativistic Kaniadakis entropy. We have shown that the black hole properties, such as the mass and temperature, differ from those obtained by using the the Boltzmann–Gibbs approach. Moreover, the deformation κ-parameter changes the behavior of the Gibbs free energy via introduced thermodynamic instabilities, whereas the emission rate is influenced by κ only at low frequencies. Nonetheless, the pressure–volume (P(V)) characteristics are found independent of κ and the entropy form, unlike in other anti-de Sitter (AdS) black hole models. In summary, the presented findings partially support the previous arguments of Gohar and Salzano that, under certain circumstances, all entropic models are equivalent and indistinguishable. Full article
(This article belongs to the Special Issue Entropy in Classical and Quantum Information Theory with Applications)
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9 pages, 815 KiB  
Article
Prepare Linear Distributions with Quantum Arithmetic Units
by Junxu Li
Entropy 2024, 26(11), 912; https://doi.org/10.3390/e26110912 - 28 Oct 2024
Viewed by 827
Abstract
Quantum arithmetic logic units (QALUs) perform essential arithmetic operations within a quantum framework, serving as the building blocks for more complex computations and algorithms in quantum computing. In this paper, we present an approach to prepare linear probability distributions with quantum full adders. [...] Read more.
Quantum arithmetic logic units (QALUs) perform essential arithmetic operations within a quantum framework, serving as the building blocks for more complex computations and algorithms in quantum computing. In this paper, we present an approach to prepare linear probability distributions with quantum full adders. There are three main steps. Firstly, Hadamard gates are applied to the two input terms, preparing them at quantum states corresponding to uniform distribution. Next, the two input terms are summed up by applying quantum full adder, and the output sum is treated as a signed integer under two’s complement representation. By the end, additional phase −1 is introduced to the negative components. Additionally, we can discard either the positive or negative components with the assistance of the Repeat-Until-Success process. Our work demonstrates a viable approach to prepare linear probability distributions with quantum adders. The resulting state can serve as an intermediate step for subsequent quantum operations. Full article
(This article belongs to the Special Issue Entropy in Classical and Quantum Information Theory with Applications)
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