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Entropy, Volume 27, Issue 6

2025 June - 108 articles

Cover Story: This cover illustrates the quantum Mpemba effect in open quantum systems, where two distinct initial states—entangled photon–atom configurations in a cavity QED setup—relax toward equilibrium along different paths. The colorful trajectory shows how interference between non-orthogonal decay modes can lead to surprising behavior, i.e., a state closer to equilibrium may relax more slowly than one farther away. This highlights how non-reciprocal couplings, radiative dissipation, and directional interactions shape anomalous early-time dynamics, expanding our view of quantum relaxation. View this paper
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Articles (108)

  • Feature Paper
  • Article
  • Open Access
1,619 Views
23 Pages

18 June 2025

The problem of combining statistical evidence concerning an unknown, contained in each of the k Bayesian inference bases, is discussed. This can be considered as being related to the problem of pooling k priors to determine a consensus prior, but the...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
3 Citations
2,347 Views
29 Pages

Error-Constrained Entropy-Minimizing Strategies for Multi-UAV Deception Against Networked Radars

  • Honghui Ban,
  • Jifei Pan,
  • Zheng Wang,
  • Rui Cui and ,
  • Yuting Ming and
  • Qiuxi Jiang
  • + 1 author+ 0 author

18 June 2025

In complex electromagnetic environments, spatial coupling uncertainties—position errors and timing jitter—increase false target information entropy, reducing strategy effectiveness and posing challenges for robust UAV swarm track deceptio...

(This article belongs to the Section Multidisciplinary Applications)
  • Article
  • Open Access
1,777 Views
11 Pages

18 June 2025

We built a discrete model that simulates the ubiquitous competition between the free internal evolution of a two-level system and the decoherence induced by the interaction with its surrounding environment. It is aimed at being as universal as possib...

(This article belongs to the Section Astrophysics, Cosmology, and Black Holes)
  • Feature Paper
  • Article
  • Open Access
5 Citations
2,711 Views
14 Pages

Extended Blahut–Arimoto Algorithm for Semantic Rate-Distortion Function

  • Yuxin Han,
  • Yang Liu,
  • Yaping Sun,
  • Kai Niu and ,
  • Nan Ma,
  • Shuguang Cui and
  • Ping Zhang
  • + 2 authors+ 0 author

18 June 2025

Semantic communication has recently gained significant attention in theoretical analysis due to its potential to improve communication efficiency by focusing on meaning rather than exact signal reconstruction. In this paper, we extend the Blahut&ndas...

(This article belongs to the Special Issue Semantic Information Theory)
  • Article
  • Open Access
4 Citations
2,570 Views
20 Pages

18 June 2025

Recently, free-space optical (FSO) communication systems utilizing unmanned aerial vehicle (UAV) relays have garnered significant attention. Integrating UAV relays into FSO communication and employing cooperative diversity techniques not only fulfill...

(This article belongs to the Special Issue Wireless Communications: Signal Processing Perspectives, 2nd Edition)
  • Article
  • Open Access
4 Citations
2,378 Views
26 Pages

Finite-Time Thermodynamics: Problems, Approaches, and Results

  • Anatoly M. Tsirlin,
  • Alexander I. Balunov and
  • Ivan A. Sukin

17 June 2025

In this manuscript, the typical problems of “finite-time thermodynamics”, their general methodology, and the general features of their solutions are considered. We also consider the role of minimal dissipation processes, the properties of...

(This article belongs to the Special Issue The First Half Century of Finite-Time Thermodynamics)
  • Article
  • Open Access
3 Citations
1,578 Views
18 Pages

Lipschitz-Nonlinear Heterogeneous Multi-Agent Adaptive Distributed Time-Varying Formation-Tracking Control with Jointly Connected Topology

  • Ling Zhu,
  • Yuyi Huang,
  • Yandong Li,
  • Hui Cai and ,
  • Wei Zhao,
  • Xu Liu and
  • Yuan Guo
  • + 2 authors+ 0 author

17 June 2025

This paper studies the problem of time-varying formation-tracking control for a class of nonlinear multi-agent systems. A distributed adaptive controller that avoids the global non-zero minimum eigenvalue is designed for heterogeneous systems in whic...

(This article belongs to the Section Complexity)
  • Article
  • Open Access
3 Citations
1,342 Views
10 Pages

Synchronizations in Complex Systems Dynamics Through a Multifractal Procedure

  • Vlad Ghizdovat,
  • Diana Carmen Mirila,
  • Florin Nedeff,
  • Dragos Ioan Rusu and ,
  • Oana Rusu,
  • Maricel Agop and
  • Decebal Vasincu
  • + 2 authors+ 0 author

17 June 2025

The dynamics of complex systems often exhibit multifractal properties, where interactions across different scales influence their evolution. In this study, we apply the Multifractal Theory of Motion within the framework of scale relativity theory to...

(This article belongs to the Special Issue Nonlinear Dynamics of Complex Systems)
  • Feature Paper
  • Article
  • Open Access
2 Citations
1,600 Views
20 Pages

Exploring Numerical Correlations: Models and Thermodynamic Kappa

  • Nicholas V. Sarlis,
  • David J. McComas and
  • George Livadiotis

17 June 2025

McComas et al. (2025) introduced a numerical experiment, where ordinary uncorrelated collisions between collision pairs are followed by other, controlled (correlated) collisions, shedding light on the emergence of kappa distributions through particle...

(This article belongs to the Collection Foundations of Statistical Mechanics)
  • Article
  • Open Access
3 Citations
2,338 Views
13 Pages

Attention-Based Batch Normalization for Binary Neural Networks

  • Shan Gu,
  • Guoyin Zhang,
  • Chengwei Jia and
  • Yanxia Wu

17 June 2025

Batch normalization (BN) is crucial for achieving state-of-the-art binary neural networks (BNNs). Unlike full-precision neural networks, BNNs restrict activations to discrete values {−1,1}, which requires a renewed understanding and research of...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Review
  • Open Access
15 Citations
5,703 Views
26 Pages

Information Theory Meets Quantum Chemistry: A Review and Perspective

  • Yilin Zhao,
  • Dongbo Zhao,
  • Chunying Rong,
  • Shubin Liu and
  • Paul W. Ayers

16 June 2025

In this survey, we begin with a concise introduction to information theory within Shannon’s framework, focusing on the key concept of Shannon entropy and its related quantities: relative entropy, joint entropy, conditional entropy, and mutual i...

(This article belongs to the Special Issue The Information-Theoretic Approach in Density Functional Theory and Beyond)
  • Feature Paper
  • Article
  • Open Access
4 Citations
1,745 Views
30 Pages

16 June 2025

This paper introduces and explores a novel class of Brown and Levy steady-state motions. These motions generalize, respectively, the Ornstein-Uhlenbeck process (OUP) and the Levy-driven OUP. As the OUP and the Levy-driven OUP: the motions are Markov;...

(This article belongs to the Collection Advances in Applied Statistical Mechanics)
  • Article
  • Open Access
1 Citations
845 Views
9 Pages

16 June 2025

This article presents a stochastic model for the effect of interference caused by a sudden increase in the number of users that access a 4 QAM digital communication system. As demonstrated, the rapid increase in the number of users that access the sy...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
1 Citations
4,964 Views
35 Pages

Efficient Learning-Based Robotic Navigation Using Feature-Based RGB-D Pose Estimation and Topological Maps

  • Eder A. Rodríguez-Martínez,
  • Jesús Elías Miranda-Vega,
  • Farouk Achakir,
  • Oleg Sergiyenko and ,
  • Julio C. Rodríguez-Quiñonez,
  • Daniel Hernández Balbuena and
  • Wendy Flores-Fuentes
  • + 2 authors+ 0 author

15 June 2025

Robust indoor robot navigation typically demands either costly sensors or extensive training data. We propose a cost-effective RGB-D navigation pipeline that couples feature-based relative pose estimation with a lightweight multi-layer-perceptron (ML...

(This article belongs to the Special Issue Application of Information Theory to Computer Vision and Image Processing, 3rd Edition)
  • Article
  • Open Access
3 Citations
3,427 Views
20 Pages

Analysis and Research on Spectrogram-Based Emotional Speech Signal Augmentation Algorithm

  • Huawei Tao,
  • Sixian Li,
  • Xuemei Wang,
  • Binkun Liu and
  • Shuailong Zheng

15 June 2025

Data augmentation techniques are widely applied in speech emotion recognition to increase the diversity of data and enhance the performance of models. However, existing research has not deeply explored the impact of these data augmentation techniques...

  • Article
  • Open Access
1,520 Views
12 Pages

15 June 2025

This study introduces a simple model, which can be used to examine the influence of reputation on expected income achieved within the Iterated Prisoner’s Dilemma (IPD) game framework. The research explores how different reputation distributions...

(This article belongs to the Collection Social Sciences)
  • Article
  • Open Access
2,340 Views
14 Pages

Fisher Information and the Dynamics of Multicellular Ageing

  • Zachary F. Hale,
  • Gonzalo A. Cánez and
  • Thomas C. T. Michaels

15 June 2025

Information theory has long been integrated into the study of biological ageing, for example, in examining the roles of genetic and epigenetic fidelity in cellular and organismal longevity. Here, we introduce a theoretical model that interprets agein...

(This article belongs to the Collection Disorder and Biological Physics)
  • Article
  • Open Access
3 Citations
2,832 Views
24 Pages

14 June 2025

The detection of weak moving targets in heterogeneous clutter backgrounds is a significant challenge in radar systems. In this paper, we propose a track-before-detect (TBD) method based on information geometry (IG) theory applied to range-azimuth mea...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Feature Paper
  • Article
  • Open Access
1,335 Views
14 Pages

Measurement-Induced Dynamical Quantum Thermalization

  • Marvin Lenk,
  • Sayak Biswas,
  • Anna Posazhennikova and
  • Johann Kroha

14 June 2025

One of the fundamental problems of quantum statistical physics is how an ideally isolated quantum system can ever reach thermal equilibrium behavior despite the unitary time evolution of quantum-mechanical systems. Here, we study, via explicit time e...

(This article belongs to the Section Non-equilibrium Phenomena)
  • Article
  • Open Access
7 Citations
4,038 Views
37 Pages

14 June 2025

We propose the financial generative adversarial network–bidirectional long short-term memory (FINGAN-BiLSTM) model to accurately reproduce the complex statistical properties and stylized facts, namely, heavy-tailed behavior, volatility clusteri...

(This article belongs to the Special Issue Entropy, Artificial Intelligence and the Financial Markets)
  • Article
  • Open Access
1 Citations
1,543 Views
17 Pages

14 June 2025

Identifying influential nodes in complex networks is essential for a wide range of applications, from social network analysis to enhancing infrastructure resilience. While quantum walk-based methods offer potential advantages, existing approaches fac...

(This article belongs to the Special Issue Quantum Information and Quantum Computation)
  • Article
  • Open Access
6 Citations
2,117 Views
16 Pages

13 June 2025

Insulator defect detection is important in ensuring power systems’ safety and stable operation. To solve the problems of its low accuracy, high delay, and large model size in complex environments, following the principle of progressive extracti...

(This article belongs to the Section Signal and Data Analysis)
  • Article
  • Open Access
9 Citations
2,121 Views
23 Pages

A Novel Alpha-Power X Family: A Flexible Framework for Distribution Generation with Focus on the Half-Logistic Model

  • A. A. Bhat,
  • Aadil Ahmad Mir,
  • S. P. Ahmad,
  • Badr S. Alnssyan and ,
  • Abdelaziz Alsubie and
  • Yashpal Singh Raghav
  • + 1 author+ 0 author

13 June 2025

This study introduces a new and flexible class of probability distributions known as the novel alpha-power X (NAP-X) family. A key development within this framework is the novel alpha-power half-logistic (NAP-HL) distribution, which extends the class...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
4 Citations
987 Views
10 Pages

13 June 2025

The current study is motivated by a difficulty in reconciling between particle number conservation and superconductivity. An alternative modeling, which is based on the hypothesis that disentanglement spontaneously ocuurs in quantum systems, is explo...

(This article belongs to the Special Issue Quantum Entanglement—Second Edition)
  • Article
  • Open Access
2,133 Views
13 Pages

13 June 2025

A homodyne detector, which is also a common element in current telecommunication, is a core component of continuous-variable quantum key distribution (CV-QKD) since it is considered the simplest setup for the distinguishing of coherent states with mi...

(This article belongs to the Special Issue Recent Advances in Continuous-Variable Quantum Key Distribution)
  • Article
  • Open Access
3 Citations
2,231 Views
17 Pages

Layered HARQ Design for LDPC-Based Multi-Level Coded Modulation

  • Yuejun Wei,
  • Yue Chen,
  • Chunqi Chen,
  • Bin Xia and
  • Liandong Wang

13 June 2025

Multi-level coded modulation (MLCM) enhances data transmission by allocating error correction more effectively to bits with higher error probabilities, thus optimizing redundancy and improving performance. Despite MLCM’s advantages over traditi...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
1,599 Views
12 Pages

13 June 2025

Arguably, the most fundamental problem in Network Science is finding structure within a complex network. Often, this is achieved by partitioning the network’s nodes into communities in a way that maximizes an objective function. However, findin...

(This article belongs to the Section Complexity)
  • Feature Paper
  • Article
  • Open Access
1 Citations
1,521 Views
13 Pages

13 June 2025

Restricted Boltzmann machines (RBMs) have demonstrated considerable success as variational quantum states; however, their representational power remains incompletely understood. In this work, we present an analytical proof that RBMs can exactly and e...

(This article belongs to the Special Issue Quantum Information and Quantum Computation)
  • Article
  • Open Access
3 Citations
2,253 Views
26 Pages

Threshold Successive Cancellation Flip Decoding Algorithm for Polar Codes: Design and Performance

  • Zhicheng Liu,
  • Liuquan Yao,
  • Shuai Yuan,
  • Guiying Yan and ,
  • Zhiming Ma and
  • Yuting Liu
  • + 1 author+ 0 author

12 June 2025

In this paper, we propose the threshold successive cancellation flip (Th-SCF) decoding algorithm for polar codes, which enhances the performance of the SC decoder while maintaining low complexity. Theoretical analysis reveals that Th-SCF asymptotical...

(This article belongs to the Special Issue Network Information Theory and Its Applications)
  • Article
  • Open Access
2 Citations
2,279 Views
22 Pages

12 June 2025

The performance of a quantum Otto engine is analyzed with regard to the constraints on the modulation of energy gaps relative to the changes in probability distributions at the two given heat reservoirs. We performed a detailed analysis with a generi...

(This article belongs to the Special Issue Advances in Quantum Thermodynamics)
  • Article
  • Open Access
5 Citations
1,991 Views
20 Pages

12 June 2025

This paper discusses the results of a study investigating how input data characteristics affect the performance of time-series classification models. In this experiment, we used 82 synthetically generated time-series datasets, created based on predef...

(This article belongs to the Section Signal and Data Analysis)
  • Article
  • Open Access
1,204 Views
15 Pages

12 June 2025

Topological transitions are relevant for boundary conditions. Therefore, we investigate the bulk spectra, edge states, and topological phases of Szegedy’s quantum search on a one-dimensional (1D) cycle with self-loops, where the search operator...

(This article belongs to the Special Issue Entanglement Entropy and Quantum Phase Transition)
  • Article
  • Open Access
7 Citations
2,677 Views
24 Pages

11 June 2025

Faced with challenges posed by sophisticated cyber attacks and dynamic characteristics of cyberspace, the autonomous cyber defense (ACD) technology has shown its effectiveness. However, traditional decision-making methods for ACD are unable to effect...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
3 Citations
1,788 Views
32 Pages

The Method of Types for the AWGN Channel

  • Sergey Tridenski and
  • Anelia Somekh-Baruch

11 June 2025

For the discrete-time AWGN channel with a power constraint, we give an alternative derivation for the sphere-packing upper bound on the optimal block error exponent and an alternative derivation for the analogous lower bound on the optimal correct-de...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Feature Paper
  • Article
  • Open Access
1 Citations
1,435 Views
29 Pages

Soft Classification in a Composite Source Model

  • Yuefeng Cao,
  • Jiakun Liu and
  • Wenyi Zhang

11 June 2025

A composite source model consists of an intrinsic state and an extrinsic observation. The fundamental performance limit of reproducing the intrinsic state is characterized by the indirect rate–distortion function. In a remote classification app...

(This article belongs to the Special Issue Semantic Information Theory)
  • Article
  • Open Access
1,720 Views
20 Pages

Kinetic Monte Carlo Modeling of the Spontaneous Deposition of Platinum on Au(111) Surfaces

  • María Cecilia Gimenez,
  • Oscar A. Oviedo and
  • Ezequiel P. M. Leiva

11 June 2025

The spontaneous deposition of platinum (Pt) atoms on Au(111) surfaces is systematically investigated through kinetic Monte Carlo simulations within the Embedded Atom Model framework. The kinetic model aims to capture both stoichiometric, atomic-scale...

(This article belongs to the Special Issue Statistical Mechanics of Lattice Gases)
  • Article
  • Open Access
3 Citations
1,461 Views
22 Pages

11 June 2025

A graph’s minimum cycle basis is defined as the smallest collection of cycles that exhibit linear independence in the cycle space, serving as fundamental building blocks for constructing any cyclic structure within the graph. These bases are us...

(This article belongs to the Section Complexity)
  • Article
  • Open Access
3 Citations
4,802 Views
39 Pages

10 June 2025

Currently, the global technological competition pattern is accelerating its restructuring, and chip technology, as a core technology for national strategic security and industrial competition, faces a serious bottleneck that seriously restricts the c...

(This article belongs to the Section Complexity)
  • Article
  • Open Access
3 Citations
4,656 Views
37 Pages

9 June 2025

Entanglement swapping is a crucial step in quantum communication, generating long-distance entanglements between quantum users for quantum network applications, such as distributed quantum computing. This study focuses on the efficiency of entangleme...

(This article belongs to the Section Quantum Information)
  • Article
  • Open Access
2 Citations
1,289 Views
26 Pages

LSE-CVCNet: A Generalized Stereoscopic Matching Network Based on Local Structural Entropy and Multi-Scale Fusion

  • Wenbang Yang,
  • Yong Zhao,
  • Ye Gu,
  • Lu Huang and ,
  • Jianhua Li and
  • Jianchuan Zhao
  • + 1 author+ 0 author

9 June 2025

This study presents LSE-CVCNet, a novel stereo matching network designed to resolve challenges in dynamic scenes, including dynamic feature misalignment caused by texture variability and contextual ambiguity from occlusions. By integrating three key...

(This article belongs to the Section Multidisciplinary Applications)
  • Article
  • Open Access
1 Citations
2,294 Views
17 Pages

9 June 2025

We analyze long-range dependence (LRD) for word time series, understood as a slower than exponential decay of the two-point Shannon mutual information. We achieve this by examining the decay of the cosine correlation, a proxy object defined in terms...

(This article belongs to the Special Issue Complexity Characteristics of Natural Language)
  • Feature Paper
  • Article
  • Open Access
3 Citations
2,247 Views
25 Pages

9 June 2025

The paper considers an extended interpretation of the second law of thermodynamics and its implications to power conversion optimization in multidomain systems. First, a generalized, domain-independent version of the classical Gouy-Stodola theorem is...

(This article belongs to the Section Thermodynamics)
  • Article
  • Open Access
8 Citations
3,577 Views
25 Pages

9 June 2025

We discuss the spread of epidemics caused by two viruses which cannot infect the same individual at the same time. The mathematical modeling of this epidemic leads to a kind of SIIRR model with two groups of infected individuals and two groups of rec...

(This article belongs to the Special Issue Aspects of Social Dynamics: Models and Concepts)
  • Feature Paper
  • Article
  • Open Access
2 Citations
1,457 Views
15 Pages

7 June 2025

Ordinal patterns have proven to be a valuable tool in many fields. Here, we address the need for theoretical models. A paradigmatic example shows that a model for frequencies of ordinal patterns can be determined without any numerical values. We spec...

(This article belongs to the Special Issue Ordinal Patterns-Based Tools and Their Applications)
  • Article
  • Open Access
8 Citations
3,537 Views
14 Pages

7 June 2025

A discrete time crystal (DTC) is a remarkable non-equilibrium phase of matter characterized by the persistent sub-harmonic oscillations of physical observables in periodically driven many-body systems. Motivated by the question of whether such a temp...

(This article belongs to the Section Non-equilibrium Phenomena)
  • Article
  • Open Access
1,609 Views
26 Pages

7 June 2025

This paper introduces a functional framework for modeling cyclical and feedback-driven information flow using a generalized family of derangetropy operators. In contrast to scalar entropy measures such as Shannon entropy, these operators act directly...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
1,044 Views
15 Pages

6 June 2025

The performance limitations of single-sensor systems in target tracking have led to the widespread adoption of multi-sensor fusion, which improves accuracy through information complementarity and redundancy. However, on mobile platforms, dynamic chan...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
22 Citations
3,705 Views
28 Pages

Robust Image Encryption with 2D Hyperchaotic Map and Dynamic DNA-Zigzag Encoding

  • Haijun Zhang,
  • Xiaojiao Liu,
  • Kehan Chen,
  • Rigen Te and
  • Fei Yan

6 June 2025

This study presents a novel two-dimensional hyperchaotic map, referred to as the 2D exponent-logarithm-sine chaotic map (2D-ELSCM), which is intricately designed through the interplay of exponential, logarithmic, and sine functions. To comprehensivel...

(This article belongs to the Section Multidisciplinary Applications)
  • Feature Paper
  • Article
  • Open Access
8 Citations
3,236 Views
22 Pages

Importance-Aware Resource Allocations for MIMO Semantic Communication

  • Yue Cao,
  • Youlong Wu,
  • Lixiang Lian and
  • Meixia Tao

5 June 2025

This study proposes a separate source-channel coding (SSCC) framework to address semantic communication challenges in MIMO systems, overcoming the limitations of joint source-channel coding (JSCC) in channel adaptation and model reusability. Traditio...

(This article belongs to the Special Issue Semantic Information Theory)

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Entropy - ISSN 1099-4300