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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
752 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...

  • Article
  • Open Access
1 Citations
1,354 Views
29 Pages

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

  • Honghui Ban,
  • Jifei Pan,
  • Zheng Wang,
  • Rui Cui,
  • Yuting Ming and
  • Qiuxi Jiang

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...

  • Feature Paper
  • Article
  • Open Access
1 Citations
1,526 Views
14 Pages

Extended Blahut–Arimoto Algorithm for Semantic Rate-Distortion Function

  • Yuxin Han,
  • Yang Liu,
  • Yaping Sun,
  • Kai Niu,
  • Nan Ma,
  • Shuguang Cui and
  • Ping Zhang

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...

  • Article
  • Open Access
1,249 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...

  • Feature Paper
  • Article
  • Open Access
3 Citations
1,014 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...

  • Article
  • Open Access
1 Citations
1,158 Views
18 Pages

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...

  • Article
  • Open Access
1 Citations
864 Views
10 Pages

Synchronizations in Complex Systems Dynamics Through a Multifractal Procedure

  • Vlad Ghizdovat,
  • Diana Carmen Mirila,
  • Florin Nedeff,
  • Dragos Ioan Rusu,
  • Oana Rusu,
  • Maricel Agop and
  • Decebal Vasincu

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...

  • Feature Paper
  • Article
  • Open Access
961 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...

  • Article
  • Open Access
1 Citations
1,679 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...

  • Review
  • Open Access
7 Citations
3,593 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...

  • Article
  • Open Access
478 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...

  • Article
  • Open Access
3,330 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,
  • Julio C. Rodríguez-Quiñonez,
  • Daniel Hernández Balbuena and
  • Wendy Flores-Fuentes

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...

  • Article
  • Open Access
1 Citations
2,071 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
1,106 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...

  • Article
  • Open Access
1,343 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...

  • Article
  • Open Access
1 Citations
1,331 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...

  • Feature Paper
  • Article
  • Open Access
942 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...

  • Article
  • Open Access
4 Citations
2,169 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...

  • Article
  • Open Access
839 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...

  • Article
  • Open Access
1 Citations
1,342 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...

  • Article
  • Open Access
1 Citations
919 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 ,
  • Abdelaziz Alsubie  and
  • Yashpal Singh Raghav

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...

  • Article
  • Open Access
1,132 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...

  • Article
  • Open Access
1 Citations
1,570 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...

  • Article
  • Open Access
753 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...

  • Feature Paper
  • Article
  • Open Access
1 Citations
1,014 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...

  • Article
  • Open Access
1,447 Views
26 Pages

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

  • Zhicheng Liu,
  • Liuquan Yao,
  • Shuai Yuan,
  • Guiying Yan,
  • Zhiming Ma and
  • Yuting Liu

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...

  • Article
  • Open Access
1,199 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...

  • Article
  • Open Access
1,186 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...

  • Article
  • Open Access
722 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...

  • Article
  • Open Access
4 Citations
1,501 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...

  • Article
  • Open Access
3 Citations
889 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...

  • Feature Paper
  • Article
  • Open Access
1 Citations
901 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...

  • Article
  • Open Access
1,281 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...

  • Article
  • Open Access
1 Citations
888 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...

  • Article
  • Open Access
3,044 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...

  • Article
  • Open Access
1 Citations
2,991 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...

  • Article
  • Open Access
1 Citations
862 Views
26 Pages

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...

  • Article
  • Open Access
1,361 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...

  • Feature Paper
  • Article
  • Open Access
1 Citations
1,179 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...

  • Article
  • Open Access
1 Citations
3,110 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...

  • Feature Paper
  • Article
  • Open Access
1 Citations
750 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...

  • Article
  • Open Access
8 Citations
1,953 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...

  • Article
  • Open Access
753 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...

  • Article
  • Open Access
661 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...

  • Article
  • Open Access
4 Citations
1,591 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...

  • Feature Paper
  • Article
  • Open Access
4 Citations
1,746 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...

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Entropy - ISSN 1099-4300