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Entropy, Volume 28, Issue 2

2026 February - 120 articles

Cover Story: Quantum systems relax to equilibrium when coupled to a thermal environment, generating entropy in the process. In the image, waves represent thermal energy and the dots represent the entropy that is created according to the second law of thermodynamics. For open quantum system dynamics described by a continuous diffusive process in the Hilbert space, i.e., without jumps, stochastic differential equations can be derived for both the evolution of the system and the stochastic entropy production. This is a more fine-grained framework for defining entropy than is typically considered. Care needs to be taken in developing the equations since some choices of Hilbert space coordinates can create mathematical difficulties, but these problems can be resolved. View this paper
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Articles (120)

  • Tutorial
  • Open Access
2,667 Views
36 Pages

22 February 2026

Error correction is an essential part of the theory of quantum computation. However, new quantum computation students may find the theories of error correction and fault tolerance daunting, or they may be stuck with theoretical/outdated schemes (such...

(This article belongs to the Special Issue Quantum Error Correction and Fault-Tolerance)
  • Article
  • Open Access
531 Views
16 Pages

22 February 2026

Let p be a prime with p∉{2,5} and let q=pm. This paper studies cyclic and self-orthogonal linear codes of length n over the finite local non-Frobenius ring Rp,u,v=Fq+uFq+vFq, u2=v2=uv=vu=0. We define an Fq-linear Gray map πn:Rp,u,vn&rar...

(This article belongs to the Section Multidisciplinary Applications)
  • Article
  • Open Access
646 Views
29 Pages

21 February 2026

This paper investigates the performance of a multi-user multiple-input single-output (MU-MISO) broadcast channel under the practical constraints of imperfect, delayed, and quantized channel state information at the transmitter (CSIT). Conventional in...

(This article belongs to the Special Issue Wireless Communications: Signal Processing Perspectives, 2nd Edition)
  • Article
  • Open Access
1 Citations
1,111 Views
23 Pages

Energy-Efficient 3D Trajectory Optimization and Resource Allocation for UAV-Enabled ISAC Systems

  • Lulu Jing,
  • Hai Wang,
  • Zhen Qin,
  • Yicheng Zhao,
  • Yi Zhu and
  • Wensheng Zhao

21 February 2026

Owing to their high flexibility, autonomous operation, and rapid deployment capability, unmanned aerial vehicles (UAVs) serve as effective aerial platforms for sensing and communication in remote and time-critical scenarios. However, their limited on...

(This article belongs to the Special Issue Integrated Sensing and Communication (ISAC) in 6G)
  • Article
  • Open Access
3 Citations
808 Views
20 Pages

A Comparison of Algorithms to Achieve the Maximum Entropy in the Theory of Evidence

  • Joaquín Abellán,
  • Aina López-Gay,
  • Maria Isabel A. Benítez and
  • Francisco Javier G. Castellano

21 February 2026

Within the framework of evidence theory, maximum entropy is regarded as a measure of total uncertainty that satisfies a comprehensive set of mathematical properties and behavioral requirements. However, its practical applicability is severely questio...

(This article belongs to the Special Issue Entropy, Statistical Evidence, and Scientific Inference: Evidence Functions in Theory and Applications, 2nd Edition)
  • Review
  • Open Access
1,248 Views
23 Pages

20 February 2026

The spontaneous emergence of macroscopic dissipative structures in systems driven by generalized chemical potentials is well established in non-equilibrium thermodynamics. Examples include atmospheric/oceanic currents, hurricanes and tornadoes, Rayle...

(This article belongs to the Special Issue Alive or Not Alive: Entropy and Living Things)
  • Article
  • Open Access
1 Citations
863 Views
22 Pages

20 February 2026

We study the problem of joint sensing and secure communications in a reconfigurable intelligent surface (RIS)-based symbiotic radio (SR) system. In the considered system, a dual-functional radar and communication base station (DFRC-BS) achieves secur...

(This article belongs to the Special Issue Wireless Physical Layer Security Toward 6G)
  • Article
  • Open Access
708 Views
28 Pages

Crofton Risk and Relative Transactional Entropy

  • Marcin Makowski and
  • Edward W. Piotrowski

20 February 2026

We develop a geometric approach to financial risk based on Crofton’s idea and the tools of the Radon transform. The trajectory of a financial instrument is defined with respect to a frame of reference (money, benchmark). A central role is playe...

(This article belongs to the Special Issue Explaining Economic and Social Science Phenomena Through Physical Models, Second Edition)
  • Article
  • Open Access
8 Citations
915 Views
21 Pages

Coupled Dynamics of Vaccination Behavior and Epidemic Spreading on Multilayer Higher-Order Networks

  • Zhishuang Wang,
  • Guoqiang Zeng,
  • Qian Yin,
  • Linyuan Guo and
  • Zhiyong Hong

20 February 2026

Vaccination behavior and epidemic spreading are strongly intertwined processes, and their coevolution is often shaped by both individual decision-making and social interactions. However, most existing studies model such interactions at the pairwise l...

(This article belongs to the Special Issue Complexity of Social Networks)
  • Article
  • Open Access
1 Citations
1,378 Views
24 Pages

Multi-Scale Feature Learning for Farmland Segmentation Under Complex Spatial Structures

  • Yongqi Han,
  • Yuqing Wang,
  • Yun Zhang,
  • Hongfu Ai,
  • Chuan Qin and
  • Xinle Zhang

19 February 2026

Fragmented, irregular, and scale-heterogeneous farmland parcels introduce high spatial complexity into high-resolution remote sensing imagery, leading to boundary ambiguity and inter-class spectral confusion that hinder effective feature discriminati...

(This article belongs to the Section Multidisciplinary Applications)
  • Article
  • Open Access
2 Citations
1,105 Views
21 Pages

19 February 2026

Multi-criteria decision-making (MCDM) problems in complex evaluation systems are often characterized by high uncertainty in expert judgments and dynamic variations in indicator importance. Traditional analytic hierarchy process (AHP) and entropy-base...

  • Article
  • Open Access
4 Citations
713 Views
26 Pages

19 February 2026

The operational reliability of aero-engines is critically dependent on the health of rolling element bearings, while incipient fault diagnosis remains particularly challenging under small-sample conditions. Although multiscale entropy methods are wid...

(This article belongs to the Section Multidisciplinary Applications)
  • Article
  • Open Access
2 Citations
825 Views
14 Pages

Dissipative Realization of a Quantum Distance-Based Classifier Using Open Quantum Walks

  • Pedro Linck Maciel,
  • Graeme Pleasance,
  • Francesco Petruccione and
  • Nadja K. Bernardes

19 February 2026

Open quantum walks (OQWs) constitute a class of quantum walks whose dynamics are entirely driven by interactions with the environment. It is well known that OQWs provide a general framework for implementing dissipative quantum computation. In this wo...

(This article belongs to the Special Issue Open Quantum Systems Applied to Quantum Computation)
  • Article
  • Open Access
863 Views
25 Pages

The Interplay Between Non-Instantaneous Dynamics of mRNA and Bounded Extrinsic Stochastic Perturbations for a Self-Enhancing Transcription Factor

  • Lorenzo Cabriel,
  • Giulio Caravagna,
  • Sebastiano de Franciscis,
  • Fabio Anselmi and
  • Alberto D’Onofrio

19 February 2026

In this work, we consider a simple bistable motif constituted by a self-enhancing Transcription Factor (TF) and its mRNA with non-instantaneous dynamics. In particular, we mainly numerically investigated the impact of bounded stochastic perturbations...

(This article belongs to the Section Statistical Physics)
  • Article
  • Open Access
1,031 Views
13 Pages

18 February 2026

We study the properties of a plasma sheath containing cold positive ions, secondary electrons, and primary electrons with a Cairns distribution (a non-thermal velocity distribution). We derive the generalized Bohm criterion and Bohm speed, the new fl...

(This article belongs to the Section Astrophysics, Cosmology, and Black Holes)
  • Review
  • Open Access
1,172 Views
22 Pages

18 February 2026

The inference of unstructured text semantics is a crucial preprocessing task for NLP and AI applications. Word sense disambiguation and entity linking tasks resolve ambiguous terms within unstructured text corpora to senses from a predefined knowledg...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Review
  • Open Access
966 Views
47 Pages

A Survey of Lattice-Based Physical-Layer Security for Wireless Systems with p-Modular Lattice Constructions

  • Hassan Khodaiemehr,
  • Khadijeh Bagheri,
  • Amin Mohajer,
  • Chen Feng,
  • Daniel Panario and
  • Victor C. M. Leung

18 February 2026

Physical-layer security (PLS) provides an information-theoretic framework for securing wireless communications by exploiting channel and signal-structure asymmetries, thereby avoiding reliance on computational hardness assumptions. Within this settin...

(This article belongs to the Special Issue Wireless Communications: Signal Processing Perspectives, 2nd Edition)
  • Review
  • Open Access
1 Citations
1,908 Views
32 Pages

Review of Prognosis Approaches Applied to Power SiC MOSFETs for Health State and Remaining Useful Life Prediction

  • Sanjiv Kumar,
  • Bruno Allard,
  • Malorie Hologne-Carpentier,
  • Guy Clerc and
  • François Auger

17 February 2026

The use of Silicon Carbide (SiC) MOSFETs significantly improves converter performance by increasing efficiency and reducing costs, to the detriment of electro-magnetic emission and reliability. Implementing a predictive maintenance strategy based on...

(This article belongs to the Special Issue Diagnosis and Prognosis of Incipient Faults Using Information Processing or Machine Learning, and Deep Learning)
  • Article
  • Open Access
1,764 Views
27 Pages

Outlier Detection in Functional Data Using Adjusted Outlyingness

  • Zhenghui Feng,
  • Xiaodan Hong,
  • Yingxing Li,
  • Xiaofei Song and
  • Ketao Zhang

16 February 2026

In signal processing and information analysis, the detection and identification of anomalies present in signals constitute a critical research focus. Accurately discerning these deviations using probabilistic, statistical, and information-theoretic m...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Feature Paper
  • Article
  • Open Access
1 Citations
1,267 Views
18 Pages

A Multiple-Well Framework for Human Perceptual Decision-Making

  • Joseph Fluegemann,
  • Jiaqi Huang,
  • Morgan Lena Rosendahl,
  • Jerome Busemeyer and
  • Jonathan D. Cohen

16 February 2026

We present a quantum cognitive model that integrates the influence of cognitive control into human perceptual decision-making. The model employs a multiple-square-well potential, where each well corresponds to a distinct decision outcome. In this fra...

(This article belongs to the Section Quantum Information)
  • Article
  • Open Access
659 Views
46 Pages

16 February 2026

Path integral Monte Carlo simulations and closure computations of quantum fluid triplet structures in the diffraction regime are presented. The principal aim is to shed some more light on the long-standing problem of quantum fluid triplet structures....

(This article belongs to the Section Quantum Information)
  • Article
  • Open Access
1 Citations
1,039 Views
25 Pages

Link Prediction in Heterogeneous Information Networks: Improved Hypergraph Convolution with Adaptive Soft Voting

  • Sheng Zhang,
  • Yuyuan Huang,
  • Ziqiang Luo,
  • Jiangnan Zhou,
  • Bing Wu,
  • Ka Sun and
  • Hongmei Mao

16 February 2026

Complex real-world systems are often modeled as heterogeneous information networks with diverse node and relation types, bringing new opportunities and challenges to link prediction. Traditional methods based on similarity or meta-paths fail to fully...

(This article belongs to the Special Issue Advances in Complex Networks and Their Applications, from COMPLEX NETWORKS 2025)
  • Feature Paper
  • Article
  • Open Access
1,177 Views
18 Pages

16 February 2026

The superposition principle in quantum mechanics enables the encoding of an entire solution space within a single quantum state. By employing quantum routines such as amplitude amplification or the Quantum Approximate Optimization Algorithm (QAOA), t...

(This article belongs to the Special Issue The Future of Quantum Machine Learning and Quantum AI, 2nd Edition)
  • Feature Paper
  • Article
  • Open Access
509 Views
18 Pages

A Generalization of the DMC

  • Sergey Tridenski and
  • Anelia Somekh-Baruch

16 February 2026

We consider a generalization of the discrete memoryless channel, in which the channel probability distribution is replaced by a uniform distribution over clouds of channel output sequences. For a random ensemble of such channels, we derive an achieva...

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

15 February 2026

Trajectory prediction is critical for safe robot navigation, yet standard deep learning models predominantly rely on the Mean Squared Error (MSE) criterion. While effective under ideal conditions, MSE-based optimization is inherently fragile to non-G...

(This article belongs to the Special Issue Bayesian Networks and Causal Discovery)
  • Article
  • Open Access
1 Citations
3,198 Views
18 Pages

15 February 2026

Many problems in physics and computer science can be framed in terms of combinatorial optimization. Due to this, it is interesting and important to study theoretical aspects of such optimization. Here, we study connections between Kolmogorov complexi...

(This article belongs to the Special Issue Kolmogorov Complexity and Applications: Theoretical Achievements and Practical Tools)
  • Article
  • Open Access
663 Views
33 Pages

15 February 2026

In this paper, an observer-based proportional-integral-derivative (PID) controller is designed for a class of uncertain nonlinear systems with integral measurements, denial-of-service (DoS) attacks and bounded stochastic noises under a binary encodin...

(This article belongs to the Special Issue Information Theory in Control Systems, 3rd Edition)
  • Article
  • Open Access
737 Views
16 Pages

14 February 2026

In the post-pandemic era, student mental health challenges have emerged as a critical issue in higher education. However, conventional assessment approaches often treat at-risk populations as a monolithic entity, thereby limiting intervention effecti...

  • Article
  • Open Access
1,033 Views
22 Pages

14 February 2026

Context: Code recommendation plays an important role in improving programming efficiency and software quality. Existing approaches mainly focus on method- or API-level recommendations, which limits their effectiveness to local code contexts. From a m...

(This article belongs to the Section Multidisciplinary Applications)
  • Article
  • Open Access
1,193 Views
15 Pages

State of Health Evaluation of Lithium-Ion Batteries Using the Statistical Properties of the Voltage

  • Abdelilah Hammou,
  • Raffaele Petrone,
  • Demba Diallo,
  • Claude Delpha and
  • Hamid Gualous

14 February 2026

Conventional indicators of battery health, such as capacity and energy, are difficult to measure directly and are therefore often estimated. This article proposes assessing lithium-ion battery health using the statistical properties of the voltage ac...

(This article belongs to the Special Issue Diagnosis and Prognosis of Incipient Faults Using Information Processing or Machine Learning, and Deep Learning)
  • Article
  • Open Access
504 Views
18 Pages

Combination Network with Multiaccess Caching

  • Bowen Zheng,
  • Yifei Huang and
  • Dianhua Wu

13 February 2026

In the traditional (H,r,M,N) combination network, a central server storing N files communicates with K=(Hr) users through H cache-less relays. Each user has a local cache of size M files and is connected to a distinct subset of r relays. This paper s...

(This article belongs to the Special Issue Network Information Theory and Its Applications)
  • Feature Paper
  • Article
  • Open Access
1,345 Views
22 Pages

Switching Coordinator: An SDN Application for Flexible QKD Networks

  • Rubén B. Méndez,
  • Hans H. Brunner,
  • Juan P. Brito,
  • Hamid Taramit,
  • Chi-Hang Fred Fung,
  • Antonio Pastor,
  • Rafael Cantó,
  • Jesús Folgueira,
  • Diego R. López and
  • Vicente Martin
  • + 1 author

13 February 2026

A monitor and control framework for quantum-key-distribution (QKD) networks equipped with switching capabilities was developed. On the one hand, this framework provides real-time visibility into operational metrics. Specifically, it extracts essentia...

(This article belongs to the Special Issue Classical and Quantum Networks: Theory, Modeling and Optimization, 2nd Edition)
  • Article
  • Open Access
1,090 Views
21 Pages

13 February 2026

The early diagnosis of depression is often impeded by the subjectivity inherent in traditional clinical assessments. To advance objective screening, this study proposes a lightweight neural network framework designed to discriminate between pathologi...

(This article belongs to the Section Entropy and Biology)
  • Editorial
  • Open Access
1,358 Views
4 Pages

13 February 2026

Complex social and socio-technical systems have numerous interacting components, nonlinear feedback, and emergent collective behaviors [...]

(This article belongs to the Special Issue Computational and Statistical Physics Approaches for Complex Systems and Social Phenomena, 3rd Edition)
  • Article
  • Open Access
2 Citations
706 Views
26 Pages

12 February 2026

Recently introduced, power Brownian motion and power Levy motion are versatile and practical anomalous-diffusion models. On the one hand, the power motions are easily constructed and are easily tracked. On the other hand, the power motions display an...

(This article belongs to the Special Issue Random Walks and Stochastic Processes in Complex Systems: From Physics to Socio-Economic Phenomena, 2nd Edition)
  • Article
  • Open Access
1 Citations
1,343 Views
20 Pages

RL-Based Parallel LDPC Decoding with Clustered Scheduling

  • Yusuf Ozkan,
  • Yauhen Yakimenka and
  • Jörg Kliewer

12 February 2026

We propose a reinforcement learning (RL)-based decoding framework for high-throughput parallel decoding of low-density parity-check (LDPC) codes using clustered scheduling. Parallel LDPC decoders must balance error-correction performance and decoding...

(This article belongs to the Special Issue Coding Theory and Its Applications)
  • Article
  • Open Access
2 Citations
1,353 Views
23 Pages

12 February 2026

This paper presents a detailed investigation of the deterministic and stochastic dynamics of a noise-driven forced nonlinear oscillator in a periodically driven framework. An overlap-mapping approach is used to compare multiple traveling-wave solutio...

(This article belongs to the Special Issue Nonlinear Dynamics of Complex Systems)
  • Article
  • Open Access
1,235 Views
16 Pages

12 February 2026

Frustration is an intrinsic feature of molecular complexes, arising when individual constituents must distort from their optimal isolated geometries to achieve collective stabilization. Although energetic frustration can be defined as the average dis...

(This article belongs to the Special Issue The Information-Theoretic Approach in Density Functional Theory and Beyond)
  • Article
  • Open Access
4 Citations
931 Views
17 Pages

Multi-Entropy Feature Concatenation for Data-Efficient Cross-Subject Classification of Alzheimer’s Disease and Frontotemporal Dementia from Single-Channel EEG

  • Jiawen Li,
  • Chen Ling,
  • Weidong Zhang,
  • Jujian Lv,
  • Xianglei Hu,
  • Kaihan Lin,
  • Jun Yuan,
  • Shuang Zhang and
  • Rongjun Chen

12 February 2026

Alzheimer’s disease (AD) and frontotemporal dementia (FTD) are neurodegenerative disorders where early detection is vital. However, the need for long-term monitoring is incompatible with data-scarce settings, and methods trained on one subject...

(This article belongs to the Special Issue Entropy in Biomedical Engineering, 3rd Edition)
  • Review
  • Open Access
1 Citations
2,469 Views
46 Pages

11 February 2026

Large language models (LLMs) are fundamentally transforming intelligent traffic systems by enabling semantic abstraction, probabilistic reasoning, and multimodal information fusion across heterogeneous data. This review examines existing research on...

(This article belongs to the Topic AI and Computational Methods for Modelling, Simulations and Optimizing of Advanced Systems: Innovations in Complexity, 2nd Edition)
  • Article
  • Open Access
1 Citations
879 Views
19 Pages

11 February 2026

Gas–liquid two-phase flow instability is a key issue affecting the safety and efficiency of industrial systems, and the accurate characterization of its multiscale dynamic characteristics remains a challenge. This study proposes a novel approac...

(This article belongs to the Section Multidisciplinary Applications)
  • Article
  • Open Access
856 Views
29 Pages

11 February 2026

Amid debates over internet penetration’s impact on leisure diversity—“macro-level entropy increase” vs. “micro-level entropy reduction”—this study explores their intrinsic link by introducing Shannon’s...

(This article belongs to the Section Multidisciplinary Applications)
  • Article
  • Open Access
1 Citations
1,028 Views
20 Pages

11 February 2026

This paper develops two nonparametric test statistics for testing exponentiality against alternatives in the increasing failure rate average (IFRA) class. The proposed procedures are constructed using information-theoretic functionals, namely the cum...

(This article belongs to the Special Issue Recent Progress in Uncertainty Measures)
  • Article
  • Open Access
552 Views
21 Pages

11 February 2026

The growth of the Internet of Things (IoT) has created many problems. A wise example is presented by the design of secure, efficient authentication and key agreement (AKA) protocols. A novel three-factor AKA protocol for the IoT is presented in this...

(This article belongs to the Special Issue Information-Theoretic Security and Privacy)
  • Article
  • Open Access
1,343 Views
27 Pages

Efficient EM Estimation for the Pogit Model via Polya-Gamma Augmentation

  • Iván Gutiérrez,
  • Sandra Ramírez and
  • Leonardo Jofré

11 February 2026

The Poisson-logistic (pogit) model is widely used for count data with latent intensities, with applications including under-reporting correction and share-of-wallet estimation, yet existing estimation methods do not scale well to large datasets. We p...

(This article belongs to the Special Issue Statistical Inference: Theory and Methods)
  • Article
  • Open Access
934 Views
14 Pages

11 February 2026

The thermodynamic stability of the evolution of a simple conservatively perturbed chemical equilibrium, that is, a two-step reversible reaction, is investigated using the Lyapunov thermodynamic stability formulation. We show that such systems are asy...

(This article belongs to the Special Issue Kinetic Analysis and Engineering of (Bio)chemical Reactions—in Honor of the 85th Birthday of Professor Gregory Yablonsky)
  • Article
  • Open Access
4 Citations
3,265 Views
28 Pages

Quantum Information Flow in Microtubule Tryptophan Networks

  • Lea Gassab,
  • Onur Pusuluk and
  • Travis J. A. Craddock

11 February 2026

Networks of aromatic amino acid residues within microtubules, particularly those formed by tryptophan, may serve as pathways for optical information flow. Ultraviolet excitation dynamics in these networks are typically modeled with effective non-Herm...

(This article belongs to the Section Quantum Information)
  • Feature Paper
  • Article
  • Open Access
521 Views
16 Pages

10 February 2026

I introduce a new analytical framework for estimating critical temperatures in interacting many-body systems, focusing on the Ising model. Combining the Bethe cluster setting, the Metropolis update, and the Galam Majority Model developed in sociophys...

(This article belongs to the Special Issue Ising Model—100 Years Old and Still Attractive)

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Entropy - ISSN 1099-4300