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Entropy, Volume 27, Issue 9

2025 September - 106 articles

Cover Story: The cover shows a stylized representation of the formation of a GHZ state using digitized adiabatic quantum computing. The GHZ state is a three-qubit “Schrödinger’s cat” state—an equally weighted superposition of all three qubits in the spin-up state and all three qubits in the spin-down state. The system starts with each qubit in an eigenstate in a magnetic field in the x direction, as represented by the cats at the left. Each qubit is converted to a superposition of states by the application of an H gate, but the qubits remain uncoupled at that point. The adiabatic evolution proceeds via the application of a sequence of unitary gates U(si), which entangle the qubits. This process produces the GHZ state, as represented by the cats on the right. The qubits are fully entangled in this state. View this paper
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Articles (106)

  • Article
  • Open Access
888 Views
26 Pages

Category Name Expansion and an Enhanced Multimodal Fusion Framework for Few-Shot Learning

  • Tianlei Gao,
  • Lei Lyu,
  • Xiaoyun Xie,
  • Nuo Wei,
  • Yushui Geng and
  • Minglei Shu

22 September 2025

With the advancement of image processing techniques, few-shot learning (FSL) has gradually become a key approach to addressing the problem of data scarcity. However, existing FSL methods often rely on unimodal information under limited sample conditi...

  • Article
  • Open Access
1 Citations
2,464 Views
33 Pages

Gradient-Free De Novo Learning

  • Karl Friston,
  • Thomas Parr,
  • Conor Heins,
  • Lancelot Da Costa,
  • Tommaso Salvatori,
  • Alexander Tschantz,
  • Magnus Koudahl,
  • Toon Van de Maele,
  • Christopher Buckley and
  • Tim Verbelen

22 September 2025

This technical note applies active inference to the problem of learning goal-directed behaviour from scratch, namely, de novo learning. By de novo learning, we mean discovering, directly from observations, the structure and parameters of a discrete g...

  • Article
  • Open Access
602 Views
11 Pages

Continuous-Variable Quantum Key Distribution Based on N-APSK Modulation over Seawater Channel

  • Lei Mao,
  • Zhangtao Liang,
  • Zhiyue Zuo,
  • Hang Zhang and
  • Yijun Wang

22 September 2025

A continuous-variable quantum key distribution (CVQKD) can be realized over the seawater channel, but the transmission of quantum signals in seawater media exhibits significant attenuation effects. Therefore, we propose an N-symbol amplitude and phas...

  • Article
  • Open Access
666 Views
22 Pages

Dataset-Learning Duality and Emergent Criticality

  • Ekaterina Kukleva and
  • Vitaly Vanchurin

22 September 2025

In artificial neural networks, the activation dynamics of non-trainable variables are strongly coupled to the learning dynamics of trainable variables. During the activation pass, the boundary neurons (e.g., input neurons) are mapped to the bulk neur...

  • Article
  • Open Access
584 Views
15 Pages

21 September 2025

Frequency-hopping sequences are essential in frequency-hopping spread spectrum communication systems due to their strong anti-interference capabilities, low probability of interception, and high confidentiality. Existing research has predominantly fo...

  • Article
  • Open Access
607 Views
30 Pages

21 September 2025

In uncertain battlefield environments, rapid and accurate detection, identification of hostile targets, and assessment of threat levels are crucial for supporting effective decision-making. Despite offering the advantage of structural transparency, t...

  • Article
  • Open Access
1,371 Views
16 Pages

21 September 2025

This study proposes a novel SSA-EMS framework that integrates Singular Spectrum Analysis (SSA) with Effect-Matched Spatial Filtering (EMS), combining the noise-reduction capability of SSA with the dynamic feature extraction advantages of EMS to optim...

  • Article
  • Open Access
626 Views
15 Pages

21 September 2025

Identifying an optimal linear combination of continuous variables is a key objective in various fields of research, such as medicine. This manuscript explores the use of information-theoretical approaches used to establish these linear combinations....

  • Article
  • Open Access
1 Citations
874 Views
21 Pages

20 September 2025

To date, the ordinal pattern-based method has been applied to problems in natural and social sciences. We report, for the first time to our knowledge, an attempt to apply this methodology to a topic in the humanities. Specifically, in an effort to in...

  • Review
  • Open Access
1 Citations
987 Views
23 Pages

20 September 2025

Entropy estimation is widely used in time series analysis, particularly in the field of Biomedical Engineering. It plays a key role in analyzing a wide range of physiological signals and serves as a measure of signal complexity, which reflects the co...

  • Article
  • Open Access
572 Views
23 Pages

20 September 2025

This study explores the application of Tsallis entropy in evaluating uncertainty within the framework of consecutive k-out-of-n good systems, which are widely utilized in various reliability and engineering contexts. We derive new analytical expressi...

  • Article
  • Open Access
722 Views
31 Pages

A Model Framework for Ion Channels with Selectivity Filters Based on Non-Equilibrium Thermodynamics

  • Christine Keller,
  • Manuel Landstorfer,
  • Jürgen Fuhrmann and
  • Barbara Wagner

20 September 2025

A thermodynamically consistent model framework to describe ion transport in nanopores is presented. The continuum model unifies electro-diffusion and selective ion transport and extends the classical Poisson–Nernst–Planck (PNP) system for...

  • Article
  • Open Access
713 Views
16 Pages

Target Recognition for Ultra-Wideband Radio Fuzes Using 1D-CGAN-Augmented 1D-CNN

  • Kaiwei Wu,
  • Shijun Hao,
  • Yanbin Liang,
  • Bing Yang and
  • Zhonghua Huang

19 September 2025

In ultra-wideband (UWB) radio fuzes, the signal processing unit’s capability to rapidly and accurately extract target characteristics under battlefield conditions directly determines detonation precision and reliability. Escalating electronic w...

  • Article
  • Open Access
645 Views
22 Pages

Physical and Statistical Pattern of the Thiva (Greece) 2020–2022 Seismic Swarm

  • Filippos Vallianatos,
  • Eirini Sardeli,
  • Kyriaki Pavlou and
  • Andreas Karakonstantis

19 September 2025

On 2 December 2020, an earthquake with a magnitude of Mw 4.5 occurred near the city of Thiva (Greece). The aftershock sequence, triggered by ruptures on or near the Kallithea fault, continued until January 2021. Seven months later, new seismic activi...

  • Article
  • Open Access
987 Views
24 Pages

19 September 2025

In Regional Economics, the attractiveness of regions for capital, migrants, tourists, and other kinds of flows is a relevant topic. Usually, studies in this field explore single flows, characterizing the dimensions of territorial attractiveness separ...

  • Article
  • Open Access
1 Citations
764 Views
22 Pages

18 September 2025

In this work, we propose a novel quantum-informed epistemic framework that extends the classical notion of probability by integrating plausibility, credibility, and possibility as distinct yet complementary measures of uncertainty. This enriched quad...

  • Article
  • Open Access
1 Citations
559 Views
20 Pages

18 September 2025

The problem of graph-based X-secure T-private linear computation (GXSTPLC) is to allow a user to retrieve a linear combination of K messages from a set of N distributed servers that store the messages in a graph-based fashion, i.e., each message is r...

  • Article
  • Open Access
797 Views
15 Pages

18 September 2025

A multiscale thermodynamic model is considered, in which cosmological dynamics enforce persistent non-equilibrium conditions through recursive energy exchange across hierarchically ordered subsystems. The internal energy of each subsystem is recursiv...

  • Article
  • Open Access
527 Views
7 Pages

18 September 2025

We closely examine a recently introduced notion of average smoothness. The latter defined a weak and strong average-Lipschitz seminorm for real-valued functions on general metric spaces. Specializing to the standard metric on the real line, we compar...

  • Feature Paper
  • Article
  • Open Access
543 Views
16 Pages

Symplectic QSD, LCD, and ACD Codes over a Non-Commutative Non-Unitary Ring of Order Nine

  • Sarra Manseri,
  • Patrick Solé,
  • Adel Alahmadi and
  • Widyan Basaffar

18 September 2025

We introduce quasi self-dual (QSD), linear complementary dual (LCD), and additive complementary dual (ACD) codes for the symplectic inner product over a non-commutative non-unitary ring of order 9. We establish connections with symplectic–self-...

  • Article
  • Open Access
1 Citations
511 Views
29 Pages

Timely Updating on Ber/Geo/1/2 Queue Modeled Status Updating System with Eavesdropper

  • Jixiang Zhang,
  • Han Xu,
  • Anqi Zheng,
  • Daming Cao,
  • Yinfei Xu and
  • Chengyu Lin

18 September 2025

We consider that the source sends packets to the receiver through a Ber/Geo/1/2 queue modeled status updating system, where the transmitted packets are subject to potential eavesdropping. Time is discretized into identical time slots. This paper stud...

  • Article
  • Open Access
514 Views
18 Pages

A DREM-Based Approach for the Identification of Chaotic Systems

  • Carlos Aguilar-Ibanez,
  • Miguel S. Suarez-Castanon,
  • Belem Saldivar,
  • José E. Valdez-Rodríguez and
  • Eloísa García-Canseco

18 September 2025

A straightforward methodology for identifying certain classes of chaotic systems based on a novel version of the least-squares method, assuming they are algebraically observable and identifiable with respect to a measurable output, is introduced. Thi...

  • Review
  • Open Access
2,498 Views
14 Pages

18 September 2025

Depression is one of the most disabling of all disorders across the community, yet many aspects of the disorder remain contentious. Psychosocial and biological perspectives are often placed in opposition to one another, which in part reflects a failu...

  • Article
  • Open Access
770 Views
18 Pages

17 September 2025

Kolmogorov–Sinai (KS) entropy is an indicator of the chaotic behavior of entire systems from an information-theoretic viewpoint. Here, we used KS entropy values derived from the heart sounds of four fetus–mother pairs to identify the chan...

  • Feature Paper
  • Article
  • Open Access
609 Views
11 Pages

Thermodynamics of Observations

  • Arno Keppens and
  • Jean-Christopher Lambert

17 September 2025

This work demonstrates that the four laws of classical thermodynamics apply to the statistics of symmetric observation distributions, and provides examples of how this can be exploited in uncertainty assessments. First, an expression for the partitio...

  • Article
  • Open Access
1,451 Views
24 Pages

17 September 2025

Unmanned aerial vehicle (UAV)-assisted integrated sensing and communication (ISAC) systems have developed rapidly in the sixth generation (6G) era. However, factors such as the mobility of ground users and malicious jamming pose significant challenge...

  • Article
  • Open Access
1 Citations
822 Views
20 Pages

17 September 2025

The digital economy plays an important role in promoting green economic growth. This study evaluates the degree of green economic development generated by green innovation and green sharing based on data from 30 provinces in China from 2011 to 2022....

  • Article
  • Open Access
552 Views
12 Pages

16 September 2025

At the interface dividing two media, an area appears that has its own physical characteristics which differ from the properties of the bulk materials. The small width of the interface area permits considering this area as a two-dimensional median sur...

  • Article
  • Open Access
608 Views
26 Pages

16 September 2025

In this study, we propose a novel penalized empirical likelihood approach that simultaneously performs parameter estimation and variable selection in heteroscedastic partially linear single-index models with a diverging number of parameters. It is ri...

  • Feature Paper
  • Article
  • Open Access
708 Views
15 Pages

16 September 2025

Recent publications have introduced the concept of quantum-like (QL) bits, along with their associated QL states and QL gate operations, which emerge from the dynamics of complex, synchronized networks. The present work extends these ideas to multi-l...

  • Article
  • Open Access
738 Views
27 Pages

16 September 2025

Information retrieval serves as a critical methodology for accurately and efficiently obtaining the required information from massive amounts of data. In this paper, we propose an information retrieval framework (SE-MSLC) that utilizes information th...

  • Article
  • Open Access
1,223 Views
21 Pages

16 September 2025

This article aims to analyze the correlation between healthcare expenditure per capita in 2021 and the sum of the number of hospitalized patients, ICU admissions, confirmed COVID-19 cases, and deaths in a selected period of time. The analysis covers...

  • Article
  • Open Access
1,009 Views
17 Pages

Detection of Significant Seismic Quiescence Patterns in the Mexican Subduction Zone Using Extended Schreider Algorithms

  • Carlos Carrizales-Velazquez,
  • Jennifer Perez-Oregon,
  • Israel Reyes-Ramírez,
  • Lev Guzmán-Vargas and
  • Fernando Angulo-Brown

16 September 2025

This study investigates the implementation of Schreider’s quiescence algorithm and two variants that utilize spatiotemporal data to identify patterns of seismic quiescence. These patterns are of particular interest as they may serve as precurso...

  • Article
  • Open Access
2 Citations
2,625 Views
21 Pages

15 September 2025

With rapid advancements in transformers, the reconstruction of hyperspectral images from RGB images, also known as spectral super-resolution (SSR), has made significant breakthroughs. However, existing transformer-based methods often struggle to bala...

  • Review
  • Open Access
1 Citations
1,741 Views
19 Pages

b-Value Evaluation and Applications to Seismic Hazard Assessment

  • Ying Chang,
  • Rui Wang,
  • Peng Han,
  • Jinhong Wang,
  • Miao Miao,
  • Zhiyi Zeng,
  • Weiwei Wu,
  • Changsheng Jiang,
  • Lingyuan Meng and
  • Katsumi Hattori
  • + 1 author

15 September 2025

Earthquake forecast and risk assessment are of key importance in reducing casualties and property losses. However, they have not been fully achieved due to the complexity of earthquakes. Numerous studies have explored the correspondence of the b-valu...

  • Article
  • Open Access
2 Citations
867 Views
21 Pages

14 September 2025

Extracting effective fault features from the complex vibration signals of planetary gearboxes is the key to conducting efficient fault diagnosis, and it involves signal processing, feature extraction, and feature selection. In this paper, a novel fea...

  • Article
  • Open Access
766 Views
18 Pages

14 September 2025

Smart grids leverage smart terminal devices to collect information from the user side, achieving accurate load forecasting and optimized dispatching of power systems, effectively improving power supply efficiency and reliability while reducing energy...

  • Article
  • Open Access
1 Citations
1,066 Views
20 Pages

14 September 2025

This study explores the nonlinear dynamics and interdependencies among major commodity markets—Gold, Oil, Natural Gas, and Silver—by employing advanced chaos theory and information-theoretic tools. Using daily data from 2020 to 2024, we e...

  • Feature Paper
  • Article
  • Open Access
1,767 Views
27 Pages

14 September 2025

We revisit the monotonicity of relative entropy under the action of quantum channels, a foundational result in quantum information theory. Among the several available proofs, we focus on those by Petz and Uhlmann, which we reformulate within a unifie...

  • Article
  • Open Access
935 Views
21 Pages

13 September 2025

Wind turbines operate under harsh conditions, heightening the risk of rotating bearing failures. While fault diagnosis using acoustic or vibration signals is feasible, single-modal methods are highly vulnerable to environmental noise and system uncer...

  • Article
  • Open Access
1,800 Views
16 Pages

Quantum Computing for Transport Network Optimization

  • Jiangwei Ju,
  • Zhihang Liu,
  • Yuelin Bai,
  • Yong Wang,
  • Qi Gao,
  • Yin Ma,
  • Chao Zheng and
  • Kai Wen

13 September 2025

Public transport systems play a crucial role in the development of large cities. Bus network design to optimize passenger flow coverage in a global metropolis is a challenging task. As an essential part of bus travel planning, considering the bus tra...

  • Article
  • Open Access
612 Views
14 Pages

The Realization of One-to-Two-Port Beam Division in a Five-Channel Acoustic System

  • Rui Wang,
  • Zhicheng Xu,
  • Shuai Tang,
  • Wencong Zhang,
  • Jiabin Hou,
  • Haipeng Cui and
  • Yang Liu

12 September 2025

In this work, one-to-two-port beam division is achieved in a five-channel acoustic system. The adjacent composing channels are connected by space-varying air slits, thus realizing quantum-like adiabatic energy transfer. Equal-weight beam splitting wi...

  • Article
  • Open Access
1,094 Views
33 Pages

12 September 2025

We live in a time dominated by interconnected networks surrounding us on all fronts. The emergence of social media platforms has driven the expansion of social networks, facilitating fast communication worldwide. Responses to content shared on these...

  • Article
  • Open Access
598 Views
14 Pages

10 September 2025

We investigate the partial differential equation system which describes the double-diffusion convection phenomena with the reduction formalism. Double-diffusion refers to when two scalar quantities with different diffusivity, such as heat and solute...

  • Feature Paper
  • Article
  • Open Access
1 Citations
699 Views
28 Pages

On the Entropy-Based Localization of Inequality in Probability Distributions

  • Rajeev Rajaram,
  • Nathan Ritchey and
  • Brian Castellani

10 September 2025

We present a novel method for localizing inequality within probability distributions by applying a recursive Hahn decomposition to the degree of uniformity—a measure derived from the exponential of Shannon entropy. This approach partitions the...

  • Feature Paper
  • Article
  • Open Access
1 Citations
1,298 Views
27 Pages

Exergy Efficiency of Closed and Unsteady-Flow Systems

  • Yunus A. Çengel and
  • Mehmet Kanoğlu

10 September 2025

Exergy efficiency is viewed as the degree of approaching reversible operation, with a value of 100 percent for a reversible process characterized by zero entropy generation or equivalently zero exergy destruction since Xdestroyed = T0Sgen. As such, e...

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Entropy - ISSN 1099-4300