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The entropy power inequality for independent random vectors is a foundational result of information theory, with deep connections to probability and geometric functional analysis. Several extensions of the entropy power inequality have been…

Information Theory · Computer Science 2025-12-23 Mokshay Madiman , James Melbourne , Cyril Roberto

Complex systems are characterised by a tight, nontrivial interplay of their constituents, which gives rise to a multi-scale spectrum of emergent properties. In this scenario, it is practically and conceptually difficult to identify those…

Statistical Mechanics · Physics 2022-10-19 Roi Holtzman , Marco Giulini , Raffaello Potestio

The entanglement entropy in clean, as well as in random quantum spin chains has a logarithmic size-dependence at the critical point. Here, we study the entanglement of composite systems that consist of a clean and a random part, both being…

Disordered Systems and Neural Networks · Physics 2017-11-28 Robert Juhász , István A. Kovács , Gergő Roósz , Ferenc Iglói

Reliably distinguishing between cells based on minute differences in receptor density is crucial for cell-cell or virus-cell recognition, the initiation of signal transduction and selective targeting in directed drug delivery. Such sharp…

Soft Condensed Matter · Physics 2021-10-04 Christine Linne , Daniele Visco , Stefano Angioletti-Uberti , Liedewij Laan , Daniela J. Kraft

We consider a quantum many-body lattice system that is coupled to ancillary degrees of freedom (``detectors''), which are periodically measured by means of strong projective measurements. The concentration $\rho_a$ of ancillae and their…

Quantum Physics · Physics 2024-07-03 Elmer V. H. Doggen , Igor V. Gornyi , Alexander D. Mirlin

The outcomes of projective measurements on a quantum many-body system in a chosen basis are inherently probabilistic. The Shannon entropy of this probability distribution (the "diagonal entropy") often reveals universal features, such as…

Quantum Physics · Physics 2025-08-12 Yu-Hsueh Chen , Tarun Grover

We prove that all R\'enyi entanglement entropies of spin-chains described by generic (gapped), translational invariant matrix product states (MPS) are extensive for disconnected sub-systems: All R\'enyi entanglement entropy densities of the…

Quantum Physics · Physics 2020-08-31 Alberto Rolandi , Henrik Wilming

Multivalent particles have the ability to form multiple bonds to a substrate. Hence, a multivalent interaction can be strong, even if the individual bonds are weak. However, much more interestingly, multivalency greatly increases the…

Soft Condensed Matter · Physics 2017-04-04 Tine Curk , Jure Dobnikar , Daan Frenkel

We introduce a novel Entropy-driven Monte Carlo (EdMC) strategy to efficiently sample solutions of random Constraint Satisfaction Problems (CSPs). First, we extend a recent result that, using a large-deviation analysis, shows that the…

Disordered Systems and Neural Networks · Physics 2016-02-26 Carlo Baldassi , Alessandro Ingrosso , Carlo Lucibello , Luca Saglietti , Riccardo Zecchina

We propose utilizing entropy as a diagnostic tool to distinguish between constant and dynamical dark energy models. Entropy, a measure of the system's disorder or information content, captures the complexity and evolution of the universe.…

General Relativity and Quantum Cosmology · Physics 2025-07-16 Tanisha Joshi

This review describes recent advances by the authors and others on the topic of incorporating experimental data into molecular simulations through maximum entropy methods. Methods which incorporate experimental data improve accuracy in…

Chemical Physics · Physics 2019-05-15 Dilnoza B. Amirkulova , Andrew D. White

Recently discovered measurement-induced entanglement phase transitions in monitored quantum circuits provide a novel example of far-from-equilibrium quantum criticality. Here, we propose a highly efficient strategy for experimentally…

Quantum Physics · Physics 2023-07-24 Ali G. Moghaddam , Kim Pöyhönen , Teemu Ojanen

This paper presents an improved secondary voltage control (SVC) methodology incorporating compressive sensing (CS) for a multi-area power system. SVC minimizes the voltage deviation of the load buses while CS deals with the problem of the…

Signal Processing · Electrical Eng. & Systems 2018-11-13 Irfan Khan , Vikram Bhattacharjee , Yinliang Xu , Soummya Kar , Mo-Yuen Chow

Entropy is one of the key thermodynamic variables reflecting changes in the state of matter. Unlike other thermodynamic variables, it is well-defined also for nonequilibrium steady states through its relation to information. Applying this…

Statistical Mechanics · Physics 2026-04-15 Haim Diamant , Gil Ariel

Quantum metrology is the use of genuinely quantum properties such as entanglement as a resource to outperform classical sensing strategies. Typically, entanglement is created by implementing gate operations or inducing many-body…

Quantum Physics · Physics 2021-06-10 Atsuki Yoshinaga , Mamiko Tatsuta , Yuichiro Matsuzaki

Data augmentation (DA) has been widely used to improve the generalization of deep neural networks. While existing DA methods have proven effective, they often rely on augmentation operations with random magnitudes to each sample. However,…

Computer Vision and Pattern Recognition · Computer Science 2024-09-11 Suorong Yang , Furao Shen , Jian Zhao

We study entanglement entropy (EE) for a Maxwell field in 2+1 dimensions. We do numerical calculations in two dimensional lattices. This gives a concrete example of the general results of our recent work on entropy for lattice gauge fields…

High Energy Physics - Theory · Physics 2015-06-19 Horacio Casini , Marina Huerta

Entanglement is the fundamental quantum property behind the now popular field of quantum transport of information. This quantum property is incompatible with the separation of a single system into two uncorrelated subsystems. Consequently,…

Statistical Mechanics · Physics 2009-11-07 Filippo Giraldi , Paolo Grigolini

In this contribution, models of wireless channels are derived from the maximum entropy principle, for several cases where only limited information about the propagation environment is available. First, analytical models are derived for the…

Information Theory · Computer Science 2007-07-13 M. Guillaud , M. Debbah , A. L. Moustakas

In the quantum sensing context most of the efforts to design novel quantum techniques of sensing have been constrained to idealized, noise-free scenarios, in which effects of environmental disturbances could be neglected. In this work, we…

Quantum Physics · Physics 2010-09-17 C. Vitelli , N. Spagnolo , L. Toffoli , F. Sciarrino , F. De Martini