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Analytic continuation of numerical data obtained in imaginary time or frequency has become an essential part of many branches of quantum computational physics. It is, however, an ill-conditioned procedure and thus a hard numerical problem.…

Strongly Correlated Electrons · Physics 2016-08-18 Dominic Bergeron , A. -M. S. Tremblay

Finding better solutions to combinatorial optimization problems could have a large positive impact on many real-world application areas, such as logistics. For this reason, significant efforts have been made to design novel optimisation…

Optimisation problems in science and engineering typically involve finding the ground state (i.e. the minimum energy configuration) of a cost function with respect to many variables. If the variables are corrupted by noise then this…

Quantum Physics · Physics 2016-03-08 Nicholas Chancellor , Szilard Szoke , Walter Vinci , Gabriel Aeppli , Paul A. Warburton

Mismatch cost (MMC) is a universally applicable lower bound on the entropy production (EP) of any fixed physical process across a given time interval. In the first part of the paper, we establish results concerning MMC to prove that it…

Statistical Mechanics · Physics 2026-04-27 Abhishek Yadav , Francesco Caravelli , David Wolpert

Efficient approximation lies at the heart of large-scale machine learning problems. In this paper, we propose a novel, robust maximum entropy algorithm, which is capable of dealing with hundreds of moments and allows for computationally…

Machine Learning · Statistics 2019-06-05 Diego Granziol , Binxin Ru , Stefan Zohren , Xiaowen Doing , Michael Osborne , Stephen Roberts

The operational characterization of quantum coherence is the corner stone in the development of resource theory of coherence. We introduce a new coherence quantifier based on max-relative entropy. We prove that max-relative entropy of…

Quantum Physics · Physics 2018-01-17 Kaifeng Bu , Uttam Singh , Shao-Ming Fei , Arun Kumar Pati , Junde Wu

Ever since Claude Shannon used entropy for his "Mathematical Theory of Communication", entropy has become a buzzword in research circles with scientists applying entropy to describe any phenomena that are reminiscent of disorder. In this…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-17 Temitayo Adefemi

This paper presents a proof-of-concept for integrating quantum hardware with real-time digital simulator (RTDS) to model and control modern power systems, including renewable energy resources. Power flow (PF) analysis and optimal power flow…

Systems and Control · Electrical Eng. & Systems 2025-05-20 Zeynab Kaseb , Rahul Rane , Aleksandra Lekic , Matthias Moller , Amin Khodaei , Peter Palensky , Pedro P. Vergara

Over the last few years, machine learning unlocked previously infeasible features for compression, such as providing guarantees for users' privacy or tailoring compression to specific data statistics (e.g., satellite images or audio…

Information Theory · Computer Science 2026-03-25 Gergely Flamich

R\'esum\'e: Le principal objet de cette communication est de faire une r\'etro perspective succincte de l'utilisation de l'entropie et du principe du maximum d'entropie dans le domaine du traitement du signal. Apr\`es un bref rappel de…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Ali Mohammad-Djafari

The quantum random number generation based on laser phase noise, which is featured with high generation rate and ease for photonic integration, has been extensively investigated and demonstrated. Despite these advancements, a theoretical…

Quantum Physics · Physics 2026-04-17 Jinlu Liu , Jie Yang , Yu Gao , Guowei Zhang , Yan Pan , Heng Wang , Yuyang Ding , Yang Li , Wei Huang , Bingjie Xu , Wei Chen

Quantum information theory, particularly its entropic formulations, has made remarkable strides in characterizing quantum systems and tasks. However, a critical dimension remains underexplored: computational efficiency. While classical…

Quantum Physics · Physics 2026-05-05 Noam Avidan , Thomas A. Hahn , Joseph M. Renes , Rotem Arnon

We report multipronged progress on the stochastic averaging approach to numerical analytic continuation of quantum Monte Carlo data. With the sampled spectrum parametrized with delta-functions in continuous frequency space, a calculation of…

Strongly Correlated Electrons · Physics 2023-01-11 Hui Shao , Anders W. Sandvik

We study the maximum achievable differential entropy at the output of a system assigning to each input X the sum X+N, with N a given noise with probability law absolutely continuous with respect to the Lebesgue measure and where the input…

Optimization and Control · Mathematics 2016-02-04 Francisco J. Piera

Developing mixed-signal analog-digital neuromorphic circuits in advanced scaled processes poses significant design challenges. We present compact and energy efficient sub-threshold analog synapse and neuron circuits, optimized for a 28 nm…

Emerging Technologies · Computer Science 2019-08-22 Ning Qiao , Giacomo Indiveri

This chapter concerns "control volume analysis", the standard engineering tool for the analysis of flow systems, and its application to entropy balance calculations. Firstly, the principles of control volume analysis are enunciated and…

Fluid Dynamics · Physics 2014-07-22 Robert K. Niven , Bernd R. Noack

Maximum entropy modeling is a flexible and popular framework for formulating statistical models given partial knowledge. In this paper, rather than the traditional method of optimizing over the continuous density directly, we learn a smooth…

Methodology · Statistics 2017-05-01 Gabriel Loaiza-Ganem , Yuanjun Gao , John P. Cunningham

In this paper, we show how the MEP hypothesis may be used to build simple climate models without representing explicitly the energy transport by the atmosphere. The purpose is twofold. First, we assess the performance of the MEP hypothesis…

Atmospheric and Oceanic Physics · Physics 2017-03-21 Corentin Herbert , Didier Paillard

One of the main issues that real energy converters present, when they produce effective work, is the inevitable entropy production. Within the context of Non-equilibrium Thermodynamics, entropy production tends to energetically degrade…

Statistical Mechanics · Physics 2024-01-08 L. A. Arias-Hernandez , G. Valencia-Ortega , F. Angulo-Brown , C. R. Martinez-Garcia

Modern edge devices increasingly rely on neural networks for intelligent applications. However, conventional digital computing-based edge inference requires substantial memory and energy consumption. In analog radio frequency (RF)…

Signal Processing · Electrical Eng. & Systems 2026-05-15 Wentao Yu , Vincent W. S. Wong
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