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Noise on quantum devices is much more complex than it is commonly given credit. Far from usual models of decoherence, nearly all quantum devices are plagued both by a continuum of environments and temporal instabilities. These induce noisy…

Quantum Physics · Physics 2025-08-27 Gregory A. L. White , Petar Jurcevic , Charles D. Hill , Kavan Modi

This paper deals with the problem of finding a low-complexity estimate of the impulse response of a linear time-invariant discrete-time dynamic system from noise-corrupted input-output data. To this purpose, we introduce an identification…

Systems and Control · Computer Science 2016-09-23 Giuseppe C. Calafiore , Carlo Novara , Michele Taragna

Gaussian macroscopic fluctuation theory underpins the understanding of noise in a broad class of nonequilibrium systems. We derive exact fluctuation-response relations linking the power spectral density of stationary fluctuations to the…

Statistical Mechanics · Physics 2026-02-11 Timur Aslyamov , Krzysztof Ptaszyński , Massimiliano Esposito

Understanding the interference scenario in power lines network is a key step to characterize the power line communication (PLC) system. This paper focuses on the characterization and modelling of the stationary noise in Narrowband PLC.…

Signal Processing · Electrical Eng. & Systems 2019-12-03 Raja Alaya , Rabah Attia

This paper considers the problem of estimating linear dynamic system models when the observations are corrupted by random disturbances with nonstandard distributions. The paper is particularly motivated by applications where sensor…

Methodology · Statistics 2018-07-09 Johan Dahlin , Adrian Wills , Brett Ninness

Nonlinear optics is essential for many recent photonic technologies. Here, we introduce a novel multi-scale approach to simulate the nonlinear optical response of molecular nanomaterials combining ab initio quantum-chemical and classical…

Two types of general nonlinear consensus protocols are considered in this paper, namely the systems with nonlinear measurement and communication of the agents' states, respectively. The solutions of the systems are understood in the sense…

Optimization and Control · Mathematics 2016-04-14 Jieqiang Wei , Xinlei Yi , Henrik Sandberg , Karl Henrik Johansson

This work proposes a machine-learning framework for constructing statistical models of errors incurred by approximate solutions to parameterized systems of nonlinear equations. These approximate solutions may arise from early termination of…

Numerical Analysis · Computer Science 2019-02-18 Brian A. Freno , Kevin T. Carlberg

We present results of conductance-noise experiments on disordered films of crystalline indium oxide with lateral dimensions 2microns to 1mm. The power-spectrum of the noise has the usual 1/f form, and its magnitude increases with inverse…

Disordered Systems and Neural Networks · Physics 2009-11-11 V. Orlyanchik , V. I. Kozub , Z. Ovadyahu

Many of today's most pressing issues require a more robust understanding of how information spreads in populations. Current models of information spread can be thought of as falling into one of two varieties: epidemiologically-inspired…

Physics and Society · Physics 2025-03-03 Sagar Kumar , Moritz Laber , Maimuna S. Majumder , Brooke Foucault Welles

This paper is about receiving text messages through a noisy and costly line. Because the line is noisy we need redundancy, but because it is costly we can afford very little of it. I start by using well-known machinery for decoding noisy…

Optimization and Control · Mathematics 2022-04-28 Leo Liberti

We demonstrate how coupling nonlinear dynamical systems can reduce the effects of noise. For simplicity we investigate noisy coupled map lattices. Noise from different lattice nodes can diffuse across the lattice and lower the noise level…

Chaotic Dynamics · Physics 2015-11-24 Behnam Kia , Sarvenaz Kia , John F. Lindner , Sudeshna Sinha , William L. Ditto

We study the problem of joint communication and sensing for data transmission systems using optimal quantum instruments in order to transmit data and, at the same time, estimate environmental parameters. In particular we consider the…

Quantum Physics · Physics 2024-11-19 Pere Munar-Vallespir , Janis Nötzel

Dichotomous noise appears in a wide variety of physical and mathematical models. It has escaped attention that the standard results for the long time properties cannot be applied when unstable fixed points are crossed in the asymptotic…

Statistical Mechanics · Physics 2009-11-07 I. Bena , C. Van den Broeck , R. Kawai , Katja Lindenberg

In many scenarios, the communication system suffers from both Gaussian white noise and non-Gaussian impulsive noise. In order to design optimal signal detection method, it is necessary to estimate the parameters of mixed Gaussian-impulsive…

Signal Processing · Electrical Eng. & Systems 2022-09-07 Tianfu Qi , Jun Wang , Xiaonan Chen , Wei Huang

Infinitesimal and finite amplitude error propagation in spatially extended systems are numerically and theoretically investigated. The information transport in these systems can be characterized in terms of the propagation velocity of…

Chaotic Dynamics · Physics 2009-10-31 Massimo Cencini , Alessandro Torcini

Cells must continuously sense and respond to time-varying environmental stimuli. These signals are transmitted and processed by biochemical signalling networks. However, the biochemical reactions making up these networks are intrinsically…

Molecular Networks · Quantitative Biology 2015-05-18 Filipe Tostevin , Pieter Rein ten Wolde

In this paper, we propose a molecular communication system to localize an abnormality in a diffusion based medium. We consider a general setup to perform joint sensing, communication and localization. This setup consists of three types of…

Signal Processing · Electrical Eng. & Systems 2022-04-01 Ladan Khaloopour , Mahtab Mirmohseni , Masoumeh Nasiri-Kenari

The purpose of this paper is to set out the problems of modeling quantum communication and signal processing where the communication between systems via a non-Markovian channel. This is a general feature of quantum transmission lines. Our…

Quantum Physics · Physics 2017-01-05 John Gough

Many recent generative models make use of neural networks to transform the probability distribution of a simple low-dimensional noise process into the complex distribution of the data. This raises the question of whether biological networks…

Neural and Evolutionary Computing · Computer Science 2018-02-07 Hesham Mostafa , Gert Cauwenberghs