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We introduce and validate a machine learning-assisted protocol to classify time and space correlations of classical noise acting on a quantum system, using two interacting qubits as probe. We consider different classes of noise, according…

This paper presents a novel machine-learning framework for reconstructing low-order gust-encounter flow field and lift coefficients from sparse, noisy surface pressure measurements. Our study thoroughly investigates the time-varying…

Machine Learning · Computer Science 2025-06-25 Hanieh Mousavi , Jeff D. Eldredge

The main challenge of quantum computing on its way to scalability is the erroneous behaviour of current devices. Understanding and predicting their impact on computations is essential to counteract these errors with methods such as quantum…

Quantum Physics · Physics 2023-06-16 Tom Weber , Kerstin Borras , Karl Jansen , Dirk Krücker , Matthias Riebisch

In this paper, the problem of state estimation, in the context of both filtering and smoothing, for nonlinear state-space models is considered. Due to the nonlinear nature of the models, the state estimation problem is generally intractable…

Machine Learning · Statistics 2021-11-24 Jarrad Courts , Adrian Wills , Thomas B. Schön

Quantum error correction protocols have been developed to offset the high sensitivity to noise inherent in quantum systems. However, much is still unknown about the behaviour of a quantum error-correcting code under general noise, including…

Quantum Physics · Physics 2021-06-09 Stefanie J. Beale , Joel J. Wallman

We introduce a noise-aware extension to the parametric maximum-likelihood framework for component separation by modeling correlated $1/f^\alpha$ noise as a harmonic-space power law. This approach addresses a key limitation of existing…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-07 Goureesankar Sathyanathan , Josquin Errard , Soumen Basak

Noise correlations, such as those observable in the time of flight images of a released cloud, are calculated for hard-core bosonic (HCB) atoms. We find that the standard mapping of HCB systems onto spin-1/2 XY models fails in application…

Other Condensed Matter · Physics 2009-11-11 Ana Maria Rey , Indubala I Satija , Charles W Clark

State-space models are used in a wide range of time series analysis formulations. Kalman filtering and smoothing are work-horse algorithms in these settings. While classic algorithms assume Gaussian errors to simplify estimation, recent…

Optimization and Control · Mathematics 2018-07-02 Jonathan Jonker , Aleksandr Y. Aravkin , James V. Burke , Gianluigi Pillonetto , Sarah Webster

Noise shaping refers to an analog-to-digital conversion methodology in which quantization error is arranged to lie mostly outside the signal spectrum by means of oversampling and feedback. Recently it has been successfully applied to more…

Information Theory · Computer Science 2015-02-23 Evan Chou , C. Sinan Güntürk , Felix Krahmer , Rayan Saab , Özgür Yılmaz

Laboratory hardware is rapidly progressing towards a state where quantum error-correcting codes can be realised. As such, we must learn how to deal with the complex nature of the noise that may occur in real physical systems. Single qubit…

Quantum Physics · Physics 2019-04-10 Naomi H. Nickerson , Benjamin J. Brown

Alternators have recently been introduced as a framework for modeling time-dependent data. They often outperform other popular frameworks, such as state-space models and diffusion models, on challenging time-series tasks. This paper…

Machine Learning · Computer Science 2025-05-20 Mohammad R. Rezaei , Adji Bousso Dieng

We investigate nonlinear state-space models without a closed-form transition density, and propose reformulating such models over their latent noise variables rather than their latent state variables. In doing so the tractable noise density…

Computation · Statistics 2013-12-11 Lawrence M. Murray , Emlyn M. Jones , John Parslow

Correlated noise is a critical failure mode in quantum error correction (QEC), as temporal memory and spatial structure concentrate faults into error bursts that undermine standard threshold assumptions. Yet, a fundamental gap persists…

Quantum Physics · Physics 2026-03-09 John F Kam , Angus Southwell , Spiro Gicev , Muhammad Usman , Kavan Modi

It is important to know noise levels of boson sampling in order to cautiously demonstrate the quantum computational advantage or realize certain tasks. Based on those statistical benchmark methods such as the correlators and clouds, which…

Quantum Physics · Physics 2026-05-21 Yang Ji , Yongjin Ye , Qiao Wang , Shi Wang , Jie Hou , Yongzheng Wu , Zijian Wang , Bo Jiang

In this paper, we develop an impairments-aware air-to-ground unified channel model that incorporates the effect of both wobbling and hardware impairments, where the former is caused by random physical fluctuations of unmanned aerial…

Information Theory · Computer Science 2023-08-30 Morteza Banagar , Harpreet S. Dhillon

We develop an asymptotic limit theory for nonparametric estimation of the noise covariance kernel in linear parabolic stochastic partial differential equations (SPDEs) with additive colored noise, using space-time infill asymptotics. The…

Statistics Theory · Mathematics 2025-08-29 Andreas Petersson , Dennis Schroers

In recent years, a lot of research has been conducted within the area of causal inference and causal learning. Many methods have been developed to identify the cause-effect pairs in models and have been successfully applied to observational…

Machine Learning · Statistics 2021-10-18 Benjamin Kap , Marharyta Aleksandrova , Thomas Engel

In this article, the state estimation problems with unknown process noise and measurement noise covariances for both linear and nonlinear systems are considered. By formulating the joint estimation of system state and noise parameters into…

Systems and Control · Electrical Eng. & Systems 2023-12-18 Hua Lan , Shijie Zhao , Jinjie Hu , Zengfu Wang , Jing Fu

Performance measurement in competitive domains is frequently confounded by shared environmental factors that obscure true performance differences. For instance, absolute metrics can be heavily influenced by factors as varied as weather…

Data Analysis, Statistics and Probability · Physics 2025-04-29 M. R. Brown , G. Scott , L. Kilduff

The paper discusses work done to expand and extend the capabilities of the open-source QUCS circuit simulator through the implementation of a computationally efficient time-domain steady-state analysis module, supporting simulation of…

Systems and Control · Electrical Eng. & Systems 2025-12-12 Torsten Djurhuus , Viktor Krozer