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We present a machine-learning method for predicting sharp transitions in a Hamiltonian phase diagram by extrapolating the properties of quantum systems. The method is based on Gaussian Process regression with a combination of kernels chosen…

Other Condensed Matter · Physics 2019-04-26 Rodrigo A. Vargas-Hernández , John Sous , Mona Berciu , Roman V. Krems

This article explores the estimation of parameters and states for linear stochastic systems with deterministic control inputs. It introduces a novel Kalman filtering approach called Kalman Filtering with Correlated Noises Recursive…

Systems and Control · Electrical Eng. & Systems 2025-07-11 Abd El Mageed Hag Elamin Khalid

Quantum neural networks (QNNs) provide expressive probabilistic models by leveraging quantum superposition and entanglement, yet their practical training remains challenging due to highly oscillatory loss landscapes and noise inherent to…

Quantum Physics · Physics 2026-01-26 Jaemin Seo

Feedback-based quantum algorithms (FQAs) operate by iteratively growing a quantum circuit to optimize a given task. At each step, feedback from qubit measurements is used to inform the next quantum circuit update. In practice, the sampling…

Quantum Physics · Physics 2026-01-14 Vicente Peña Pérez , Matthew D. Grace , Christian Arenz , Alicia B. Magann

Reinforcement learning has been widely used in many problems, including quantum control of qubits. However, such problems can, at the same time, be solved by traditional, non-machine-learning methods, such as stochastic gradient descent and…

Quantum Physics · Physics 2021-05-06 Xiao-Ming Zhang , Zezhu Wei , Raza Asad , Xu-Chen Yang , Xin Wang

Quantum machine learning, focusing on quantum neural networks (QNNs), remains a vastly uncharted field of study. Current QNN models primarily employ variational circuits on an ansatz or a quantum feature map, often requiring multiple…

Quantum Physics · Physics 2024-02-02 Utkarsh Singh , Aaron Z. Goldberg , Khabat Heshami

Quantum metrology leverages quantum effects such as squeezing, entanglement, and other quantum correlations to boost precision in parameter estimation by saturating quantum Cramer Rao bound, which can be achieved by optimizing quantum…

Quantum Physics · Physics 2024-12-03 A. Naimy , A. Slaoui , A. Ali , H. El Hadfi , R. Ahl Laamara , S. Al-Kuwari

The goal of quantum metrology is the precise estimation of parameters using quantum properties such as entanglement. This estimation usually consists of three steps: state preparation, time evolution during which information of the…

Quantum Physics · Physics 2021-03-25 Shingo Kukita , Yuichiro Matsuzaki , Yasushi Kondo

Large-scale quantum systems require optical coherence between distant quantum devices, necessitating spectral indistinguishability. Scalable solid-state platforms offer promising routes to this goal. However, environmental disorders,…

The Kalman filter (KF) is an optimal linear state estimator for linear systems, and numerous extensions, including the extended Kalman filter (EKF), unscented Kalman filter (UKF), and cubature Kalman filter (CKF), have been developed for…

Systems and Control · Electrical Eng. & Systems 2026-04-07 Shida Jiang , Junzhe Shi , Scott Moura

The influence of noise on quantum dynamics is one of the main factors preventing current quantum processors from performing accurate quantum computations. Sufficient noise characterization and modeling can provide key insights into the…

Quantum Physics · Physics 2024-12-23 Yasuo Oda , Kevin Schultz , Leigh Norris , Omar Shehab , Gregory Quiroz

Reliable state estimation depends on accurately modeled noise covariances, which are difficult to determine in practice. This paper formulates the noise covariance estimation as a bilevel optimization problem that factorizes the joint…

Systems and Control · Electrical Eng. & Systems 2025-12-08 Haoying Li , Yifan Peng , Yuchi Wu , Junfeng Wu

In this work, we aim at augmenting the decisions output by quantum models with "error bars" that provide finite-sample coverage guarantees. Quantum models implement implicit probabilistic predictors that produce multiple random decisions…

Quantum Physics · Physics 2023-10-24 Sangwoo Park , Osvaldo Simeone

The particle filter (PF) and the ensemble Kalman filter (EnKF) are widely used for approximate inference in state-space models. From a Bayesian perspective, these algorithms represent the prior by an ensemble of particles and update it to…

Methodology · Statistics 2025-02-11 Chengxin Gong , Wei Lin , Cheng Zhang

In the last few years, quantum computing and machine learning fostered rapid developments in their respective areas of application, introducing new perspectives on how information processing systems can be realized and programmed. The…

A stochastic filter uses a series of measurements over time to produce estimates of unknown variables based on a dynamic model. For a quantum system, such an algorithm is provided by a quantum filter, which is also known as a stochastic…

Quantum Physics · Physics 2017-07-25 Muhammad F. Emzir , Matthew J. Woolley , Ian R. Petersen

Machine learning algorithms are powerful tools for data driven tasks such as image classification and feature detection, however their vulnerability to adversarial examples - input samples manipulated to fool the algorithm - remains a…

Quantum machine learning is a rapidly advancing discipline that leverages the features of quantum mechanics to enhance the performance of computational tasks. Quantum reservoir processing, which allows efficient optimization of a single…

The development of quantum technologies relies on creating and manipulating quantum systems of increasing complexity, with key applications in computation, simulation, and sensing. This poses severe challenges in efficient control,…

Quantum Physics · Physics 2025-09-09 Hailan Ma , Bo Qi , Ian R. Petersen , Re-Bing Wu , Herschel Rabitz , Daoyi Dong

Quantum Image Processing (QIP) is a field that aims to utilize the benefits of quantum computing for manipulating and analyzing images. However, QIP faces two challenges: the limitation of qubits and the presence of noise in a quantum…

Quantum Physics · Physics 2024-09-27 Yifan Zhou , Yan Shing Liang
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