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Entanglement underpins the power of quantum technologies, yet it is fragile and typically destroyed by dissipation. Paradoxically, the same dissipation, when carefully engineered, can drive a system toward robust entangled steady states.…

Continuous-time Markov decision processes are an important class of models in a wide range of applications, ranging from cyber-physical systems to synthetic biology. A central problem is how to devise a policy to control the system in order…

Systems and Control · Computer Science 2016-06-01 Ezio Bartocci , Luca Bortolussi , Tomǎš Brázdil , Dimitrios Milios , Guido Sanguinetti

The presence of noise is currently one of the main obstacles to achieving large-scale quantum computation. Strategies to characterise and understand noise processes in quantum hardware are a critical part of mitigating it, especially as the…

Quantum Physics · Physics 2023-12-06 Emilio Onorati , Tamara Kohler , Toby S. Cubitt

Development of robust quantum control has been challenging and there are numerous obstacles to applying classical robust control to quantum system including bilinearity, marginal stability, state preparation errors, nonlinear figures of…

Quantum Physics · Physics 2022-07-26 C. A. Weidner , S. G. Schirmer , F. C. Langbein , E. A. Jonckheere

Optimal control theory deals with finding protocols to steer a system between assigned initial and final states, such that a trajectory-dependent cost function is minimized. The application of optimal control to stochastic systems is an…

Statistical Mechanics · Physics 2024-09-18 Julia Sanders , Marco Baldovin , Paolo Muratore-Ginanneschi

We present a rigorous and comprehensive classification of the asymptotic behavior of time-dependent Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) equations under the assumption of Hermitian jump operators. Our results apply to a broad class…

Quantum Physics · Physics 2026-05-06 Hironobu Yoshida , Ryusuke Hamazaki

This paper studies the synchronization of stochastic linear systems which are subject to a general class of noises, in the sense that the noises are bounded in covariance but might be correlated with the states of agents and among each…

Systems and Control · Electrical Eng. & Systems 2022-05-16 Jiaqi Yan , Yilin Mo , Hideaki Ishii

A dynamical symmetry is employed to determine the structure of the quantum non-Markovian time-local master equation. Such a structure is composed from two components: scalar kinetic coefficients and the standard quantum Markovian operator…

Quantum Physics · Physics 2022-12-19 Roie Dann , Nina Megier , Ronnie Kosloff

The collective decision-making exhibited by animal groups provides enormous inspiration for multi-agent control system design as it embodies several features that are desirable in engineered networks, including robustness and adaptability,…

Optimization and Control · Mathematics 2017-12-01 Alessio Franci , Vaibhav Srivastava , Naomi Ehrich Leonard

This paper investigates the finite time stabilization problem for a class of nonlinear systems with unknown control directions and unstructured uncertainties. The unstructured uncertainties indicate that not only the parameters but also the…

Systems and Control · Electrical Eng. & Systems 2024-10-30 Shiqi Zheng , Shihao Wang , Xiang Chen , Yuanlong Xie

Optimizing the controls of quantum systems plays a crucial role in advancing quantum technologies. The time-varying noises in quantum systems and the widespread use of inhomogeneous quantum ensembles raise the need for high-quality quantum…

Quantum Physics · Physics 2025-05-06 Xinyu Fei , Lucas T. Brady , Jeffrey Larson , Sven Leyffer , Siqian Shen

As a key index for applications of a device, the device's reliability is its ability to survive (function normally over time) under the influence of some environment. In this paper we present a quantum energy-storing device model with a…

Quantum Physics · Physics 2026-03-13 Bowen Sun , D. L. Zhou

In this work, we introduce an information-theoretic approach for considering changes in dynamics of finitely dimensional open quantum systems governed by master equations. This experimentally motivated approach arises from considering how…

Quantum Physics · Physics 2021-05-03 Katarzyna Macieszczak

Measuring stochastic signals ("noise metrology") constitutes a central task in quantum sensing and the characterization of open quantum systems. Here we establish ultimate precision bounds for multiparameter estimation of stochastic signals…

Quantum Physics · Physics 2026-04-17 Anthony J. Brady , Yu-Xin Wang , Luis Pedro García-Pintos , Alexey V. Gorshkov

We present the fundamentals of the quantum theoretical approach we have developed in the last decade to model cognitive phenomena that resisted modeling by means of classical logical and probabilistic structures, like Boolean, Kolmogorovian…

Neurons and Cognition · Quantitative Biology 2023-02-27 Diederik Aerts , Massimiliano Sassoli de Bianchi , Sandro Sozzo , Tomas Veloz

A survey is given summarizing the state of the art of describing information processing in Quantum Decision Theory, which has been recently advanced as a novel variant of decision making, based on the mathematical theory of separable…

Physics and Society · Physics 2015-05-13 V. I. Yukalov , D. Sornette

A Lyapunov-based approach for the trajectory generation of an $N$-dimensional Schr{\"o}dinger equation in whole $\RR^N$ is proposed. For the case of a quantum particle in an $N$-dimensional decaying potential the convergence is precisely…

Analysis of PDEs · Mathematics 2015-05-13 Mazyar Mirrahimi

Despite the existence of formal guarantees for learning-based control approaches, the relationship between data and control performance is still poorly understood. In this paper, we propose a Lyapunov-based measure for quantifying the…

Systems and Control · Electrical Eng. & Systems 2021-08-02 Armin Lederer , Alexandre Capone , Thomas Beckers , Jonas Umlauft , Sandra Hirche

We propose an encoding and control strategy for the stabilization of switched systems with limited information, supposing the controller is given for each mode. Only the quantized output and the active mode of the plant at each sampling…

Systems and Control · Computer Science 2014-12-19 Masashi Wakaiki , Yutaka Yamamoto

Accurate control of quantum systems requires precise measurement of the parameters that govern the dynamics, including control fields and interactions with the environment. Parameters will drift in time and experiments interleave protocols…

Quantum Physics · Physics 2020-02-11 Swarnadeep Majumder , Leonardo Andreta de Castro , Kenneth R. Brown