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Efficiently controlling linear Gaussian quantum (LGQ) systems is a significant task in both the study of fundamental quantum theory and the development of modern quantum technology. Here, we propose a general quantum-learning-control method…

Quantum Physics · Physics 2024-06-11 Yu-Hong Liu , Yexiong Zeng , Qing-Shou Tan , Daoyi Dong , Franco Nori , Jie-Qiao Liao

Quantum optical metrology aims to identify ultimate sensitivity bounds for the estimation of parameters encoded into quantum states of the electromagnetic field. In many practical applications, including imaging, microscopy, and remote…

Quantum Physics · Physics 2023-02-15 Giacomo Sorelli , Manuel Gessner , Nicolas Treps , Mattia Walschaers

A major obstacle in the way of practical quantum computing is achieving scalable and robust high-fidelity entangling gates. To this end, quantum control has become an essential tool, as it can make the entangling interaction resilient to…

Quantum Physics · Physics 2022-10-05 Christophe H. Valahu , Iason Apostolatos , Sebastian Weidt , Winfried K. Hensinger

We study a model of a two-level system (i.e. a qubit) in interaction with the electromagnetic field. By means of homodyne detection, one field-quadrature is observed continuously in time. Due to the interaction, information about the…

Quantum Physics · Physics 2009-11-11 Bas Janssens , Luc Bouten

We investigate whether paradigmatic measurements for quantum state tomography, namely mutually unbiased bases and symmetric informationally complete measurements, can be employed to certify quantum correlations. For this purpose, we…

The purpose of this paper is to review and highlight some connections between the problem of nonlinear smoothing and optimal control of the Liouville equation. The latter has been an active area of recent research interest owing to work in…

Optimization and Control · Mathematics 2023-03-23 Jin W. Kim , Prashant G. Mehta

Optimal strategies for local quantum metrology -- including the preparation of optimal probe states, implementation of optimal control and measurement strategies, are well established. However, for distributed quantum metrology, where the…

Quantum Physics · Physics 2025-09-29 Zhiyao Hu , Allen Zang , Jianwei Wang , Tian Zhong , Haidong Yuan , Liang Jiang , Zain H. Saleem

Estimation of an optical beam's transverse displacement is a canonical imaging problem fundamental to numerous optical imaging and sensing tasks. Quantum enhancements to the measurement precision in this problem have been studied…

Quantum Physics · Physics 2025-09-16 Wenhua He , Christos N. Gagatsos , Dalziel J. Wilson , Saikat Guha

In this article, we formulate the generation of optomechanical entanglement between the linearly coupled cavity field and the mechanical resonator as an optimal control problem in hyperbolic space $H^3$, with control input the coupling rate…

Quantum Physics · Physics 2018-04-17 Dionisis Stefanatos

We introduce a general framework, based on collision models and discrete CP-maps, to describe on an equal footing coherent and measurement-based feedback control of quantum mechanical systems. We apply our framework to prominent tasks in…

Quantum Physics · Physics 2023-10-23 Alfred Harwood , Matteo Brunelli , Alessio Serafini

Quantum entanglement is a form of correlation between quantum particles that cannot be increased via local operations and classical communication. It has therefore been proposed that an increment of quantum entanglement between probes that…

Quantum Physics · Physics 2021-06-23 Soham Pal , Priya Batra , Tanjung Krisnanda , Tomasz Paterek , T. S. Mahesh

We describe algorithms, and experimental strategies, for the Pareto optimal control problem of simultaneously driving an arbitrary number of quantum observable expectation values to their respective extrema. Conventional quantum optimal…

Quantum Physics · Physics 2009-11-13 Raj Chakrabarti , Rebing Wu , Herschel Rabitz

We present a theoretical study of the optimal control of a qubit interacting with a structured environment. We consider a model system in which the bath is a bosonic reservoir at zero temperature and the qubit frequency is the only control…

Quantum Physics · Physics 2022-10-04 Quentin Ansel , Jonas Fischer , Dominique Sugny , Bruno Bellomo

In this paper, we study a linear-quadratic optimal control problem for mean-field stochastic differential equations driven by a Poisson random martingale measure and a multidimensional Brownian motion. Firstly, the existence and uniqueness…

Optimization and Control · Mathematics 2016-10-12 Maoning Tang , Qingxin Meng

Quantum correlations and entanglement are fundamental resources for quantum information and quantum communication processes. Developments in these fields normally assume these resources stable and not susceptible of distortion. That is not…

Quantum Physics · Physics 2017-06-13 Francisco Delgado

We apply optimal control techniques to an inhomogeneous spin ensemble coupled to a cavity. A general procedure is proposed for designing the control strategies. We numerically show the extent to which optimal control fields robust against…

Quantum Physics · Physics 2018-09-12 Q. Ansel , S. Probst , P. Bertet , S. J. Glaser , D. Sugny

Problem of damping of an arbitrary number of linear oscillators under common bounded control is considered. We are looking for a feedback control steering the system to the equilibrium. The obtained control is asymptotically optimal: the…

Optimization and Control · Mathematics 2016-12-02 Alexander Ovseevich , Aleksey Fedorov

We show that direct feedback based on quantum jump detection can be used to generate entangled steady states. We present a strategy that is insensitive to detection inefficiencies and robust against errors in the control Hamiltonian. This…

Quantum Physics · Physics 2009-11-13 A. R. R. Carvalho , J. J. Hope

We show that in the regime in which feedback control is most effective -- when measurements are relatively efficient, and feedback is relatively strong -- then, in the absence of any sharp inhomogeneity in the noise, it is always best to…

Quantum Physics · Physics 2009-11-13 Kurt Jacobs , Austin P. Lund

High-dimensional quantum systems offer a number of advantages in larger information capacity, stronger noise resiliency, higher improved efficiency and accuracy over the qubit systems. In quantum communication the maximally entangled states…

Quantum Physics · Physics 2026-04-15 Si-Qi Du , Guo-Zhu Song , Hai-Rui Wei
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