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In this paper, we formulate and solve a guaranteed cost control problem for a class of uncertain linear stochastic quantum systems. For these quantum systems, a connection with an associated classical (non-quantum) system is first…

Quantum Physics · Physics 2011-07-29 A. J. Shaiju , I. R. Petersen , M. R. James

Geometric quantum computation offers a practical strategy toward robust quantum computation due to its inherently error tolerance. However, the rigorous geometric conditions lead to complex and/or error-disturbed quantum controls,…

Quantum Physics · Physics 2022-07-28 Tao Chen , Zheng-Yuan Xue , Z. D. Wang

A conventional optomechanical system is composed of a mechanical mode and an optical mode interacting through a linear optomechanical coupling (LOC). We study how the presence of quadratic optomechanical coupling (QOC) in the conventional…

Quantum Physics · Physics 2015-09-29 Satya Sainadh U , M. Anil Kumar

The problem of simulating complex quantum processes on classical computers gave rise to the field of quantum simulations. Quantum simulators solve problems, such as Boson sampling, where classical counterparts fail. In another field of…

Orthogonal temporal modes (TMs) form a field-orthogonal, continuous-variable degree of freedom that is in principle infinite dimensional, and create a promising resource for quantum information science and technology. The ideal quantum…

Quantum Physics · Physics 2018-10-19 Dileep V. Reddy , Michael G. Raymer

The goal of a LLRF system is to control an actual RF cavity with beam. While digital simulations have a place, having an analog circuit to stand in for the cavity can be tremendously helpful in validating hardware+firmware+software under…

Accelerator Physics · Physics 2022-10-18 Shreeharshini Dharanesh Murthy , Lawrence Doolittle , Andrew Benwell

Optimization of the fidelity of control operations is of critical importance in the pursuit of fault-tolerant quantum computation. We apply optimal control techniques to demonstrate that a single drive via the cavity in circuit quantum…

Quantum Physics · Physics 2017-04-20 Joseph L. Allen , Robert Kosut , Jaewoo Joo , Peter Leek , Eran Ginossar

Recently it has been found that for a stochastic linear-quadratic optimal control problem (LQ problem, for short) in a finite horizon, open-loop solvability is strictly weaker than closed-loop solvability which is equivalent to the regular…

Optimization and Control · Mathematics 2018-06-15 Jingrui Sun , Hanxiao Wang , Jiongmin Yong

A logical qubit is a two-dimensional subspace of a higher dimensional system, chosen such that it is possible to detect and correct the occurrence of certain errors. Manipulation of the encoded information generally requires arbitrary and…

This paper is concerned with the linear quadratic optimal control of discrete-time time-varying system with terminal state constraint. The main contribution is to propose a Q-learning algorithm for the optimal controller when the…

Optimization and Control · Mathematics 2023-07-20 Juanjuan Xu , Jingmei Liu , Zhaorong Zhang , Wei Wang

With the advent of quantum technologies, control issues are becoming increasingly important. In this article, we address the control in phase space under a global constraint provided by a minimal energy-like cost function and a local (in…

Quantum Physics · Physics 2022-11-21 Qi Zhang , Xi Chen , David Guéry-Odelin

We present a new method of laser frequency locking in which the feedback signal is directly proportional to the detuning from an atomic transition, even at detunings many times the natural linewidth of the transition. Our method is a form…

Atomic Physics · Physics 2009-11-10 A. Ratnapala , C. J. Vale , A. G. White , M. D. Harvey , N. Heckenberg , H. Rubinsztein-Dunlop

We apply quantum optimal control theory (QOCT) to an exactly solvable non-Markovian open quantum bit (qubit) system to achieve state-independent quantum control and construct high-fidelity quantum gates for moderate qubit decaying…

Quantum Physics · Physics 2014-06-12 Jung-Shen Tai , Kuan-Ting Lin , Hsi-Sheng Goan

We present a novel locking scheme for active length-stabilization and frequency detuning of a cavity optomechanical device based on the optical spring effect. The scheme can be used as an alternative to the Pound-Drever-Hall locking…

We propose a quantum-assisted framework for solving constrained finite-horizon nonlinear optimal control problems using a barrier Sequential Quadratic Programming (SQP) approach. Within this framework, a quantum subroutine is incorporated…

Quantum Physics · Physics 2025-10-22 Nahid Binandeh Dehaghani , Rafal Wisniewski , A. Pedro Aguiar

In our previous research, simulation showed that a quantum locking scheme with homodyne detection in sub-cavities is effective in surpassing the quantum noise limit for Deci-hertz Interferometer Gravitational Wave Observatory (DECIGO) in a…

In this paper, we consider the problem of tracking a reference trajectory for a simplified car model based on unicycle kinematics, whose position only is measured, and where the control input and the measurements are corrupted by…

Robotics · Computer Science 2014-06-19 Sébastien Diemer , Silvère Bonnabel

Quantum entanglement plays a key role in both understanding the fundamental aspects of quantum physics and realizing various quantum devices for practical applications. Here we propose how to achieve coherent switch of optomechanical…

Quantum Physics · Physics 2023-02-14 Jing-Xue Liu , Ya-Feng Jiao , Ying Li , Xun-Wei Xu , Qiong-Yi He , Hui Jing

This paper studies the data-driven synthesis of linear quadratic integral (LQI) controllers for continuous-time systems. The objective is to achieve optimal state-feedback control with integral action for reference tracking using only…

Systems and Control · Electrical Eng. & Systems 2026-04-17 Armin Gießler , Pol Jané-Soneira , Sören Hohmann

Coherent carrier control in quantum nanostructures is studied within the framework of Optimal Control. We develop a general solution scheme for the optimization of an external control (e.g., lasers pulses), which allows to channel the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Alfio Borzi , Georg Stadler , Ulrich Hohenester