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Based on a recently developed notion of physical realizability for quantum linear stochastic systems, we formulate a quantum LQG optimal control problem for quantum linear stochastic systems where the controller itself may also be a quantum…

Quantum Physics · Physics 2009-08-07 H. I. Nurdin , M. R. James , I. R. Petersen

Coherent feedback control of quantum systems has demonstrable advantages over measurement-based control, but so far there has been little work done on coherent estimators and more specifically coherent observers. Coherent observers are…

Quantum Physics · Physics 2015-07-29 Zibo Miao , Michael R. Hush , Matthew James

A direct coupling coherent observer is constructed for a linear quantum plant which has oscillatory solutions. It is shown that a finite time moving average of the quantum observer output can provide an estimate of the quantum plant output…

Quantum Physics · Physics 2017-06-21 Ian R. Petersen

This paper proposes a direct coupling coherent quantum observer for a quantum plant which consists of a two level quantum system. The quantum observer, which is a quantum harmonic oscillator, includes homodyne detection measurements. It is…

Quantum Physics · Physics 2017-03-30 Ian R. Petersen , Elanor H. Huntington

We previously extended Luenberger's approach for observer design to the quantum case, and developed a class of coherent observers which tracks linear quantum stochastic systems in the sense of mean values. In light of the fact that the…

Quantum Physics · Physics 2015-09-18 Zibo Miao , Matthew R. James , Valery A. Ugrinovskii

This paper considers the problem of constructing a direct coupling quantum observer for a closed linear quantum system. The proposed observer is shown to be able to estimate some but not all of the plant variables in a time averaged sense.…

Quantum Physics · Physics 2016-11-15 Ian R. Petersen

We give an explicit construction for a quantum observer coherently mimicking the dynamics of a cavity mode system and without any disturbance of the system's dynamics. This gives the exact analogue of the Luenberger observer used in…

Quantum Physics · Physics 2016-09-22 John E. Gough , Nina H. Amini

This paper considers the problem of constructing a direct coupling quantum observer for a single qubit finite level quantum system plant. The proposed observer is a single mode linear quantum system which is shown to be able to estimate one…

Quantum Physics · Physics 2014-09-10 Ian R. Petersen

This paper considers the problem of implementing a previously proposed direct coupling quantum observer for a closed linear quantum system. This observer is shown to be able to estimate some but not all of the plant variables in a time…

Quantum Physics · Physics 2015-09-11 Ian R. Petersen , Elanor H. Huntington

This paper extends previous results on constructing a direct coupling quantum observer for a quantum harmonic oscillator system. In this case, we consider a complex linear quantum system plant consisting of a network of quantum harmonic…

Quantum Physics · Physics 2016-03-17 Ian R. Petersen , Elanor H. Huntington

This paper considers the problem of constructing a direct coupling quantum observer for a quantum harmonic oscillator system. The proposed observer is shown to be able to estimate one but not both of the plant variables and produces a…

Quantum Physics · Physics 2016-03-07 Ian R. Petersen , Elanor H. Huntington

This paper is concerned with coherent quantum linear quadratic Gaussian (CQLQG) control. The problem is to find a stabilizing measurement-free quantum controller for a quantum plant so as to minimize a mean square cost for the fully quantum…

Quantum Physics · Physics 2016-09-27 Arash Kh. Sichani , Igor G. Vladimirov , Ian R. Petersen

This paper considers the problem of implementing a previously proposed distributed direct coupling quantum observer for a closed linear quantum system. By modifying the form of the previously proposed observer, the paper proposes a possible…

Quantum Physics · Physics 2017-02-22 Ian R. Petersen , Elanor H. Huntington

In the theory of quantum dynamical filtering, one of the biggest issues is that the underlying system dynamics represented by a quantum stochastic differential equation must be known exactly in order that the corresponding filter provides…

Quantum Physics · Physics 2011-11-09 Naoki Yamamoto

This paper is concerned with constructing an optimal controller in the coherent quantum Linear Quadratic Gaussian problem. A coherent quantum controller is itself a quantum system and is required to be physically realizable. The use of…

Quantum Physics · Physics 2012-05-21 Igor G. Vladimirov , Ian R. Petersen

The paper is concerned with a problem of coherent (measurement-free) filtering for physically realizable (PR) linear quantum plants. The state variables of such systems satisfy canonical commutation relations and are governed by linear…

Quantum Physics · Physics 2013-01-16 Igor G. Vladimirov , Ian R. Petersen

This paper is concerned with linear-quadratic-Gaussian (LQG) control for a field-mediated feedback connection of a plant and a coherent (measurement-free) controller. Both the plant and the controller are multimode open quantum harmonic…

Systems and Control · Electrical Eng. & Systems 2020-02-07 Igor G. Vladimirov , Ian R. Petersen

The purpose of this paper is to investigate the coherent feedback $H^\infty$ control problem for linear quantum systems. A key contribution is a simplified design methodology that guarantees closed-loop stability and a prescribed level of…

Quantum Physics · Physics 2026-04-09 Guofeng Zhang , Ian R. Petersen

We propose a method to design a suboptimal, coherent quantum LQG controller to solve a quantum equalization problem. Our method involves reformulating the problem as a control problem and then designing a classical LQG controller and…

Quantum Physics · Physics 2023-04-05 Rebbecca TY Thien , Shanon L. Vuglar , Ian R. Petersen

This paper discusses fully coherent quantum feedback control, in which the sensors, controller, and actuators are quantum systems and interact coherently with the system to be controlled: as a result, the entire feedback loop is coherent.…

Quantum Physics · Physics 2007-05-23 Seth Lloyd
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