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Hybrid Filtering for a Class of Quantum Systems with Classical Disturbances [article]

Qi Yu, Daoyi Dong, Ian R. Petersen, Qing Gao
2017 arXiv   pre-print
A filtering problem for a class of quantum systems disturbed by a classical stochastic process is investigated in this paper.  ...  An estimate of the classical stochastic process is derived from the estimate of the combined quantum system.  ...  ACKNOWLEDGEMENTS Discussions with Muhammad Fuady Emzir are gratefully acknowledged.  ... 
arXiv:1703.08976v1 fatcat:n5652ynnv5egxoaedfyjrzmvzu

Hybrid filtering for a class of nonlinear quantum systems subject to classical stochastic disturbances [article]

Qi Yu, Daoyi Dong, Ian R. Petersen
2020 arXiv   pre-print
A hybrid quantum-classical filtering problem, where a qubit system is disturbed by a classical stochastic process, is investigated.  ...  A stochastic master equation for the qubit-cavity hybrid system is given, based on which estimates for the state of the cavity system and the classical signal are obtained.  ...  and fault detection problems for a class of quantum systems subject to stochastic faults.  ... 
arXiv:2004.07050v1 fatcat:im4untwyuna3pobpr6it5ykuqi

Page 5919 of Mathematical Reviews Vol. , Issue 86m [page]

1986 Mathematical Reviews  
From the introduction: “In this paper we consider a Bayes control for a discrete-time linear system with additive disturbances {v,,} and a random bounded time horizon, where vy, is a disturbance of the  ...  5919 Szajowski, Krzysztof; Trybuta, Stanistaw 86m:93075 Bayes control of a discrete time linear system with random disturbances. Random horizon case.  ... 

Closed-Loop and Robust Control of Quantum Systems

Chunlin Chen, Lin-Cheng Wang, Yuanlong Wang
2013 The Scientific World Journal  
to provide interested readers with a general idea for further studies.  ...  This work presents a self-contained survey on the closed-loop and robust control of quantum systems, as well as a brief introduction to a selection of basic theories and methods in this research area,  ...  Take the class of linear noncommutative stochastic systems in [17] for example, which encompasses some quantum and classical systems: ( ) = ( ) + ( ) , (0) = 0 , ( ) = ( ) + ( ) , (8) where , , , and  ... 
doi:10.1155/2013/869285 pmid:23997680 pmcid:PMC3749599 fatcat:2qeui5npvrgzpmkw3qcm76oqsy

H∞ filter design for quantum stochastic systems

Meng Xiangyu, James Lam, Gao Huijun
2008 2008 27th Chinese Control Conference  
This paper is concerned with the H∞ filtering problem for a class of noncommutative linear stochastic systems, among which quantum technology has been well recognized to be a typical example.  ...  A new structure of slack variables is introduced to solve the H∞ filtering problem which gives a sufficient condition for the existence of desired H∞ filters for quantum systems in terms of linear matrix  ...  Daoyi Dong for his generous help and insightful discussions on this research. The work was partially supported by RGC HKU 7028/04P.  ... 
doi:10.1109/chicc.2008.4605632 fatcat:5bvhgg5wirepzpjqbv5w7peed4

Hidden nonmacrorealism: reviving the Leggett-Garg inequality with stochastic operations [article]

Huan-Yu Ku, Hao-Cheng Weng, Yen-An Shih, Po-Chen Kuo, Neill Lambert, Franco Nori, Chih-Sung Chuu, Yueh-Nan Chen
2021 arXiv   pre-print
As a proof-of-principle experiment, we demonstrate the stochastic pre- and post- operations in an amplitude-damping channel with photonic qubits.  ...  In this work, we propose a class of the channels which, initially, cannot violate LGI (in the form of the temporal Bell inequality) but can violate it after the application of stochastic pre- and post-  ...  ACKNOWLEDGMENTS The authors acknowledge fruitful discussions with S.-L. Chen  ... 
arXiv:2105.08273v2 fatcat:egfnvr4vqrgh7jrruycpmpgzse

LQG feedback control of a class of linear non-Markovian quantum systems

Shibei Xue, Matthew R. James, Valery Ugrinovskii, Ian R. Petersen
2016 2016 American Control Conference (ACC)  
In this paper we present a linear quadratic Gaussian (LQG) feedback control strategy for a class of linear non-Markovian quantum systems.  ...  The feedback control law is designed based on the estimated states of a whitening quantum filter for an augmented Markovian model of the non-Markovian open quantum systems.  ...  MARKOVIAN REPRESENTATION FOR A CLASS OF NON-MARKOVIAN QUANTUM SYSTEMS DISTURBED BY LORENTZIAN NOISE In this section, we consider a class of non-Markovian quantum systems disturbed by Lorentzian noise  ... 
doi:10.1109/acc.2016.7526109 dblp:conf/amcc/XueJUP16 fatcat:nqnimkknt5bobjjuu4z5vkhztu

An Exponential Quantum Projection Filter for Open Quantum Systems [article]

Qing Gao, Guofeng Zhang, Ian R. Petersen
2018 arXiv   pre-print
An approximate exponential quantum projection filtering scheme is developed for a class of open quantum systems described by Hudson- Parthasarathy quantum stochastic differential equations, aiming to reduce  ...  It is also shown that when the quantum projection filtering approach is applied to a class of open quantum systems that asymptotically converge to a pure state, the input-to-state stability of the corresponding  ...  The convergence capability of the exponential quantum projection filter for a special class of open quantum systems is also discussed.  ... 
arXiv:1705.09114v2 fatcat:wcpl6rdazfbkfiqlwqyldupc3m

RobustH∞estimation of uncertain linear quantum systems

Shibdas Roy, Ian R. Petersen
2016 International Journal of Robust and Nonlinear Control  
We consider classical estimators for a class of physically realizable linear quantum systems. Optimal estimation using a complex Kalman filter for this problem has been previously explored.  ...  Here, we study robust H_∞ estimation for uncertain linear quantum systems. The estimation problem is solved by converting it to a suitably scaled H_∞ control problem.  ...  Obaid Ur Rehman for useful discussion related to this work.  ... 
doi:10.1002/rnc.3530 fatcat:jaokfuj7cbgyrb3wozxmh3qwlq

Page 10385 of Mathematical Reviews Vol. , Issue 2004m [page]

2004 Mathematical Reviews  
A 37 (2004), no. 9, 3189-3209. Summary: “A derivation of Belavkin’s stochastic Schrédinger equations is given using quantum filtering theory.  ...  It is shown that the quantum stochastic Langevin model for con- tinuous measurement provides an exact formulation of the von Neumann uncertainty error-disturbance principle.  ... 

Optimal Quantum Filtering and Quantum Feedback Control [article]

S. C. Edwards, V. P. Belavkin
2005 arXiv   pre-print
Using a quantum noise model to describe the stochastic evolution of the open quantum system and working in parallel with classical indeterministic control theory, we present the theory of nonlinear optimal  ...  The resulting quantum Bellman equation is then applied to the explicitly solvable quantum linear-quadratic-Gaussian (LQG) problem which emphasizes many similarities with the corresponding classical control  ...  The quantum noise which we filter out comes from the disturbance to the system due to the quantum measurement.  ... 
arXiv:quant-ph/0506018v2 fatcat:npnkc32t3jcqxip5xfjroab6vm

Finite horizon H∞ control for a class of linear quantum measurement delayed systems: A dynamic game approach

Aline I. Maalouf, Ian R. Petersen
2011 Proceedings of the 2011 American Control Conference  
In this paper, a finite horizon H ∞ control problem is solved for a class of linear quantum systems using a dynamic game approach for the case of delayed measurements.  ...  Then, the finite horizon H ∞ control problem for the class of linear quantum systems under consideration is solved for the case of delayed measurements by solving the finite horizon H ∞ control problem  ...  The Plant Model We consider a class of linear quantum dynamical systems described in the Heisenberg picture by a set of quantum stochastic differential equations; see [2] and [3] .  ... 
doi:10.1109/acc.2011.5990635 fatcat:aki2bd5zybhi7a7m5lzc2nzf3a

Robust H∞ coherent-classical estimation of linear quantum systems

Shibdas Roy, Ian R. Petersen
2016 2016 Australian Control Conference (AuCC)  
We study robust H_∞ coherent-classical estimation for a class of physically realizable linear quantum systems with parameter uncertainties.  ...  Such a robust coherent-classical estimator, with or without coherent feedback, can yield better disturbance-to-error performance than the corresponding robust purely-classical estimator for an uncertain  ...  Linear quantum systems [1] - [4] , [6] , [7] are an important class of quantum systems, and allow for describing quantum optical devices such as finite bandwidth squeezers [7] , optical cavities  ... 
doi:10.1109/aucc.2016.7868220 dblp:conf/aucc/RoyP16 fatcat:vunobm7tcjcgznvqpozx7x26e4

Modelling and Filtering for Non-Markovian Quantum Systems [article]

Shibei Xue, Thien Nguyen, Matthew R. James, Alireza Shabani, Valery Ugrinovskii, Ian R. Petersen
2017 arXiv   pre-print
To demonstrate the utility of the proposed augmented system model, it is applied to design whitening quantum filters for non-Markovian quantum systems.  ...  Examples are presented to illustrate how whitening quantum filters can be utilized for estimating non-Markovian linear quantum systems and qubit systems.  ...  When the dimension of the extended Hilbert space is large, the calculation speed for the whitening quantum filter may be slow.  ... 
arXiv:1704.00986v1 fatcat:jkipxzpvy5gubjiervdwfv2i3q

Quantum control theory and applications: a survey

D. Dong, I.R. Petersen
2010 IET Control Theory & Applications  
This paper presents a survey on quantum control theory and applications from a control systems perspective.  ...  In the area of open-loop quantum control, the paper surveys the notion of controllability for quantum systems and presents several control design strategies including optimal control, Lyapunov-based methodologies  ...  An H ∞ controller synthesis problem has been formulated for a class of linear quantum stochastic systems [55] .  ... 
doi:10.1049/iet-cta.2009.0508 fatcat:2qi6j4ehinbinpsycdj6oyof4i
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