Hybrid Filtering for a Class of Nonlinear Quantum Systems Subject to Classical Stochastic Disturbances

被引：0
|
作者：
Yu, Qi [1 ]
Dong, Daoyi [1 ]
Petersen, Ian R. [2 ]
机构：
[1] Univ New South Wales, Sch Engn & Informat Technol, Canberra, ACT 2600, Australia
[2] Australian Natl Univ, Res Sch Elect Energy & Mat Engn, Canberra, ACT 2601, Australia
来源：
IEEE TRANSACTIONS ON CYBERNETICS | 2022年 / 52卷 / 02期
基金：
澳大利亚研究理事会;
关键词：
Quantum mechanics; Qubit; Stochastic processes; Estimation; Algebra; Mathematical model; Concatenation product; finite-dimensional approximation; hybrid quantum filtering; linear stochastic process; quantum-extended Kalman filter (QEKF);
D O I：
10.1109/TCYB.2020.2985016
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A hybrid quantum-classical filtering problem, where a qubit system is disturbed by a classical stochastic process, is investigated. The strategy is to model the classical disturbance by using an optical cavity. The relations between classical disturbances and the cavity analog system are analyzed. The dynamics of the enlarged quantum network system, which includes a qubit system and a cavity system, are derived. 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. The quantum-extended Kalman filter is employed to achieve efficient computation. The numerical results are presented to illustrate the effectiveness of our methods.
引用
收藏
页码：1073 / 1085
页数：13
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