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Coherent-classical estimation for linear quantum systems

delete2017-08-01
delete6
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OA
AI
S
Shibdas Roy *
I
Ian R. Petersen
E
Elanor H. Huntington
DOI:10.1016/j.automatica.2017.04.034delete
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Abstract

Abstract

En 中文
We study a coherent-classical estimation scheme for a class of linear quantum systems, where the estimator is a mixed quantum-classical system that may or may not involve coherent feedback. We show that when the quantum plant or the quantum part of the estimator (coherent controller) is an annihilation operator only system, coherent-classical estimation without coherent feedback can provide no improvement over purely-classical estimation. Otherwise, coherent-classical estimation without feedback can be better than classical-only estimation for certain homodyne detector angles, although the former is inferior to the latter for the best choice of homodyne detector angle. Moreover, we show that coherent-classical estimation with coherent feedback is no better than classical-only estimation, when both the plant and the coherent controller are annihilation operator only systems. Otherwise, coherent classical estimation with coherent feedback can be superior to purely-classical estimation, and in this case, the former is better than the latter for the optimal choice of homodyne detector angle. (C) 2017 Elsevier Ltd. All rights reserved.
Keywords:
Annihilation-operator
Coherent-classical
Estimation
Kalman filter
Quantum plant
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Journal

Automatica cover
Automatica
IF:
5.9
Papers:
1.2W
Citations:
5.2W

Organization

A
Australian National University
Scholars:
2.1W
Papers: 2.3W
Citations: 3.9W
U
University of Warwick
Scholars:
2.2W
Papers: 2.2W
Citations: 85
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