Coherent-Classical Estimation versus Purely-Classical Estimation for Linear Quantum Systems
Abstract
We consider a coherent-classical estimation scheme for a class of linear quantum systems. It comprises an estimator that is a mixed quantum-classical system without involving coherent feedback. The estimator yields a classical estimate of a variable for the quantum plant. We demonstrate that for a passive plant that can be characterized by annihilation operators only, such coherent-classical estimation provides no improvement over purely-classical estimation. An example is also given which shows that if the plant is not assumed to be an annihilation operator only quantum system, it is possible to get better estimates with such coherent-classical estimation compared with purely-classical estimation.
Cite
@article{arxiv.1403.5348,
title = {Coherent-Classical Estimation versus Purely-Classical Estimation for Linear Quantum Systems},
author = {Shibdas Roy and Ian R. Petersen and Elanor H. Huntington},
journal= {arXiv preprint arXiv:1403.5348},
year = {2015}
}
Comments
7 pages, 5 figures. Minor corrections. Accepted, 2014 Conference on Decision and Control