# Design of coherent quantum observers for linear quantum systems

Abstract : Quantum versions of control problems are often more difficult than their classical counterparts because of the additional constraints imposed by quantum dynamics. For example, the quantum LQG and quantum ${{H}^{\infty }}$ optimal control problems remain open. To make further progress, new, systematic and tractable methods need to be developed. This paper gives three algorithms for designing coherent quantum observers, i.e., quantum systems that are connected to a quantum plant and their outputs provide information about the internal state of the plant. Importantly, coherent quantum observers avoid measurements of the plant outputs. We compare our coherent quantum observers with a classical (measurement-based) observer by way of an example involving an optical cavity with thermal and vacuum noises as inputs.
Document type :
Journal articles
Domain :

https://hal.archives-ouvertes.fr/hal-01719089
Contributor : Nina Amini <>
Submitted on : Tuesday, February 27, 2018 - 11:00:02 PM
Last modification on : Friday, March 9, 2018 - 1:05:27 PM

### Citation

Shanon Vuglar, Nina H. Amini. Design of coherent quantum observers for linear quantum systems. New Journal of Physics, Institute of Physics: Open Access Journals, 2014, 16 (12), ⟨10.1088/1367-2630/16/12/125005⟩. ⟨hal-01719089⟩

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