Structural Characterization of Linear Quantum Systems With Application to Back-Action Evading Measurement

Date

2020

Authors

Zhang, Guofeng
Petersen, Ian
Li, Jinghao

Journal Title

Journal ISSN

Volume Title

Publisher

Institute of Electrical and Electronics Engineers (IEEE Inc)

Abstract

The purpose of this article is to study the structure of quantum linear systems in terms of their Kalman canonical form, which was proposed in a recent paper. The spectral structure of quantum linear systems is explored, which indicates that a quantum linear system is both controllable and observable provided that it is Hurwitz stable. A new parameterization method for quantum linear systems is proposed. This parameterization is designed for the Kalman canonical form directly. Consequently, the parameters involved are in a blockwise form in correspondence with the blockwise structure of the Kalman canonical form. This parameter structure can be used to simplify various quantum control design problems. For example, necessary and sufficient conditions for the realization of quantum back-action evading (BAE) measurements are given in terms of these new parameters. Due to their blockwise nature, a small number of parameters are required for realizing quantum BAE measurements.

Description

Keywords

Back-action evading(BAE )measurements, Kalman canonical form, quantum linear systems

Citation

Source

IEEE Transactions on Automatic Control

Type

Journal article

Book Title

Entity type

Access Statement

Open Access

License Rights

DOI

10.1109/TAC.2019.2946234

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