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

Guofeng Zhang, Ian R. Petersen, Jinghao Li

Research output: Journal article publicationJournal articleAcademic researchpeer-review

2 Citations (Scopus)


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.

Original languageEnglish
Article number8862949
Pages (from-to)3157-3163
Number of pages7
JournalIEEE Transactions on Automatic Control
Issue number7
Publication statusPublished - Jul 2020


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

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering


Dive into the research topics of 'Structural Characterization of Linear Quantum Systems with Application to Back-Action Evading Measurement'. Together they form a unique fingerprint.

Cite this