Systems identification for passive linear quantum systems: The transfer function approach

Madalin Guta, Naoki Yamamoto

研究成果: Conference contribution

5 被引用数 (Scopus)

抄録

System identification is a key enabling component for the implementation of new quantum technologies, including quantum control. In this paper we consider a large class of input-output systems, namely linear passive quantum systems, and study the following identifiability question: if the system's Hamiltonian and coupling matrices are unknown, which of these dynamical parameters can be estimated by preparing appropriate input states and performing measurements on the output? The input-output mapping is explicitly given by the transfer function, which contains the maximum information about the system.We show that two minimal systems are indistinguishable (have the same transfer function) if and only if their Hamiltonians and the coupling to the input fields are related by a unitary transformation. Furthermore, we provide a canonical parametrization of the equivalence classes of indistinguishable systems. For models depending on (possibly lower dimensional) unknown parameters, we give a practical identifiability condition which is illustrated on several examples. In particular, we show that systems satisfying a certain Hamiltonian connectivity condition called "infecting", are completely identifiable.

本文言語English
ホスト出版物のタイトル2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013
出版社Institute of Electrical and Electronics Engineers Inc.
ページ1930-1937
ページ数8
ISBN(印刷版)9781467357173
DOI
出版ステータスPublished - 2013
イベント52nd IEEE Conference on Decision and Control, CDC 2013 - Florence, Italy
継続期間: 2013 12 102013 12 13

出版物シリーズ

名前Proceedings of the IEEE Conference on Decision and Control
ISSN(印刷版)0191-2216

Other

Other52nd IEEE Conference on Decision and Control, CDC 2013
CountryItaly
CityFlorence
Period13/12/1013/12/13

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization

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