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

Madalin Guta, Naoki Yamamoto

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Citations (Scopus)

Abstract

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.

Original languageEnglish
Title of host publicationProceedings of the IEEE Conference on Decision and Control
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1930-1937
Number of pages8
ISBN (Print)9781467357173
DOIs
Publication statusPublished - 2013
Event52nd IEEE Conference on Decision and Control, CDC 2013 - Florence, Italy
Duration: 2013 Dec 102013 Dec 13

Other

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

Fingerprint

Hamiltonians
System Identification
Quantum Systems
Transfer Function
Transfer functions
Identification (control systems)
Linear Systems
Identifiability
Equivalence classes
Output
Quantum Control
Passive System
Unitary transformation
Equivalence class
Parametrization
Unknown Parameters
Hamiltonian Systems
Connectivity
If and only if
Unknown

ASJC Scopus subject areas

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

Cite this

Guta, M., & Yamamoto, N. (2013). Systems identification for passive linear quantum systems: The transfer function approach. In Proceedings of the IEEE Conference on Decision and Control (pp. 1930-1937). [6760164] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2013.6760164

Systems identification for passive linear quantum systems : The transfer function approach. / Guta, Madalin; Yamamoto, Naoki.

Proceedings of the IEEE Conference on Decision and Control. Institute of Electrical and Electronics Engineers Inc., 2013. p. 1930-1937 6760164.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Guta, M & Yamamoto, N 2013, Systems identification for passive linear quantum systems: The transfer function approach. in Proceedings of the IEEE Conference on Decision and Control., 6760164, Institute of Electrical and Electronics Engineers Inc., pp. 1930-1937, 52nd IEEE Conference on Decision and Control, CDC 2013, Florence, Italy, 13/12/10. https://doi.org/10.1109/CDC.2013.6760164
Guta M, Yamamoto N. Systems identification for passive linear quantum systems: The transfer function approach. In Proceedings of the IEEE Conference on Decision and Control. Institute of Electrical and Electronics Engineers Inc. 2013. p. 1930-1937. 6760164 https://doi.org/10.1109/CDC.2013.6760164
Guta, Madalin ; Yamamoto, Naoki. / Systems identification for passive linear quantum systems : The transfer function approach. Proceedings of the IEEE Conference on Decision and Control. Institute of Electrical and Electronics Engineers Inc., 2013. pp. 1930-1937
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