Identification of single-input–single-output quantum linear systems
The purpose of this paper is to investigate system identification for single-input–single-output general (active or passive) quantum linear systems. For a given input we address the following questions: (1) Which parameters can be identified by measuring the output? (2) How can we construct a system...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Published: |
American Physical Society
2017
|
| Online Access: | https://eprints.nottingham.ac.uk/41083/ |
| _version_ | 1848796193206829056 |
|---|---|
| author | Levitt, Matthew Guţă, Mădălin |
| author_facet | Levitt, Matthew Guţă, Mădălin |
| author_sort | Levitt, Matthew |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | The purpose of this paper is to investigate system identification for single-input–single-output general (active or passive) quantum linear systems. For a given input we address the following questions: (1) Which parameters can be identified by measuring the output? (2) How can we construct a system realization from sufficient input-output data? We show that for time-dependent inputs, the systems which cannot be distinguished are related by symplectic transformations acting on the space of system modes. This complements a previous result of Guţă and Yamamoto [IEEE Trans. Autom. Control 61, 921 (2016)] for passive linear systems. In the regime of stationary quantum noise input, the output is completely determined by the power spectrum. We define the notion of global minimality for a given power spectrum, and characterize globally minimal systems as those with a fully mixed stationary state. We show that in the case of systems with a cascade realization, the power spectrum completely fixes the transfer function, so the system can be identified up to a symplectic transformation. We give a method for constructing a globally minimal subsystem direct from the power spectrum. Restricting to passive systems the analysis simplifies so that identifiability may be completely understood from the eigenvalues of a particular system matrix. |
| first_indexed | 2025-11-14T19:44:05Z |
| format | Article |
| id | nottingham-41083 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:44:05Z |
| publishDate | 2017 |
| publisher | American Physical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-410832020-05-04T18:38:45Z https://eprints.nottingham.ac.uk/41083/ Identification of single-input–single-output quantum linear systems Levitt, Matthew Guţă, Mădălin The purpose of this paper is to investigate system identification for single-input–single-output general (active or passive) quantum linear systems. For a given input we address the following questions: (1) Which parameters can be identified by measuring the output? (2) How can we construct a system realization from sufficient input-output data? We show that for time-dependent inputs, the systems which cannot be distinguished are related by symplectic transformations acting on the space of system modes. This complements a previous result of Guţă and Yamamoto [IEEE Trans. Autom. Control 61, 921 (2016)] for passive linear systems. In the regime of stationary quantum noise input, the output is completely determined by the power spectrum. We define the notion of global minimality for a given power spectrum, and characterize globally minimal systems as those with a fully mixed stationary state. We show that in the case of systems with a cascade realization, the power spectrum completely fixes the transfer function, so the system can be identified up to a symplectic transformation. We give a method for constructing a globally minimal subsystem direct from the power spectrum. Restricting to passive systems the analysis simplifies so that identifiability may be completely understood from the eigenvalues of a particular system matrix. American Physical Society 2017-03-22 Article PeerReviewed Levitt, Matthew and Guţă, Mădălin (2017) Identification of single-input–single-output quantum linear systems. Physical Review A, 95 (3). 033825/1-033825/15. ISSN 2469-9934 https://journals.aps.org/pra/abstract/10.1103/PhysRevA.95.033825 doi:10.1103/PhysRevA.95.033825 doi:10.1103/PhysRevA.95.033825 |
| spellingShingle | Levitt, Matthew Guţă, Mădălin Identification of single-input–single-output quantum linear systems |
| title | Identification of single-input–single-output quantum linear systems |
| title_full | Identification of single-input–single-output quantum linear systems |
| title_fullStr | Identification of single-input–single-output quantum linear systems |
| title_full_unstemmed | Identification of single-input–single-output quantum linear systems |
| title_short | Identification of single-input–single-output quantum linear systems |
| title_sort | identification of single-input–single-output quantum linear systems |
| url | https://eprints.nottingham.ac.uk/41083/ https://eprints.nottingham.ac.uk/41083/ https://eprints.nottingham.ac.uk/41083/ |