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http://hdl.handle.net/10397/93302
Title: | Structural characterization of linear quantum systems with application to back-action evading measurement | Authors: | Zhang, G Petersen, IR Li, J |
Issue Date: | Jul-2020 | Source: | IEEE transactions on automatic control, July 2020, v. 65, no. 7, p. 3157-3163 | 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. | Keywords: | Back-action evading (BAE) measurements Kalman canonical form Quantum linear systems |
Publisher: | Institute of Electrical and Electronics Engineers | Journal: | IEEE transactions on automatic control | ISSN: | 0018-9286 | EISSN: | 1558-2523 | DOI: | 10.1109/TAC.2019.2946234 | Rights: | © 2019 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. The following publication Zhang, G., Petersen, I. R., & Li, J. (2019). Structural characterization of linear quantum systems with application to back-action evading measurement. IEEE Transactions on Automatic Control, 65(7), 3157-3163 is available at https://doi.org/10.1109/TAC.2019.2946234 |
Appears in Collections: | Journal/Magazine Article |
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