Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/93306
DC Field | Value | Language |
---|---|---|
dc.contributor | Department of Applied Mathematics | en_US |
dc.creator | Zhang, G | en_US |
dc.creator | Petersen, IR | en_US |
dc.date.accessioned | 2022-06-15T03:42:41Z | - |
dc.date.available | 2022-06-15T03:42:41Z | - |
dc.identifier.issn | 0005-1098 | en_US |
dc.identifier.uri | http://hdl.handle.net/10397/93306 | - |
dc.language.iso | en | en_US |
dc.publisher | Pergamon Press | en_US |
dc.rights | © 2019 Elsevier Ltd. All rights reserved. | en_US |
dc.rights | © 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/ | en_US |
dc.rights | The following publication Zhang, G., & Petersen, I. R. (2020). Structural decomposition for quantum two-level systems. Automatica, 113, 108751 is available at https://doi.org/10.1016/j.automatica.2019.108751 | en_US |
dc.subject | Controllability | en_US |
dc.subject | Observability | en_US |
dc.subject | Quantum control | en_US |
dc.subject | Two-level quantum systems | en_US |
dc.title | Structural decomposition for quantum two-level systems | en_US |
dc.type | Journal/Magazine Article | en_US |
dc.identifier.volume | 113 | en_US |
dc.identifier.doi | 10.1016/j.automatica.2019.108751 | en_US |
dcterms.abstract | An input–output model of a two-level quantum system in the Heisenberg picture is of bilinear form with constant system matrices, which allows the introduction of the concepts of controllability and observability in analogy with those of quantum linear systems. By means of the notions of controllability and observability, coordinate transformations, which are rotation matrices, can be constructed explicitly that transform an input–output model to a new one. The new input–output model enables us to investigate many interesting properties of the two-level quantum system, such as steady-state solutions to the Lindblad master equation, quantum decoherence-free (DF) subspaces, quantum non-demolition (QND) variables, and the realization of quantum back-action evading (BAE) measurements. The physical system in Wang and Wiseman (2001) is re-studied to illustrate the results presented in this paper. | en_US |
dcterms.accessRights | open access | en_US |
dcterms.bibliographicCitation | Automatica, Mar. 2020, v. 113, 108751 | en_US |
dcterms.isPartOf | Automatica | en_US |
dcterms.issued | 2020-03 | - |
dc.identifier.scopus | 2-s2.0-85076454026 | - |
dc.identifier.artn | 108751 | en_US |
dc.description.validate | 202206 bcfc | en_US |
dc.description.oa | Accepted Manuscript | en_US |
dc.identifier.FolderNumber | AMA-0197 | - |
dc.description.fundingSource | RGC | en_US |
dc.description.pubStatus | Published | en_US |
dc.identifier.OPUS | 23264228 | - |
Appears in Collections: | Journal/Magazine Article |
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File | Description | Size | Format | |
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Zhang_Structural_Decomposition_Quantum.pdf | Pre-Published version | 914.17 kB | Adobe PDF | View/Open |
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