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Applying classical control techniques to quantum systems: entanglement versus stability margin and other limitations

Weidner, Carrie A., Schirmer, Sophie G., Langbein, Frank C. ORCID: and Jonckheere, Edmond 2022. Applying classical control techniques to quantum systems: entanglement versus stability margin and other limitations. Presented at: IEEE Conference Decision and Control 2022, Cancún, Mexico, 6-9 December 2022. IEEE 61st Conference on Decision and Control (CDC). IEEE, pp. 5813-5818. 10.1109/CDC51059.2022.9992337

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Development of robust quantum control has been challenging and there are numerous obstacles to applying classical robust control to quantum system including bilinearity, marginal stability, state preparation errors, nonlinear figures of merit. The requirement of marginal stability, while not satisfied for closed quantum systems, can be satisfied for open quantum systems where Lindbladian behavior leads to non-unitary evolution, and allows for nonzero classical stability margins, but it remains difficult to extract physical insight when classical robust control tools are applied to these systems. We consider a straightforward example of the entanglement between two qubits dissipatively coupled to a lossy cavity and analyze it using the classical stability margin and structured perturbations. We attempt, where possible, to extract physical insight from these analyses. Our aim is to highlight where classical robust control can assist in the analysis of quantum systems and identify areas where more work needs to be done to develop specific methods for quantum robust control.

Item Type: Conference or Workshop Item (Paper)
Date Type: Publication
Status: Published
Schools: Computer Science & Informatics
Subjects: Q Science > QC Physics
Additional Information: © 2022 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.
Publisher: IEEE
Date of First Compliant Deposit: 13 August 2022
Date of Acceptance: 15 July 2022
Last Modified: 10 Jun 2023 01:44

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