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Robust quantum control in closed and open systems: Theory and practice

Weidner, C.A., Reed, E.A., Monroe, J., Sheller, B., O'Neil, S., Maas, E., Jonckheere, E.A., Langbein, F.C. ORCID: https://orcid.org/0000-0002-3379-0323 and Schirmer, S.G. 2024. Robust quantum control in closed and open systems: Theory and practice. Automatica
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Abstract

Robust control of quantum systems is an increasingly relevant field of study amidst the second quantum revolution, but there remains a gap between taming quantum physics and robust control in its modern analytical form that culminated in fundamental performance bounds. With certain exceptions such as quantum optical systems that can be modelled as linear stochastic differential equations, quantum systems are not amenable to linear, time-invariant, measurement-based robust control techniques, and thus novel gap-bridging techniques must be developed. This survey is written for control theorists to provide a review of the current state of quantum control and outline the challenges faced in trying to apply modern robust control to quantum systems. We present issues that arise when applying classical robust control theory to quantum systems, typical methods used by quantum physicists to explore such systems and their robustness, as well as a discussion of open problems to be addressed in the field. We focus on general, practical applications and recent work to enable control researchers to contribute to advancing this burgeoning field.

Item Type: Article
Status: In Press
Schools: Computer Science & Informatics
Subjects: Q Science > QC Physics
Publisher: Elsevier
ISSN: 0005-1098
Funders: NSF IRES Grant #1829078
Date of First Compliant Deposit: 2 September 2024
Date of Acceptance: 12 August 2024
Last Modified: 26 Sep 2024 04:36
URI: https://orca.cardiff.ac.uk/id/eprint/171758

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