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Sensitivity and robustness of quantum spin-1/2 rings to parameter uncertainty

O'Neil, Sean, Jonckheere, Edmond, Schirmer, Sophie and Langbein, Frank C. ORCID: 2018. Sensitivity and robustness of quantum spin-1/2 rings to parameter uncertainty. Presented at: IEEE 56th Annual Conference on Decision and Control (CDC) 2017, Melbourne, Australia, 12-15 December 2017. IEEE 56th Annual Conference on Decision and Control (CDC) 2017. IEEE, pp. 6137-6142. 10.1109/CDC.2017.8264584

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Selective transfer of information between spin-1/2 particles arranged in a ring is achieved by optimizing the transfer fidelity over a readout time window via shaping, externally applied, static bias fields. Such static control fields have properties that clash with the expectations of classical control theory. Previous work has shown that there are cases in which the logarithmic differential sensitivity of the transfer fidelity to uncertainty in coupling strength or spillage of the bias field to adjacent spins is minimized by controllers that produce the best fidelity. Here we expand upon these examples and examine cases of both classical and non-classical behavior of logarithmic sensitivity to parameter uncertainty and robustness as measured by the μ function for quantum systems. In particular we examine these properties in an 11-spin ring with a single uncertainty in coupling strength or a single bias spillage.

Item Type: Conference or Workshop Item (Paper)
Date Type: Publication
Status: Published
Schools: Computer Science & Informatics
Publisher: IEEE
ISBN: 978-1-5090-2873-3
Funders: Sêr Cymru NRN AEM, grant 082
Date of First Compliant Deposit: 31 August 2017
Date of Acceptance: 12 July 2017
Last Modified: 10 Jun 2023 01:44

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