Structured singular value analysis for spintronics network information transfer control

Jonckheere, Edmond A., Schirmer, Sophie G. and Langbein, Frank C. ORCID: https://orcid.org/0000-0002-3379-0323 2017. Structured singular value analysis for spintronics network information transfer control. IEEE Transactions on Automatic Control 62 (12) , pp. 6568-6574. 10.1109/TAC.2017.2714623

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Abstract

Control laws for selective transfer of information encoded in excitations of a quantum network, based on shaping the energy landscape using time-invariant, spatially-varying bias fields, can be successfully designed using numerical optimization. Such control laws, already departing from classicality by replacing closed-loop asymptotic stability with alternative notions of localization, have the intriguing property that for all practical purposes they achieve the upper bound on the fidelity, yet the (logarithmic) sensitivity of the fidelity to such structured perturbation as spin coupling errors and bias field leakages is nearly vanishing. Here, these differential sensitivity results are extended to large structured variations using $\mu$-design tools to reveal a crossover region in the space of controllers where objectives usually thought to be conflicting are actually concordant.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Computer Science & Informatics
Subjects:	Q Science > QA Mathematics Q Science > QC Physics
Uncontrolled Keywords:	Quantum mechanics, spin polarized transport, spintronics, robust control, sensitivity analysis, uncertain systems
Additional Information:	This work is licensed under a Creative Commons Attribution 3.0 License. For more information, see http://creativecommons.org/licenses/by/3.0/
Publisher:	Institute of Electrical and Electronics Engineers (IEEE)
ISSN:	0018-9286
Funders:	ARO MURI W911NF-11-1-0268, Ser Cymru National Research Network for Advanced Engineering and Materials (grant NRN 082)
Date of First Compliant Deposit:	12 June 2017
Date of Acceptance:	30 May 2017
Last Modified:	05 May 2023 01:09
URI:	https://orca.cardiff.ac.uk/id/eprint/101340

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