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Analyzing and Unifying Robustness Measures for Excitation Transfer Control in Spin Networks

S. P. O’Neil Orcid Logo, I. Khalid, A. A. Rompokos, C. A. Weidner Orcid Logo, F. C. Langbein Orcid Logo, Sophie Shermer Orcid Logo, E. A. Jonckheere Orcid Logo

IEEE Control Systems Letters, Volume: 7, Pages: 1783 - 1788

Swansea University Author: Sophie Shermer Orcid Logo

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DOI (Published version): 10.1109/lcsys.2023.3279797

Abstract

Recent achievements in quantum control have resulted in advanced techniques for designing controllers for applications in quantum communication, computing, and sensing. However, the susceptibility of such systems to noise and uncertainties necessitates robust controllers that perform effectively und...

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Published in: IEEE Control Systems Letters
ISSN: 2475-1456
Published: Institute of Electrical and Electronics Engineers (IEEE) 2023
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URI: https://cronfa.swan.ac.uk/Record/cronfa63618
first_indexed 2023-06-10T00:00:40Z
last_indexed 2024-11-15T18:01:58Z
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spelling 2023-07-18T13:04:06.8564922 v2 63618 2023-06-10 Analyzing and Unifying Robustness Measures for Excitation Transfer Control in Spin Networks 6ebef22eb31eafc75aedcf5bfe487777 0000-0002-5530-7750 Sophie Shermer Sophie Shermer true false 2023-06-10 BGPS Recent achievements in quantum control have resulted in advanced techniques for designing controllers for applications in quantum communication, computing, and sensing. However, the susceptibility of such systems to noise and uncertainties necessitates robust controllers that perform effectively under these conditions to realize the full potential of quantum devices. The time-domain log-sensitivity and a recently introduced robustness infidelity measure (RIM) are two means to quantify controller robustness in quantum systems. The former can be found analytically, while the latter requires Monte-Carlo sampling. In this letter, the correlation between the log-sensitivity and the RIM for evaluating the robustness of single excitation transfer fidelity in spin chains and rings in the presence of dephasing is investigated. We show that the expected differential sensitivity of the error agrees with the differential sensitivity of the RIM, where the expectation is over the error probability distribution. Statistical analysis also demonstrates that the log-sensitivity and the RIM are linked via the differential sensitivity, and that the differential sensitivity and RIM are highly concordant. This unification of two means (one analytic and one via sampling) to assess controller robustness in a variety of realistic scenarios provides a first step in unifying various tools to model and assess robustness of quantum controllers. Journal Article IEEE Control Systems Letters 7 1783 1788 Institute of Electrical and Electronics Engineers (IEEE) 2475-1456 Robustness, Sensitivity, Uncertainty, Robust control, Quantum system, Perturbation methods, Performance evaluation 1 1 2023 2023-01-01 10.1109/lcsys.2023.3279797 http://dx.doi.org/10.1109/lcsys.2023.3279797 COLLEGE NANME Biosciences Geography and Physics School COLLEGE CODE BGPS Swansea University 10.13039/100006751-US Army’s Advanced Civil Schooling program 2023-07-18T13:04:06.8564922 2023-06-10T00:57:43.6065252 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics S. P. O’Neil 0000-0001-6669-4947 1 I. Khalid 2 A. A. Rompokos 3 C. A. Weidner 0000-0001-7776-9836 4 F. C. Langbein 0000-0002-3379-0323 5 Sophie Shermer 0000-0002-5530-7750 6 E. A. Jonckheere 0000-0002-7205-4273 7 63618__27876__a40cfb47012d47cf8d57b3829216526e.pdf 63618.pdf 2023-06-19T11:22:13.4395637 Output 1303365 application/pdf Accepted Manuscript true true eng
title Analyzing and Unifying Robustness Measures for Excitation Transfer Control in Spin Networks
spellingShingle Analyzing and Unifying Robustness Measures for Excitation Transfer Control in Spin Networks
Sophie Shermer
title_short Analyzing and Unifying Robustness Measures for Excitation Transfer Control in Spin Networks
title_full Analyzing and Unifying Robustness Measures for Excitation Transfer Control in Spin Networks
title_fullStr Analyzing and Unifying Robustness Measures for Excitation Transfer Control in Spin Networks
title_full_unstemmed Analyzing and Unifying Robustness Measures for Excitation Transfer Control in Spin Networks
title_sort Analyzing and Unifying Robustness Measures for Excitation Transfer Control in Spin Networks
author_id_str_mv 6ebef22eb31eafc75aedcf5bfe487777
author_id_fullname_str_mv 6ebef22eb31eafc75aedcf5bfe487777_***_Sophie Shermer
author Sophie Shermer
author2 S. P. O’Neil
I. Khalid
A. A. Rompokos
C. A. Weidner
F. C. Langbein
Sophie Shermer
E. A. Jonckheere
format Journal article
container_title IEEE Control Systems Letters
container_volume 7
container_start_page 1783
publishDate 2023
institution Swansea University
issn 2475-1456
doi_str_mv 10.1109/lcsys.2023.3279797
publisher Institute of Electrical and Electronics Engineers (IEEE)
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
url http://dx.doi.org/10.1109/lcsys.2023.3279797
document_store_str 1
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description Recent achievements in quantum control have resulted in advanced techniques for designing controllers for applications in quantum communication, computing, and sensing. However, the susceptibility of such systems to noise and uncertainties necessitates robust controllers that perform effectively under these conditions to realize the full potential of quantum devices. The time-domain log-sensitivity and a recently introduced robustness infidelity measure (RIM) are two means to quantify controller robustness in quantum systems. The former can be found analytically, while the latter requires Monte-Carlo sampling. In this letter, the correlation between the log-sensitivity and the RIM for evaluating the robustness of single excitation transfer fidelity in spin chains and rings in the presence of dephasing is investigated. We show that the expected differential sensitivity of the error agrees with the differential sensitivity of the RIM, where the expectation is over the error probability distribution. Statistical analysis also demonstrates that the log-sensitivity and the RIM are linked via the differential sensitivity, and that the differential sensitivity and RIM are highly concordant. This unification of two means (one analytic and one via sampling) to assess controller robustness in a variety of realistic scenarios provides a first step in unifying various tools to model and assess robustness of quantum controllers.
published_date 2023-01-01T02:40:09Z
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