Reverse engineering of one-qubit filter functions with dynamical invariants

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dc.contributor.authorColmenar, R. K. L.
dc.contributor.authorKestner, J. P.
dc.date.accessioned2022-06-23T16:33:10Z
dc.date.available2022-06-23T16:33:10Z
dc.date.issued2022-09-15
dc.description.abstractWe derive an integral expression for the filter-transfer function of an arbitrary one-qubit gate through the use of dynamical invariant theory and Hamiltonian reverse engineering. We use this result to define a cost functional which can be efficiently optimized to produce one-qubit control pulses that are robust against specified frequency bands of the noise power spectral density. We demonstrate the utility of our result by generating optimal control pulses that are designed to suppress broadband detuning and pulse amplitude noise. We report an order of magnitude improvement in gate fidelity in comparison with known composite pulse sequences. More broadly, we also use the same theoretical framework to prove the robustness of nonadiabatic geometric quantum gates under specific error models and control constraints.en_US
dc.description.sponsorshipThe authors acknowledge support from the National Science Foundation under Grant No. 1915064.
dc.description.urihttps://journals.aps.org/pra/abstract/10.1103/PhysRevA.106.032611en_US
dc.format.extent12 pagesen_US
dc.genrejournal articlesen_US
dc.identifierdoi:10.13016/m2g6wj-afad
dc.identifier.citationColmenar, R. K. L., and J. P. Kestner. "Reverse engineering of one-qubit filter functions with dynamical invariants." Phys. Rev. A 106, 032611 (15 September 2022). https://doi.org/10.1103/PhysRevA.106.032611
dc.identifier.urihttps://doi.org/10.1103/PhysRevA.106.032611
dc.identifier.urihttp://hdl.handle.net/11603/25026
dc.language.isoen_USen_US
dc.publisherAPS
dc.relation.isAvailableAtThe University of Maryland, Baltimore County (UMBC)
dc.relation.ispartofUMBC Physics Department Collection
dc.relation.ispartofUMBC Faculty Collection
dc.relation.ispartofUMBC Student Collection
dc.rights©2022 American Physical Society
dc.titleReverse engineering of one-qubit filter functions with dynamical invariantsen_US
dc.typeTexten_US
dcterms.creatorhttps://orcid.org/0000-0003-4370-4887

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