Conditions for Equivalent Noise Sensitivity of Geometric and Dynamical Quantum Gates

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dc.contributor.authorColmenar, Ralph Kenneth
dc.contributor.authorGüngördü, Utkan
dc.contributor.authorKestner, J. P.
dc.date.accessioned2022-08-02T21:11:07Z
dc.date.available2022-08-02T21:11:07Z
dc.date.issued2022-07-19
dc.description.abstractGeometric quantum gates are often expected to be more resilient than dynamical gates against certain types of error, which would make them ideal for robust quantum computing. However, this is still up for debate due to seemingly conflicting results in the literature. Here we use dynamical invariant theory in conjunction with filter functions in order to analytically characterize the noise sensitivity of an arbitrary quantum gate. For any control Hamiltonian that produces a geometric gate, we find that, under certain common conditions, one can construct another control Hamiltonian that produces an equivalent dynamical gate with identical noise sensitivity (as characterized by the filter function). Our result holds for a Hilbert space of arbitrary dimensions, but we illustrate our result by examining experimentally relevant single-qubit scenarios and providing explicit examples of equivalent geometric and dynamical gates.en_US
dc.description.sponsorshipR.K.L.C. and J.P.K. acknowledge support from the National Science Foundation under Grant No. 1915064, and U.G. acknowledges support from the Army Research Office under Grant No. W911NF-17-1-0287.en_US
dc.description.urihttps://journals.aps.org/prxquantum/abstract/10.1103/PRXQuantum.3.030310en_US
dc.format.extent15 pagesen_US
dc.genrejournal articlesen_US
dc.identifierdoi:10.13016/m2jald-vlft
dc.identifier.citationColmenar, R. K. L., Utkan Güngördü and J. P. Kestner. “Conditions for Equivalent Noise Sensitivity of Geometric and Dynamical Quantum Gates.” PRX Quantum 3, no. 3 (19 July 2022). https://doi.org/10.1103/PRXQuantum.3.030310en_US
dc.identifier.urihttps://doi.org/10.1103/PRXQuantum.3.030310
dc.identifier.urihttp://hdl.handle.net/11603/25272
dc.language.isoen_USen_US
dc.publisherAPSen_US
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.rightsThis item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author.en_US
dc.rightsAttribution 4.0 International (CC BY 4.0)*
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/*
dc.titleConditions for Equivalent Noise Sensitivity of Geometric and Dynamical Quantum Gatesen_US
dc.typeTexten_US
dcterms.creatorhttps://orcid.org/0000-0003-4370-4887en_US
dcterms.creatorhttps://orcid.org/0000-0002-4256-1274en_US

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