Geometric quantum speed limits: a case for Wigner phase space

dc.contributor.authorDeffner, Sebastian
dc.date.accessioned2020-08-12T16:57:05Z
dc.date.available2020-08-12T16:57:05Z
dc.date.issued2017-10-20
dc.description.abstractThe quantum speed limit is a fundamental upper bound on the speed of quantum evolution. However, the actual mathematical expression of this fundamental limit depends on the choice of a measure of distinguishability of quantum states. We show that quantum speed limits are qualitatively governed by the Schatten-p-norm of the generator of quantum dynamics. Since computing Schatten-p-norms can be mathematically involved, we then develop an alternative approach in Wigner phase space. We find that the quantum speed limit in Wigner space is fully equivalent to expressions in density operator space, but that the new bound is significantly easier to compute. Our results are illustrated for the parametric harmonic oscillator and for quantum Brownian motion.en_US
dc.description.sponsorshipThe author would like to thank Steve Campbell for insightful discussions. This work was supported by the US National Science Foundation under Grant No. CHE-1648973.en_US
dc.description.urihttps://iopscience.iop.org/article/10.1088/1367-2630/aa83dcen_US
dc.format.extent10 pagesen_US
dc.genrejournal articlesen_US
dc.identifierdoi:10.13016/m2p9xl-fqvv
dc.identifier.citationSebastian Deffner, Geometric quantum speed limits: a case for Wigner phase space, New J. Phys. 19 103018, https://doi.org/10.1088/1367-2630/aa83dcen_US
dc.identifier.urihttps://doi.org/10.1088/1367-2630/aa83dc
dc.identifier.urihttp://hdl.handle.net/11603/19409
dc.language.isoen_USen_US
dc.publisherIOPen_US
dc.relation.isAvailableAtThe University of Maryland, Baltimore County (UMBC)
dc.relation.ispartofUMBC Physics Department Collection
dc.relation.ispartofUMBC Joint Center for Earth Systems Technology (JCET)
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.
dc.rightsAttribution 3.0 Unported*
dc.rights.urihttps://creativecommons.org/licenses/by/3.0/*
dc.titleGeometric quantum speed limits: a case for Wigner phase spaceen_US
dc.typeTexten_US

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