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The roles of drift and control field constraints upon quantum control speed limits

Author(s): Arenz, Christian; Russell, Benjamin M.; Burgarth, Daniel Klaus; Rabitz, Herschel A.

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dc.contributor.authorArenz, Christian-
dc.contributor.authorRussell, Benjamin M.-
dc.contributor.authorBurgarth, Daniel Klaus-
dc.contributor.authorRabitz, Herschel A.-
dc.date.accessioned2020-10-30T18:35:53Z-
dc.date.available2020-10-30T18:35:53Z-
dc.date.issued2017-10en_US
dc.identifier.citationArenz, C., Russell, B., Burgarth, D., Rabitz, H. (2017). The roles of drift and control field constraints upon quantum control speed limits. New Journal of Physics, 19 (10), 10.1088/1367-2630/aa8242en_US
dc.identifier.issn1367-2630-
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr19514-
dc.descriptionNew Journal of Physics. Volume 19, Issue 10, 20 October 2017, Article number 103015.en_US
dc.description.abstract© 2017 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft. In this work we derive a lower bound for the minimum time required to implement a target unitary transformation through a classical time-dependent field in a closed quantum system. The bound depends on the target gate, the strength of the internal Hamiltonian and the highest permitted control field amplitude. These findings reveal some properties of the reachable set of operations, explicitly analyzed for a single qubit. Moreover, for fully controllable systems, we identify a lower bound for the time at which all unitary gates become reachable. We use numerical gate optimization in order to study the tightness of the obtained bounds. It is shown that in the single qubit case our analytical findings describe the relationship between the highest control field amplitude and the minimum evolution time remarkably well. Finally, we discuss both challenges and ways forward for obtaining tighter bounds for higher dimensional systems, offering a discussion about the mathematical form and the physical meaning of the bound.en_US
dc.format.extent19.10:103015-1 -103015-11en_US
dc.language.isoenen_US
dc.relation.ispartofNew Journal of Physicsen_US
dc.rightsFinal published version. This is an open access article.en_US
dc.titleThe roles of drift and control field constraints upon quantum control speed limitsen_US
dc.typeJournal Articleen_US
dc.identifier.doidoi:10.1088/1367-2630/aa8242-
dc.date.eissued2017-10-20en_US
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

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