Please use this identifier to cite or link to this item: http://buratest.brunel.ac.uk/handle/2438/10286
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dc.contributor.authorBrody, DC-
dc.contributor.authorMeier, DM-
dc.date.accessioned2015-02-23T15:54:11Z-
dc.date.available2015-
dc.date.available2015-02-23T15:54:11Z-
dc.date.issued2015-
dc.identifier.citationPhysical Review Letters, 2015, Forthcoming, 114en_US
dc.identifier.issn1079-7114-
dc.identifier.urihttp://journals.aps.org/prl/-
dc.identifier.urihttp://bura.brunel.ac.uk/handle/2438/10286-
dc.description.abstractThe solution to the problem of finding a time-optimal control Hamiltonian to generate a given unitary gate, in an environment in which there exists an uncontrollable ambient Hamiltonian (e.g., a background field), is obtained. In the classical context, finding the time-optimal way to steer a ship in the presence of a background wind or current is known as the Zermelo navigation problem, whose solution can be obtained by working out geodesic curves on a space equipped with a Randers metric. The solution to the quantum Zermelo problem, which is shown here to take a remarkably simple form, is likewise obtained by finding explicit solutions to the geodesic equations of motion associated with a Randers metric on the space of unitary operators. The result reveals that the optimal control in a sense `goes along with the wind'.en_US
dc.language.isoenen_US
dc.publisherAmerican Physical Societyen_US
dc.subjectTime-optimal control Hamiltonianen_US
dc.subjectUnitary gateen_US
dc.subjectUncontrollable ambient Hamiltonianen_US
dc.subjectZermelo navigation problemen_US
dc.titleSolution to the quantum Zermelo navigation problemen_US
dc.typeArticleen_US
dc.relation.isPartOfPhysical Review Letters-
dc.relation.isPartOfPhysical Review Letters-
pubs.editionForthcoming-
pubs.editionForthcoming-
pubs.volume114-
pubs.volume114-
pubs.organisational-data/Brunel-
pubs.organisational-data/Brunel/Brunel Staff by College/Department/Division-
pubs.organisational-data/Brunel/Brunel Staff by College/Department/Division/College of Engineering, Design and Physical Sciences-
pubs.organisational-data/Brunel/Brunel Staff by College/Department/Division/College of Engineering, Design and Physical Sciences/Dept of Mathematics-
pubs.organisational-data/Brunel/Brunel Staff by College/Department/Division/College of Engineering, Design and Physical Sciences/Dept of Mathematics/Mathematical Sciences-
pubs.organisational-data/Brunel/University Research Centres and Groups-
pubs.organisational-data/Brunel/University Research Centres and Groups/Brunel Business School - URCs and Groups-
pubs.organisational-data/Brunel/University Research Centres and Groups/Brunel Business School - URCs and Groups/Centre for Research into Entrepreneurship, International Business and Innovation in Emerging Markets-
pubs.organisational-data/Brunel/University Research Centres and Groups/School of Health Sciences and Social Care - URCs and Groups-
pubs.organisational-data/Brunel/University Research Centres and Groups/School of Health Sciences and Social Care - URCs and Groups/Brunel Institute for Ageing Studies-
pubs.organisational-data/Brunel/University Research Centres and Groups/School of Health Sciences and Social Care - URCs and Groups/Brunel Institute of Cancer Genetics and Pharmacogenomics-
pubs.organisational-data/Brunel/University Research Centres and Groups/School of Health Sciences and Social Care - URCs and Groups/Centre for Systems and Synthetic Biology-
Appears in Collections:Dept of Mathematics Research Papers

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