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DC Field | Value | Language |
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dc.contributor.author | Brody, DC | - |
dc.contributor.author | Meier, DM | - |
dc.date.accessioned | 2015-02-23T15:54:11Z | - |
dc.date.available | 2015 | - |
dc.date.available | 2015-02-23T15:54:11Z | - |
dc.date.issued | 2015 | - |
dc.identifier.citation | Physical Review Letters, 2015, Forthcoming, 114 | en_US |
dc.identifier.issn | 1079-7114 | - |
dc.identifier.uri | http://journals.aps.org/prl/ | - |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/10286 | - |
dc.description.abstract | The 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.iso | en | en_US |
dc.publisher | American Physical Society | en_US |
dc.subject | Time-optimal control Hamiltonian | en_US |
dc.subject | Unitary gate | en_US |
dc.subject | Uncontrollable ambient Hamiltonian | en_US |
dc.subject | Zermelo navigation problem | en_US |
dc.title | Solution to the quantum Zermelo navigation problem | en_US |
dc.type | Article | en_US |
dc.relation.isPartOf | Physical Review Letters | - |
dc.relation.isPartOf | Physical Review Letters | - |
pubs.edition | Forthcoming | - |
pubs.edition | Forthcoming | - |
pubs.volume | 114 | - |
pubs.volume | 114 | - |
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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FullText.pdf | 1.74 MB | Adobe PDF | View/Open |
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