Mimicking the probability distribution of a two-dimensional Grover walk with a single-qubit coin

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dc.contributor.authorDi Franco, Carlo
dc.contributor.authorMc Gettrick, M.
dc.contributor.authorBusch, Thomas
dc.contributor.funderIrish Research Council for Science, Engineering and Technology
dc.contributor.funderScience Foundation Ireland
dc.date.accessioned2017-09-04T09:02:31Z
dc.date.available2017-09-04T09:02:31Z
dc.date.issued2011
dc.description.abstractThe nonlocalized case of the spatial density probability of the two-dimensional Grover walk can be obtained using only a two-dimensional coin space and a quantum walk in alternate directions. This significantly reduces the resources necessary for its feasible experimental realization. We present a formal proof of this correspondence and analyze the behavior of the coin-position entanglement as well as the x-y spatial entanglement in our scheme with respect to the Grover one. Our scheme allows us to entangle the two orthogonal directions of the walk more efficiently.en
dc.description.sponsorshipScience Foundation Ireland (05/IN/I852, 05/IN/I852 NS)en
dc.description.statusPeer revieweden
dc.description.versionPublished Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.articleid80502
dc.identifier.citationDi Franco, C., Mc Gettrick, M. and Busch, T. (2011) 'Mimicking the probability distribution of a two-dimensional Grover walk with a single-qubit coin', Physical Review Letters, 106(8), 080502 (4pp). doi: 10.1103/PhysRevLett.106.080502en
dc.identifier.doi10.1103/PhysRevLett.106.080502
dc.identifier.issn0031-9007
dc.identifier.issued8
dc.identifier.journaltitlePhysical Review Lettersen
dc.identifier.urihttps://hdl.handle.net/10468/4627
dc.identifier.volume106
dc.language.isoenen
dc.publisherAmerican Physical Societyen
dc.relation.urihttps://journals.aps.org/prl/abstract/10.1103/PhysRevLett.106.080502
dc.rights© 2011, American Physical Societyen
dc.subjectQuantum random walksen
dc.subjectEntanglementen
dc.subjectCoherenceen
dc.titleMimicking the probability distribution of a two-dimensional Grover walk with a single-qubit coinen
dc.typeArticle (peer-reviewed)en
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