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

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dc.contributor.author Di Franco, Carlo
dc.contributor.author Mc Gettrick, M.
dc.contributor.author Busch, Thomas
dc.date.accessioned 2017-09-04T09:02:31Z
dc.date.available 2017-09-04T09:02:31Z
dc.date.issued 2011
dc.identifier.citation Di 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.106.080502 en
dc.identifier.volume 106
dc.identifier.issued 8
dc.identifier.issn 0031-9007
dc.identifier.uri http://hdl.handle.net/10468/4627
dc.identifier.doi 10.1103/PhysRevLett.106.080502
dc.description.abstract The 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.sponsorship Science Foundation Ireland (05/IN/I852, 05/IN/I852 NS) en
dc.format.mimetype application/pdf en
dc.language.iso en en
dc.publisher American Physical Society en
dc.relation.uri https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.106.080502
dc.rights © 2011, American Physical Society en
dc.subject Quantum random walks en
dc.subject Entanglement en
dc.subject Coherence en
dc.title Mimicking the probability distribution of a two-dimensional Grover walk with a single-qubit coin en
dc.type Article (peer-reviewed) en
dc.internal.authorcontactother Thomas Busch, Physics, University College Cork, Cork, Ireland. +353-21-490-3000. Email: thbusch@phys.ucc.ie en
dc.internal.availability Full text available en
dc.description.version Published Version en
dc.internal.wokid WOS:000287714900003
dc.contributor.funder Irish Research Council for Science, Engineering and Technology
dc.contributor.funder Science Foundation Ireland
dc.description.status Peer reviewed en
dc.identifier.journaltitle Physical Review Letters en
dc.internal.IRISemailaddress thbusch@phys.ucc.ie en
dc.identifier.articleid 80502


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