Convergence of coined quantum walks on d-dimensional Euclidean space

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dc.creatorGottlieb, Alex D.
dc.creatorJanson, Svante
dc.creatorScudo, Petra F.
dc.date2004-06-11
dc.date.accessioned2026-07-07T06:09:53Z
dc.date.available2026-07-07T06:09:53Z
dc.descriptionCoined quantum walks may be interpreted as the motion in position space of a quantum particle with a spin degree of freedom; the dynamics are determined by iterating a unitary transformation which is the product of a spin transformation and a translation conditional on the spin state. Coined quantum walks on the d-dimensional lattice can be treated as special cases of coined quantum walks on d-dimensional Euclidean space. We study quantum walks on d-dimensional Euclidean space and prove that the sequence of rescaled probability distributions in position space associated to the unitary evolution of the particle converges to a limit distribution.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/quant-ph/0406072
dc.identifierhttp://arxiv.org/abs/quant-ph/0406072
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/92114
dc.subjectQuantum Physics
dc.titleConvergence of coined quantum walks on d-dimensional Euclidean space
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