Quantum walks in higher dimensions

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dc.creatorMackay, Troy D.
dc.creatorBartlett, Stephen D.
dc.creatorStephenson, Leigh T.
dc.creatorSanders, Barry C.
dc.date2001-08-01
dc.date2002-03-19
dc.date.accessioned2026-07-07T06:02:31Z
dc.date.available2026-07-07T06:02:31Z
dc.descriptionWe analyze the quantum walk in higher spatial dimensions and compare classical and quantum spreading as a function of time. Tensor products of Hadamard transformations and the discrete Fourier transform arise as natural extensions of the quantum coin toss in the one-dimensional walk simulation, and other illustrative transformations are also investigated. We find that entanglement between the dimensions serves to reduce the rate of spread of the quantum walk. The classical limit is obtained by introducing a random phase variable.
dc.description6 pages, 6 figures, published version
dc.identifierhttps://arxiv.org/abs/quant-ph/0108004
dc.identifierhttp://arxiv.org/abs/quant-ph/0108004
dc.identifierJ. Phys. A: Math. Gen. 35, 2745 (2002)
dc.identifierdoi:10.1088/0305-4470/35/12/304
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/89630
dc.subjectQuantum Physics
dc.titleQuantum walks in higher dimensions
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