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N-dimensional alternate coined quantum walks from a dispersion-relation perspective

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N-dimensional alternate coined quantum walks from a dispersion-relation perspective

dc.contributor.author	Roldán Serrano, Eugenio
dc.contributor.author	Di Franco, Carlo
dc.contributor.author	Silva Vázquez, Fernando
dc.contributor.author	Valcárcel Gonzalvo, Germán J. de
dc.date.accessioned	2014-11-12T09:44:15Z
dc.date.available	2014-11-12T09:44:15Z
dc.date.issued	2013
dc.identifier.uri	http://hdl.handle.net/10550/39738
dc.description.abstract	We suggest an alternative definition of N-dimensional coined quantum walk by generalizing a recent proposal [Di Franco et al., Phys. Rev. Lett. 106, 080502 (2011)]. This N-dimensional alternate quantum walk, AQW(N), in contrast with the standard definition of the N-dimensional quantum walk, QW(N), requires only a coin qubit. We discuss the quantum diffusion properties of AQW(2) and AQW(3) by analyzing their dispersion relations that reveal, in particular, the existence of diabolical points. This allows us to highlight interesting similarities with other well-known physical phenomena. We also demonstrate that AQW(3) generates considerable genuine multipartite entanglement. Finally, we discuss the implementability of AQW(N).
dc.language.iso	eng
dc.relation.ispartof	Physical Review A, 2013, vol. 87, p. 022336-1-022336-5
dc.source	Roldán Serrano, Eugenio Di Franco, Carlo Silva Vázquez, Fernando Valcárcel Gonzalvo, Germán J. de 2013 N-dimensional alternate coined quantum walks from a dispersion-relation perspective Physical Review A 87 022336-1 022336-5
dc.subject	Òptica quàntica
dc.title	N-dimensional alternate coined quantum walks from a dispersion-relation perspective
dc.type	journal article	es_ES
dc.date.updated	2014-11-12T09:44:15Z
dc.identifier.doi	http://dx.doi.org/10.1103/PhysRevA.87.022336
dc.identifier.idgrec	097487
dc.rights.accessRights	open access	es_ES