Study of continuous-time quantum walks on quotient graphs via quantum probability theory

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dc.creatorSalimi, S.
dc.date2007-10-31
dc.date2008-07-26
dc.date.accessioned2026-07-07T10:19:52Z
dc.date.available2026-07-07T10:19:52Z
dc.descriptionIn the present paper, we study the continuous-time quantum walk on quotient graphs. On such graphs, there is a straightforward reduction of problem to a subspace that can be considerably smaller than the original one. Along the lines of reductions, by using the idea of calculation of the probability amplitudes for continuous-time quantum walk in terms of the spectral distribution associated with the adjacency matrix of graphs [Jafarizadeh and Salimi (Ann. Phys 322(2007))], we show the continuous-time quantum walk on original graph $Γ$ induces a continuous-time quantum walk on quotient graph $Γ_H$. Finally, for example we investigate continuous-time quantum walk on some quotient Cayley graphs.
dc.description18 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/0710.5813
dc.identifierhttp://arxiv.org/abs/0710.5813
dc.identifierInternational Journal of Quantum Information, Vol. 6, No. 4 (2008) 945--957.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174666
dc.subjectQuantum Physics
dc.titleStudy of continuous-time quantum walks on quotient graphs via quantum probability theory
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