A note on the classical lower bound for a quantum walk algorithm

dc.creatorFenner, Stephen A.
dc.creatorZhang, Yong
dc.date2003-12-31
dc.date.accessioned2026-07-07T06:08:43Z
dc.date.available2026-07-07T06:08:43Z
dc.descriptionA recent paper on quantum walks by Childs et al. [STOC'03] provides an example of a black-box problem for which there is a quantum algorithm with exponential speedup over the best classical randomized algorithm for the problem, but where the quantum algorithm does not involve any use of the quantum Fourier transform. They give an exponential lower bound for a classical randomized algorithm solving the black-box graph traversal problem defined in their paper. In this note we give an improved lower bound for this problem via a straightforward and more complete analysis.
dc.description3 pages, no figures
dc.identifierhttps://arxiv.org/abs/quant-ph/0312230
dc.identifierhttp://arxiv.org/abs/quant-ph/0312230
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/91727
dc.subjectQuantum Physics
dc.titleA note on the classical lower bound for a quantum walk algorithm
dc.typetext

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