Speed-up and entanglement in quantum searching

dc.creatorBraunstein, Samuel L.
dc.creatorPati, Arun K.
dc.date2000-08-03
dc.date2002-07-17
dc.date.accessioned2026-07-07T06:00:35Z
dc.date.available2026-07-07T06:00:35Z
dc.descriptionWe investigate the issue of speed-up and the necessity of entanglement in Grover's quantum search algorithm. We find that in a pure state implementation of Grover's algorithm entanglement is present even though the initial and target states are product states. In pseudo-pure state implementations, the separability of the states involved defines an entanglement boundary in terms of a bound on the purity parameter. Using this bound we investigate the necessity of entanglement in quantum searching for these pseudo-pure state implementations. If every active molecule involved in the ensemble is `charged for' then in existing machines speed-up without entanglement is not possible.
dc.descriptionLatex file, no figures, 11 pages, Extended version, To appear in Journal QIC
dc.identifierhttps://arxiv.org/abs/quant-ph/0008018
dc.identifierhttp://arxiv.org/abs/quant-ph/0008018
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/89007
dc.subjectQuantum Physics
dc.titleSpeed-up and entanglement in quantum searching
dc.typetext

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