A Quantum Search Algorithm for a Specified Number of Targets

dc.creatorRubin, Mark A.
dc.date2001-04-17
dc.date2001-11-10
dc.date.accessioned2026-07-07T06:01:56Z
dc.date.available2026-07-07T06:01:56Z
dc.descriptionThe quantum search algorithm of Chen and Diao, which finds with certainty a single target item in an unsorted database, is modified so as to be capable of searching for an arbitrary specified number of target items. If the number of targets, nu_0, is a power of four, the new algorithm will with certainty find one of the targets in a database of n items using (1/2)(3(N/nu_0)^{log_base_4(3)}-1) \approx (1/2)(3(N/nu_0)^{0.7925}-1) oracle calls, where N is the smallest power of four greater than or equal to n. If nu_0 is not a power of four, the algorithm will, with a probability of at least one-half, find one of the targets using no more than (1/2)(9(N/nu)^{log_base_4(3)}-1) calls, where nu is the smallest power of four greater than or equal to nu_0.
dc.description12 pages including 1 figure
dc.identifierhttps://arxiv.org/abs/quant-ph/0104082
dc.identifierhttp://arxiv.org/abs/quant-ph/0104082
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/89439
dc.subjectQuantum Physics
dc.titleA Quantum Search Algorithm for a Specified Number of Targets
dc.typetext

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