Simple Algorithm for Partial Quantum Search

dc.creatorKorepin, Vladimir E.
dc.creatorGrover, Lov K.
dc.date2005-04-20
dc.date2005-04-21
dc.date.accessioned2026-07-07T06:27:26Z
dc.date.available2026-07-07T06:27:26Z
dc.descriptionQuite often in database search, we only need to extract portion of the information about the satisfying item. Recently Radhakrishnan & Grover [RG] considered this problem in the following form: the database of $N$ items was divided into $K$ equally sized blocks. The algorithm has just to find the block containing the item of interest. The queries are exactly the same as in the standard database search problem. [RG] invented a quantum algorithm for this problem of partial search that took about $0.33\sqrt{N/K}$ fewer iterations than the quantum search algorithm. They also proved that the best any quantum algorithm could do would be to save $0.78 \sqrt(N/K)$ iterations. The main limitation of the algorithm was that it involved complicated analysis as a result of which it has been inaccessible to most of the community. This paper gives a simple analysis of the algorithm. This analysis is based on three elementary observations about quantum search, does not require a single equation and takes less than 2 pages.
dc.description3 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/quant-ph/0504157
dc.identifierhttp://arxiv.org/abs/quant-ph/0504157
dc.identifierQuantum Information Processing, vol. 5, number 1, page 5-10, 2006
dc.identifierdoi:10.1007/s11128-005-0004-z
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97416
dc.subjectQuantum Physics
dc.titleSimple Algorithm for Partial Quantum Search
dc.typetext

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