A Quantum Algorithm for finding the Maximum

dc.creatorAhuja, Ashish
dc.creatorKapoor, Sanjiv
dc.date1999-11-18
dc.date.accessioned2026-07-07T06:17:14Z
dc.date.available2026-07-07T06:17:14Z
dc.descriptionThis paper describes a quantum algorithm for finding the maximum among N items. The classical method for the same problem takes O(N) steps because we need to compare two numbers in one step. This algorithm takes O(sqrt(N)) steps by exploiting the property of quantum states to exist in a superposition of states and hence performing an operation on a number of elements in one go. A tight upper bound of 6.8(sqrt(N)) for the number of steps needed using this algorithm was found. These steps are the number of queries made to the oracle.
dc.descriptionTeX v3.2, 5 pages
dc.identifierhttps://arxiv.org/abs/quant-ph/9911082
dc.identifierhttp://arxiv.org/abs/quant-ph/9911082
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94328
dc.subjectQuantum Physics
dc.titleA Quantum Algorithm for finding the Maximum
dc.typetext

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