A novel SO(3) picture for quantum searching

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dc.creatorLong, Gui Lu
dc.creatorTu, Chang Cun
dc.creatorLi, Yan Song
dc.creatorZhang, Wei Lin
dc.creatorYan, Hai Yang
dc.date1999-11-03
dc.date.accessioned2026-07-07T06:17:08Z
dc.date.available2026-07-07T06:17:08Z
dc.descriptionAn SO(3) picture of the generalized Grover's quantum searching algorithm,with arbitrary unitary transformation and with arbitrary phase rotations, is constructed. In this picture, any quantum search operation is a rotation in a 3 dimensional space. Exact formulas for the rotation angle and rotational axis are given. The probability of finding the marked state is just $(z+1)/2$, where z is the z-component of the state vector. Exact formulas for this probability is easily obtained. The phase matching requirement and the failure of algorithm when phase mismatches are clearly explained.
dc.description6 pages, 2 eps figures
dc.identifierhttps://arxiv.org/abs/quant-ph/9911004
dc.identifierhttp://arxiv.org/abs/quant-ph/9911004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94300
dc.subjectQuantum Physics
dc.titleA novel SO(3) picture for quantum searching
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