Transformation of quantum states using uniformly controlled rotations

dc.creatorMottonen, Mikko
dc.creatorVartiainen, Juha J.
dc.creatorBergholm, Ville
dc.creatorSalomaa, Martti M.
dc.date2004-07-01
dc.date.accessioned2026-07-07T07:50:31Z
dc.date.available2026-07-07T07:50:31Z
dc.descriptionWe consider a unitary transformation which maps any given state of an $n$-qubit quantum register into another one. This transformation has applications in the initialization of a quantum computer, and also in some quantum algorithms. Employing uniformly controlled rotations, we present a quantum circuit of $2^{n+2}-4n-4$ CNOT gates and $2^{n+2}-5$ one-qubit elementary rotations that effects the state transformation. The complexity of the circuit is noticeably lower than the previously published results. Moreover, we present an analytic expression for the rotation angles needed for the transformation.
dc.description4 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/quant-ph/0407010
dc.identifierhttp://arxiv.org/abs/quant-ph/0407010
dc.identifierQuant. Inf. Comp. 5, 467 (2005)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125187
dc.subjectQuantum Physics
dc.titleTransformation of quantum states using uniformly controlled rotations
dc.typetext

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