A Comment on Fisher Information and Quantum Algorithms

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dc.creatorAlvarez, J. J.
dc.creatorGomez, C.
dc.date1999-10-27
dc.date2000-02-16
dc.date.accessioned2026-07-07T06:17:07Z
dc.date.available2026-07-07T06:17:07Z
dc.descriptionWe show that Grover's algorithm defines a geodesic in quantum Hilbert space with the Fubini-Study metric. From statistical point of view Grover's algorithm is characterized by constant Fisher's function. Quantum algorithms changing complexity class as Shor's factorization does not preserve constant Fisher's information. An adiabatic quantum factorization algorithm in non polynomial time is presented to exemplify the result.
dc.description5 pages, LaTex file, Shor's factoring algorithm discussion added (new sections 5 and 6)
dc.identifierhttps://arxiv.org/abs/quant-ph/9910115
dc.identifierhttp://arxiv.org/abs/quant-ph/9910115
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94291
dc.subjectQuantum Physics
dc.titleA Comment on Fisher Information and Quantum Algorithms
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