Randomized and Quantum Algorithms Yield a Speed-Up for Initial-Value Problems

Simple item page
dc.creatorKacewicz, Boleslaw
dc.date2003-11-21
dc.date.accessioned2026-07-07T06:08:24Z
dc.date.available2026-07-07T06:08:24Z
dc.descriptionQuantum algorithms and complexity have recently been studied not only for discrete, but also for some numerical problems. Most attention has been paid so far to the integration problem, for which a speed-up is shown by quantum computers with respect to deterministic and randomized algorithms on a classical computer. In this paper we deal with the randomized and quantum complexity of initial-value problems. For this nonlinear problem, we show that both randomized and quantum algorithms yield a speed-up over deterministic algorithms. Upper bounds on the complexity in the randomized and quantum settings are shown by constructing algorithms with a suitable cost, where the construction is based on integral information. Lower bounds result from the respective bounds for the integration problem.
dc.descriptionLaTeX v. 2.09, 13 pages
dc.identifierhttps://arxiv.org/abs/quant-ph/0311148
dc.identifierhttp://arxiv.org/abs/quant-ph/0311148
dc.identifierJournal of Complexity 20 (2004) 821-834
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/91617
dc.subjectQuantum Physics
dc.titleRandomized and Quantum Algorithms Yield a Speed-Up for Initial-Value Problems
dc.typetext

Files

Collections

arXiv