Decoherence models and their effects on quantum maps and algorithms

dc.creatorAolita, Mario Leandro
dc.creatorSaraceno, Marcos
dc.date2005-04-27
dc.date.accessioned2026-07-07T06:12:42Z
dc.date.available2026-07-07T06:12:42Z
dc.descriptionIn this work we study several models of decoherence and how different quantum maps and algorithms react when perturbed by them. Following closely Ref. [1], generalizations of the three paradigmatic one single qubit quantum channels (these are the depolarizing channel, the phase damping channel and the amplitude damping channel) for the case of an arbitrarily-sized finite-dimensional Hilbert space are presented, as well as other types of noise in phase space. More specifically, Grover's search algorithm's response to decoherence is analyzed; together with those of a family of quantum versions of chaotic and regular classical maps (the baker's map and the cat maps). A relationship between how sensitive to decoherence a quantum map is and the degree of complexity in the dynamics of its associated classical counterpart is observed; resulting in a clear tendency to react the more decoherently the more complex the associated classical dynamics is.
dc.description14 pages and 15 figures
dc.identifierhttps://arxiv.org/abs/quant-ph/0504211
dc.identifierhttp://arxiv.org/abs/quant-ph/0504211
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/92864
dc.subjectQuantum Physics
dc.titleDecoherence models and their effects on quantum maps and algorithms
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