Semigroup techniques for the efficient classical simulation of optical quantum information

dc.creatorBartlett, Stephen D.
dc.date2003-02-10
dc.date.accessioned2026-07-07T06:06:06Z
dc.date.available2026-07-07T06:06:06Z
dc.descriptionA framework to describe a broad class of physical operations (including unitary transformations, dissipation, noise, and measurement) in a quantum optics experiment is given. This framework provides a powerful tool for assessing the capabilities and limitations of performing quantum information processing tasks using current experimental techniques. The Gottesman-Knill theorem is generalized to the infinite-dimensional representations of the group stabilizer formalism and further generalized to include non-invertable semigroup transformations, providing a theorem for the efficient classical simulation of operations within this framework. As a result, we place powerful constraints on obtaining computational speedups using current techniques in quantum optics.
dc.description4 pages, presented at XXIV International Colloquium on Group Theoretical Methods in Physics (Paris, July 15-20, 2002)
dc.identifierhttps://arxiv.org/abs/quant-ph/0302063
dc.identifierhttp://arxiv.org/abs/quant-ph/0302063
dc.identifierProceedings of GROUP 24: Physical and Mathematical Aspects of Symmetries, eds. J-P Gazeau et al, IOP Press (2003)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/90858
dc.subjectQuantum Physics
dc.titleSemigroup techniques for the efficient classical simulation of optical quantum information
dc.typetext

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