Two paradigms for topological quantum computation

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dc.creatorRowell, Eric C.
dc.date2008-03-08
dc.date.accessioned2026-07-07T09:25:52Z
dc.date.available2026-07-07T09:25:52Z
dc.descriptionWe present two paradigms relating algebraic, topological and quantum computational statistics for the topological model for quantum computation. In particular we suggest correspondences between the computational power of topological quantum computers, computational complexity of link invariants and images of braid group representations. While at least parts of these paradigms are well-known to experts, we provide supporting evidence for them in terms of recent results. We give a fairly comprehensive list of known examples and formulate two conjectures that would further support the paradigms.
dc.description3 figures, 1 table
dc.identifierhttps://arxiv.org/abs/0803.1258
dc.identifierhttp://arxiv.org/abs/0803.1258
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156551
dc.subjectGeometric Topology
dc.subjectQuantum Algebra
dc.subject81P68 (Primary); 20F36, 57M25, 68Q17, 57M27 (Secondary)
dc.titleTwo paradigms for topological quantum computation
dc.typetext

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