Quantum Algorithm, Gaussian Sums, and Topological Invariants

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dc.creatorShiokawa, K.
dc.date2009-03-10
dc.date.accessioned2026-07-07T12:50:49Z
dc.date.available2026-07-07T12:50:49Z
dc.descriptionCertain quantum topological invariants of three manifolds can be written in the form of the Gaussian sum. It is shown that such topological invariants can be approximated efficiently by a quantum computer. The invariants discussed here are obtained as a partition function of the gauge theory on three manifolds with various gauge groups. Our algorithms are applicable to Abelian and finite gauge groups and to some classes of non-Abelian gauge groups. These invariants can be directly estimated by the nuclear magnetic resonance (NMR) technique used for evaluating the Gaussian sum.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/0903.1688
dc.identifierhttp://arxiv.org/abs/0903.1688
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222797
dc.subjectQuantum Physics
dc.titleQuantum Algorithm, Gaussian Sums, and Topological Invariants
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