Asymptotic Spectral Measures: Between Quantum Theory and E-theory

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dc.creatorTrout, Jody
dc.date2003-09-19
dc.date.accessioned2026-07-07T04:30:34Z
dc.date.available2026-07-07T04:30:34Z
dc.descriptionWe review the relationship between positive operator-valued measures (POVMs) in quantum measurement theory and asymptotic morphisms in the C*-algebra E-theory of Connes and Higson. The theory of asymptotic spectral measures, as introduced by Martinez and Trout (CMP 226), is integrally related to positive asymptotic morphisms on locally compact spaces via an asymptotic Riesz Representation Theorem. Examples and applications to quantum physics, including quantum noise models, semiclassical limits, pure spin one-half systems and quantum information processing will also be discussed.
dc.descriptionTo appear in Proceedings of the International IPSI-2003 VIP Forum Conference in Sveti Stefan, Montenegro, October 4-11, 2003. 10 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0309050
dc.identifierhttp://arxiv.org/abs/math-ph/0309050
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57509
dc.subjectMathematical Physics
dc.subjectK-Theory and Homology
dc.subjectOperator Algebras
dc.subject81P15, 47N50, 47L90
dc.titleAsymptotic Spectral Measures: Between Quantum Theory and E-theory
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