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Asymptotic Spectral Measures: Between Quantum Theory and E-theory

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 نشر من قبل John David Trout jr
 تاريخ النشر 2003
  مجال البحث فيزياء
والبحث باللغة English
 تأليف Jody Trout




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We 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.



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