Asymptotic Spectral Measures: Between Quantum Theory and E-theory
数学物理
2007-05-23 v1 K理论与同调
math.MP
算子代数
摘要
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.
引用
@article{arxiv.math-ph/0309050,
title = {Asymptotic Spectral Measures: Between Quantum Theory and E-theory},
author = {Jody Trout},
journal= {arXiv preprint arXiv:math-ph/0309050},
year = {2007}
}
备注
To appear in Proceedings of the International IPSI-2003 VIP Forum Conference in Sveti Stefan, Montenegro, October 4-11, 2003. 10 pages