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Symmetry and Self-Duality in Categories of Probabilistic Models | | Alexander Wilce
; | | Date: |
2 Oct 2012 | | Abstract: | This note adds to the recent spate of derivations of the probabilistic
apparatus of finite-dimensional quantum theory from various axiomatic packages.
We offer two different axiomatic packages that lead easily to the Jordan
algebraic structure of finite-dimensional quantum theory. The derivation relies
on the Koecher-Vinberg Theorem, which sets up an equivalence between order-unit
spaces having homogeneous, self-dual cones, and formally real Jordan algebras. | | Source: | arXiv, 1210.0622 | | Services: | Forum | Review | PDF | Favorites | |
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