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Symmetry, Self-Duality and the Jordan Structure of Quantum Mechanics | | Alexander Wilce
; | | Date: |
30 Oct 2011 | | Abstract: | I explore several related routes to deriving the Jordan-algebraic structure
of finite-dimensional quantum theory from more transparent operational or
physical principles, mainly involving ideas about the symmetries of, and the
correlations between, probabilistic models. The key tool is the Koecher-Vinberg
Theorem, which identifies formally real Jordan algebras with finite-dimensional
order-unit spaces having homogeneous, self-dual cones. | | Source: | arXiv, 1110.6607 | | Services: | Forum | Review | PDF | Favorites | |
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