Some Nearly Quantum Theories

We consider possible non-signaling composites of probabilistic models based on euclidean Jordan algebras. Subject to some reasonable constraints, we show that no such composite exists having the exceptional Jordan algebra as a direct summand. We then construct several dagger compact categories of s...

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Bibliographic Details
Main Authors: Howard Barnum, Matthew A. Graydon, Alexander Wilce
Format: Article
Language:English
Published: Open Publishing Association 2015-11-01
Series:Electronic Proceedings in Theoretical Computer Science
Online Access:http://arxiv.org/pdf/1507.06278v3