Composites and Categories of Euclidean Jordan Algebras

We consider possible non-signaling composites of probabilistic models based on euclidean Jordan algebras (EJAs), satisfying some reasonable additional constraints motivated by the desire to construct dagger-compact categories of such models. We show that no such composite has the exceptional Jordan...

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Bibliographic Details
Main Authors: Howard Barnum, Matthew A. Graydon, Alexander Wilce
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2020-11-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2020-11-08-359/pdf/