298 citations
- University of WaterlooCA8 papers
- Perimeter InstituteCA6 papers
- National Institute of Standards and TechnologyUS4 papers
- University of New MexicoUS4 papers
- Brookhaven National LaboratoryUS3 papers
- Drexel UniversityUS3 papers
- Georgia Institute of TechnologyUS3 papers
- Illinois Institute of TechnologyUS3 papers
- Lawrence Livermore National LaboratoryUS3 papers
- Le Moyne CollegeUS3 papers
- Oak Ridge National LaboratoryUS3 papers
- United States Naval AcademyUS3 papers
16 papers · 1 filter
Symmetry-induced failures of tomographic locality: Constructing foil theories by twirling
Daniel Centeno, Marco Erba, Thomas D. Galley +7
Tomographic locality is a principle commonly used in the program of finding axioms that pick out quantum theory within the landscape of possible theories. The principle asserts the…
Locally Tomographic Shadows (Extended Abstract)
Howard Barnum, Matthew A. Graydon, Alex Wilce
Given a monoidal probabilistic theory -- a symmetric monoidal category of systems and processes, together with a functor assigning concrete probabilistic…
A Shortcut from Categorical Quantum Theory to Convex Operational Theories
Alexander Wilce
This paper charts a very direct path between the categorical approach to quantum mechanics, due to Abramsky and Coecke, and the older convex-operational approach based on ordered v…
A Royal Road to Quantum Theory (or Thereabouts), Extended Abstract
Alexander Wilce
A representation of finite-dimensional probabilistic models in terms of formally real Jordan algebras is obtained, in a strikingly easy way, from simple assumptions. This provides…
Composites and Categories of Euclidean Jordan Algebras
Howard Barnum, Matthew A. Graydon, Alexander Wilce
We consider possible non-signaling composites of probabilistic models based on euclidean Jordan algebras (EJAs), satisfying some reasonable additional constraints motivated by the…
Some Nearly Quantum Theories
Howard Barnum, Matthew A. Graydon, Alexander Wilce
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 exi…