A no-go theorem on the nature of the gravitational field beyond quantum theory

TD Galley, F Giacomini, JH Selby - Quantum, 2022 - quantum-journal.org
Recently, table-top experiments involving massive quantum systems have been proposed to
test the interface of quantum theory and gravity. In particular, the crucial point of the debate …

Accessible fragments of generalized probabilistic theories, cone equivalence, and applications to witnessing nonclassicality

JH Selby, D Schmid, E Wolfe, AB Sainz, R Kunjwal… - Physical Review A, 2023 - APS
The formalism of generalized probabilistic theories (GPTs) was originally developed as a
way to characterize the landscape of conceivable physical theories. Thus, the GPT …

Reconstructing quantum theory from diagrammatic postulates

JH Selby, CM Scandolo, B Coecke - Quantum, 2021 - quantum-journal.org
A reconstruction of quantum theory refers to both a mathematical and a conceptual
paradigm that allows one to derive the usual formulation of quantum theory from a set of …

Division algebras and quantum theory

JC Baez - Foundations of Physics, 2012 - Springer
Quantum theory may be formulated using Hilbert spaces over any of the three associative
normed division algebras: the real numbers, the complex numbers and the quaternions …

Composites and categories of Euclidean Jordan algebras

H Barnum, MA Graydon, A Wilce - Quantum, 2020 - quantum-journal.org
We consider possible non-signaling composites of probabilistic models based on euclidean
Jordan algebras (EJAs), satisfying some reasonable additional constraints motivated by the …

Ensemble steering, weak self-duality, and the structure of probabilistic theories

H Barnum, CP Gaebler, A Wilce - Foundations of Physics, 2013 - Springer
In any probabilistic theory, we say that a bipartite state ω on a composite system AB steers
its marginal state ω B if, for any decomposition of ω B as a mixture ω B=∑ ipi β i of states β i …

A local and operational framework for the foundations of physics

R Oeckl - arXiv preprint arXiv:1610.09052, 2016 - arxiv.org
We discuss a novel framework for physical theories that is based on the principles of locality
and operationalism. It generalizes and unifies previous frameworks, including the standard …

Post-classical probability theory

H Barnum, A Wilce - Quantum Theory: Informational Foundations and …, 2015 - Springer
This chapter offers a brief introduction to what is often called the convex-operational
approach to the foundations of quantum mechanics, and reviews selected results, mostly by …

Local tomography and the Jordan structure of quantum theory

H Barnum, A Wilce - Foundations of Physics, 2014 - Springer
Using a result of H. Hanche-Olsen, we show that (subject to fairly natural constraints on what
constitutes a system, and on what constitutes a composite system), orthodox finite …

A discussion on the origin of quantum probabilities

F Holik, M Sáenz, A Plastino - Annals of Physics, 2014 - Elsevier
We study the origin of quantum probabilities as arising from non-Boolean propositional-
operational structures. We apply the method developed by Cox to non distributive lattices …