A no-go theorem on the nature of the gravitational field beyond quantum theory
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 …
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
The formalism of generalized probabilistic theories (GPTs) was originally developed as a
way to characterize the landscape of conceivable physical theories. Thus, the GPT …
way to characterize the landscape of conceivable physical theories. Thus, the GPT …
Reconstructing quantum theory from diagrammatic postulates
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 …
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 …
normed division algebras: the real numbers, the complex numbers and the quaternions …
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 …
Jordan algebras (EJAs), satisfying some reasonable additional constraints motivated by the …
Ensemble steering, weak self-duality, and the structure of probabilistic theories
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 …
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 …
and operationalism. It generalizes and unifies previous frameworks, including the standard …
Post-classical probability theory
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 …
approach to the foundations of quantum mechanics, and reviews selected results, mostly by …
Local tomography and the Jordan structure of quantum theory
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 …
constitutes a system, and on what constitutes a composite system), orthodox finite …
A discussion on the origin of quantum probabilities
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 …
operational structures. We apply the method developed by Cox to non distributive lattices …