Local Tomography and the Jordan Structure of Quantum Theory

• Published in: Foundations of physics Vol. 44; no. 2; pp. 192 - 212
• Main Authors: Barnum, Howard, Wilce, Alexander
• Format: Journal Article
• Language: English
• Published: Boston Springer US 01.02.2014
• Subjects: Classical and Quantum Gravitation; Classical Mechanics; History and Philosophical Foundations of Physics; Philosophy of Science; Physics; Physics and Astronomy; Quantum Physics; Relativity Theory; Statistical Physics and Dynamical Systems; General probabilistic theories; Jordan algebras; Local tomography

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-dimensional complex quantum mechanics with superselection rules is the only non-signaling probabilistic theory in which (i...