2012/05/16 by Howard Barnum, Barnum, Howard, Alexander Wilce +1 · 1 citation
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.1205.3833
openalex publication_date 2012/05/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper offers a brief introduction to the framework of "general probabilistic theories", otherwise known as the "convex-operational" approach the foundations of quantum mechanics. Broadly speaking, the goal of research in this vein is to locate quantum mechanics within a very much more general, but conceptually very straightforward, generalization of classical probability theory. The hope is that, by viewing quantum mechanics "from the outside", we may be able better to understand it. We illustrate several respects in which this has proved to be the case, reviewing work on cloning and broadcasting, teleportation and entanglement swapping, key distribution, and ensemble steering in this general framework. We also discuss a recent derivation of the Jordan-algebraic structure of finite-dimensional quantum theory from operationally reasonable postulates.