Four and a Half Axioms for Quantum Mechanics Speaker(s): Alexander Wilce
Abstract: I will discuss a set of strong, but probabilistically intelligible, axioms from which one can {em almost} derive the appratus of finite dimensional quantum theory. These require that systems appear completely classical as restricted to a single measurement, that different measurements, and likewise different pure states, be equivalent up to the action of a compact group of symmetries, and that every state be the marginal of a bipartite state perfectly correlating two measurements. This much yields a mathematical representation of measurements, states and symmetries that is already very suggestive of quantum mechanics. One final postulate (a simple minimization principle, still in need of a clear interpretation) forces the theory's state space to be that of a formally real Jordan algebra
Date: 13/08/2009  9:00 am
Collection: Reconstructing Quantum Theory  2009
