Entanglement and measurement in general probabilistic theories Speaker(s): Alexander Wilce
Abstract: Quantum mechanics is a nonclassical probability theory, but hardly the most general one imaginable: any compact convex set can serve as the state space for an abstract probabilistic model (classical models corresponding to simplices). From this altitude, one sees that many phenomena commonly regarded as ``characteristically quantum' are in fact generically ``nonclassical'. In this talk, I'll show that almost any nonclassical probabilistic theory shares with quantum mechanics a notion of entanglement and, with this, a version of the socalled measurement problem. I'll then discuss what's required for an abstract probabilistic theory to admit a somewhat simplified version of Everett's response to this problem  an exercise that turns out to be instructive in several ways.
Date: 03/03/2009  4:00 pm
Series: Quantum Foundations
