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PERIMETER INSTITUTE RECORDED SEMINAR ARCHIVE

Displaying all lectures given by: Alex Wilce


Symmetry, Self-Duality and the Jordan Structure of Quantum Theory
Speaker(s): Alexander Wilce
Abstract: This talk reviews recent and on-going work, much of it joint with Howard Barnum, on the origins of the Jordan-algebraic structure of finite-dimensional quantum theory. I begin by describing a simple recipe for constructing highly symmetrical probabilistic models, and discuss the ordered linear space... read more
Date: 10/05/2011 - 11:40 am

Foundations and Interpretation of Quantum Theory - Lecture 11
Speaker(s): Alexander Wilce
Abstract:
Date: 25/02/2010 - 2:30 pm

Foundations and Interpretation of Quantum Theory - Lecture 10
Speaker(s): Alexander Wilce
Abstract:
Date: 23/02/2010 - 2:30 pm

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 ... read more
Date: 13/08/2009 - 9:00 am

Entanglement and measurement in general probabilistic theories
Speaker(s): Alexander Wilce
Abstract: Quantum mechanics is a non-classical 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 regard... read more
Date: 03/03/2009 - 4:00 pm

Probability theory --classical, quantum and otherwise
Speaker(s): Alexander Wilce
Abstract: Quantum mechanics is a non-classical probability calculus -- but hardly the most general one imaginable. In this talk, I'll discuss some familiar non-classical properties of quantum-probabilistic models that turn out to be features of {em all} non-classical models. These include a generic no-cloning... read more
Date: 22/09/2006 - 3:00 pm

Symmetry and quantum logic
Speaker(s): Alex Wilce
Abstract:
Date: 20/07/2005 - 9:30 am

Introduction to and Historical Overview of Quantum Logics
Speaker(s): Alex Wilce
Abstract: Introductory lecture summary: 1. Finite dimensional hilbert spaces and (complemented) modular lattices; infinite-dimensional hilbert spaces and orthomodularity. 2. von Neumann's QL; von Neumann-Birkhoff (briefly!); reconstruction of QM from P(H) 3. Mackey's programme; some early axiomatics (e.g... read more
Date: 17/07/2005 - 2:00 pm
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