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PERIMETER INSTITUTE RECORDED SEMINAR ARCHIVE

Displaying all lectures given by: Alexander Wilce


PIRSA:18070055  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Quantum axiomatics à la carte
Speaker(s): Alexander Wilce
Abstract: The past decade or so has produced a handful of derivations, or reconstructions, of finite-dimensional quantum mechanics from various packages of operational and/or information-theoretic principles. I will present a selection of these principles --- including symmetry postulates, dilational assump... read more
Date: 31/07/2018 - 2:30 pm

PIRSA:11050037  ( MP4 Medium Res , MP3 , PDF ) Which Format?
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

PIRSA:10020031  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Foundations and Interpretation of Quantum Theory - Lecture 11
Speaker(s): Alexander Wilce
Abstract: After a review of the axiomatic formulation of quantum theory, the generalized operational structure of the theory will be introduced (including POVM measurements, sequential measurements, and CP maps). There will be an introduction to the orthodox (sometimes called Copenhagen) interpretation of qua... read more
Date: 25/02/2010 - 2:30 pm

PIRSA:10020013  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Foundations and Interpretation of Quantum Theory - Lecture 10
Speaker(s): Alexander Wilce
Abstract: After a review of the axiomatic formulation of quantum theory, the generalized operational structure of the theory will be introduced (including POVM measurements, sequential measurements, and CP maps). There will be an introduction to the orthodox (sometimes called Copenhagen) interpretation of qua... read more
Date: 23/02/2010 - 2:30 pm

PIRSA:09080015  ( MP4 Medium Res , MP3 , PDF ) Which Format?
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

PIRSA:09030019  ( MP4 Medium Res , MP3 , PDF ) Which Format?
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

PIRSA:06090014  ( MP4 Medium Res , MP3 , PDF ) Which Format?
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

PIRSA:05070104  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Symmetry and quantum logic
Speaker(s): Alexander Wilce
Abstract:
Date: 20/07/2005 - 9:30 am

PIRSA:05070090  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Introduction to and Historical Overview of Quantum Logics
Speaker(s): Alexander 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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