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PERIMETER INSTITUTE RECORDED SEMINAR ARCHIVE

PIRSA:C09016 - Reconstructing Quantum TheoryPODCAST Subscribe to podcast

Reconstructing Quantum Theory

Organizer(s): Philip Goyal   Lucien Hardy  

Collection URL: http://pirsa.org/C09016

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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

Quantum-Bayesian Coherence (or, My Favorite Convex Set)
Speaker(s): Christopher Fuchs
Abstract: In a quantum-Bayesian delineation of quantum mechanics, the Born Rule cannot be interpreted as a rule for setting measurement-outcome probabilities from an objective quantum state. (A quantum system has potentially as many quantum states as there are agents considering it.) But what then is the role... read more
Date: 13/08/2009 - 11:00 am

Reconstructing Quantum Mechanics from the Behavior of Partially Polarized Mixtures
Speaker(s): Daniel Fivel
Abstract: It will be shown that the conventional (i.e. real or complex Hilbert space) model of quantum mechanics&nbsp; can be deduced from the indistinguishability of the simplest types of statistical mixtures. The result does not have the&nbsp; low dimension exclusion of the&nbsp; qua... read more
Date: 13/08/2009 - 2:30 pm

Interaction axiomatics for quantum phenomena.
Speaker(s): Bob Coecke
Abstract: In our approach, rather than aiming to recover the 'Hilbert space model' which underpins the orthodox quantum mechanical formalism, we start from a general `pre-operational' framework, and verify how much additional structure we need to be able to describe a range of quantum phenomena. This also ena... read more
Date: 13/08/2009 - 4:30 pm

Operational structures and Natural Postulates for Quantum Theory
Speaker(s): Lucien Hardy
Abstract: TBA
Date: 14/08/2009 - 9:00 am

A reconstruction of quantum mechanics from quantum logics with unique conditional probabilities
Speaker(s): Gerd Niestegge
Abstract: The starting point of the reconstruction process is a very simple quantum logical structure on which probability measures (states) and conditional probabilities are defined. This is a generalization of Kolmogorov's measure-theoretic approach to probability theory. In the general framework, the condi... read more
Date: 14/08/2009 - 11:00 am

Demarcating probability theories by their degree of agent-dependency
Speaker(s): Jochen Rau
Abstract: Recent advances in quantum computation and quantum information theory have led to revived interest in, and cross-fertilisation with, foundational issues of quantum theory. In particular, it has become apparent that quantum theory may be interpreted as but a variant of the classical theory of probabi... read more
Date: 14/08/2009 - 2:30 pm

Candidates for Principles of Quantumness
Speaker(s): Giacomo D'Ariano
Abstract: Quantum Mechanics (QM) is a beautiful simple mathematical structure--- Hilbert spaces and operator algebras---with an unprecedented predicting power in the whole physical domain. However, after more than a century from its birth, we still don't have a "principle" from which to deri... read more
Date: 15/08/2009 - 9:00 am

Quantum Bayesian: Pros and Cons
Abstract: The Quantum Bayesianism of Caves, Fuchs and Schack presents a distinctive starting point from which to attack the problem of axiomatising - or re-constructing - quantum theory. However, many have had the doubt that this starting point is itself already too radical. In this talk I will briefly introd... read more
Date: 15/08/2009 - 11:00 am

Jordan algebras and spectrality as tools for axiomatic characterization
Speaker(s): Howard Barnum
Abstract: TBA
Date: 15/08/2009 - 2:30 pm

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