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PERIMETER INSTITUTE RECORDED SEMINAR ARCHIVE

PIRSA:C11006 - Conceptual Foundations and Foils for Quantum Information Processing - 2011PODCAST Subscribe to podcast

Conceptual Foundations and Foils for Quantum Information Processing

Organizer(s): Giulio Chiribella   Robert Spekkens   Anne Broadbent  

Collection URL: http://pirsa.org/C11006


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Opening Welcome
Speaker(s): Giulio Chiribella
Abstract:
Date: 09/05/2011 - 9:20 am
Tech Note: No slides

Is Information the Key?
Speaker(s): Gilles Brassard
Abstract: Consider the two great physical theories of the twentieth century: relativity and quantum mechanics. Einstein derived relativity from very simple principles. By contrast, the foundation of quantum mechanics is built on a set of rather strange, disjointed and ad hoc axioms, reflecting at best the his... read more
Date: 09/05/2011 - 9:30 am

Part 1: Reformulating and reconstructing quantum theory
Speaker(s): Lucien Hardy
Abstract: I provide a reformulation of finite dimensional quantum theory in the circuit framework in terms of mathematical axioms, and a reconstruction of quantum theory from operational postulates. The mathematical axioms for quantum theory are the following: [Axiom 1] Operations correspond to operators. [Ax... read more
Date: 09/05/2011 - 10:50 am

Quantum Theory as a Theory of Information Processing
Speaker(s): Paolo Perinotti
Abstract: Quantum Theory can be derived from six operational axioms. We introduce the operational and probabilistic language that is used to formulate the principles. After the basic notions of system, state, effect and transformation are reviewed, the principles are stated, and their immediate consequences a... read more
Date: 09/05/2011 - 11:40 am

Entanglement and the three-dimensionality of the Bloch sphere
Speaker(s): Lluis Masanes
Abstract: We consider theories that satisfy: information causality, reversibility, local discriminability, all tight effects are measurable. A property of these theories is that binary systems (with two perfectly distinguishable states and no more) have state spaces with the shape of a unit ball (the Bloch ba... read more
Date: 09/05/2011 - 2:00 pm

From operational axioms to quantum theory - and beyond?
Speaker(s): Markus Mueller
Abstract: Usually, quantum theory (QT) is introduced by giving a list of abstract mathematical postulates, including the Hilbert space formalism and the Born rule. Even though the result is mathematically sound and in perfect agreement with experiment, there remains the question why this formalism is a natura... read more
Date: 09/05/2011 - 2:50 pm

On Basic Principles of General Probabilistic Theories
Speaker(s): Gen Kimura
Abstract: We propose an operationally motivated definition of the physical equivalence of states in General Probabilistic Theories and consider the principle of the physical equivalence of pure states, which turns out to be equivalent to the symmetric structure of the state space. We further consider a princi... read more
Date: 09/05/2011 - 4:10 pm

Almost quantum theory
Speaker(s): Ben Schumacher
Abstract: Modal quantum theory (MQT) is a discrete model that is similar in structure to ordinary quantum theory, but based on a finite field instead of complex amplitudes. Its interpretation involves only the "modal" concepts of possibility and impossibility rather than quantitative probabi... read more
Date: 10/05/2011 - 9:30 am

The logic of quantum mechanics - take II
Speaker(s): Bob Coecke
Abstract: It is now exactly 75 years ago that John von Neumann denounced his own Hilbert space formalism: ``I would like to make a confession which may seem immoral: I do not believe absolutely in Hilbert space no more.'' (sic) [1] His reason was that Hilbert space does not elucidate in any direct manner the ... read more
Date: 10/05/2011 - 10:50 am

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

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