Philosophers interested in formal modeling of belief and action may be
interested in Lidia del Rio's talk to the quantum information group in
Damtp today; at 14.15, in Meeting Room 5 at CMS.
title and Abstract below:
Best, Jeremy
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Jeremy Butterfield:
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Thursday 14 May 2015
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14:15 Resource theories of knowledge and applications to thermodynamics
In detail:
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Thursday 14 May 2015
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CQIF Seminar
RESOURCE THEORIES OF KNOWLEDGE AND APPLICATIONS TO THERMODYNAMICS
http://talks.cam.ac.uk/talk/index/58895
LÃdia del Rio (University of Bristol)
Thursday 14 May 2015, 14:15 - 15:15 MR5, Centre for Mathematical Sciences,
Wilberforce Road, Cambridge
Inspired by quantum information approaches to thermodynamics, we introduce a
general framework for resource theories, from the perspective of subjective
agents.
First we formalize a way to think of subjective knowledge through what we call
specification spaces, where states of knowledge (or specifications) are
represented by sets whose elements are the possible states of reality admitted
by an observer. We explore how to conciliate different views of reality via
embeddings between specification spaces.
Then we introduce resource theories on specification spaces, which are
constructed from a set of allowed operations, imposing a pre-order structure in
the specification space. We see how to relate, combine and create different
resource theories. The local structure of a specification space (which in
quantum theory is given by tensoring different Hilbert spaces) is not assumed a
priori. Instead, we derive it operationally from commutativity relations in the
set of transformations. Further applications are discussed.
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