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
 Lídia 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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