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SUMMARY:Resource theories of knowledge and applications to thermodynamics 
 - Lídia del Rio (University of Bristol)
DTSTART:20150514T131500Z
DTEND:20150514T141500Z
UID:TALK58895@talks.cam.ac.uk
CONTACT:William Matthews
DESCRIPTION:Inspired by quantum information approaches to thermodynamics\,
  we introduce a general framework for resource theories\, from the  perspe
 ctive of subjective agents.\n\nFirst we formalize a way to think of subjec
 tive 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.\nThen we introduce resource theories on specification spaces\, wh
 ich are constructed from a set of allowed operations\, imposing a pre-orde
 r structure in the specification space.  We see how to relate\, combine an
 d create different resource theories. The local structure of a specificati
 on 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 applicatio
 ns are discussed.
LOCATION:MR5\,  Centre for Mathematical Sciences\, Wilberforce Road\, Camb
 ridge
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