Emergent Mind
Operational Theories of Physics as Categories
(1602.06284)
Published Feb 19, 2016
in
math-ph
,
cs.LO
,
math.CT
,
math.MP
,
and
quant-ph
Abstract
We introduce a new approach to the study of operational theories of physics using category theory. We define a generalisation of the (causal) operational-probabilistic theories of Chiribella et al. and establish their correspondence with our new notion of an operational category. Our work is based on effectus theory, a recently developed area of categorical logic, to which we give an operational interpretation, demonstrating its relevance to the modelling of general probabilistic theories.
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