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Entropy in general physical theories

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Quantifying information and uncertainty in terms of entropies has proved invaluable in our understanding of classical and quantum information theory. But can these concepts be extended to other physical theories? Here we consider a general definition of entropy for any physical theory, which reduces to the Shannon and Von-Neumann entropy in the classical and quantum case. We examine the properties and limitations of this quantity, with particular attention to `box world’, a hypothetical physical theory in which all non-signalling correlations exist.

This talk is part of the CQIF Seminar series.

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