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Entropy Accumulation: The Theorem and a Conjecture

Presented by: 
Renato Renner
Monday 23rd July 2018 - 09:45 to 10:30
INI Seminar Room 1
The Entropy Accumulation Theorem is, roughly speaking, the “Beyond-IID”-version of the Asymptotic Equipartition Property. It asserts that the smooth min-entropy of a system that consists of many parts is well approximated by the sum of the von Neumann entropies of its subsystems (evaluated for suitably chosen states of these subsystems). In my talk, I will revisit this theorem and conjecture a generalisation. The latter would extend the accumulation theorem to quantities other than entropies.

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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons