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Entropy Accumulation: The Theorem and a Conjecture

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MQIW05 - Beyond I.I.D. in information theory

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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