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Exact correspondence between Renyi entropy flows and physical flows (1502.08020v2)
Published 27 Feb 2015 in quant-ph, cond-mat.mes-hall, and cond-mat.stat-mech
Abstract: We present a universal relation between the flow of a Renyi entropy and the full counting statistics of energy transfers. We prove the exact relation for a flow to a system in thermal equilibrium that is weakly coupled to an arbitrary time-dependent and non-equilibrium system. The exact correspondence, given by this relation, provides a simple protocol to quantify the flows of Shannon and Renyi entropies from the measurements of energy transfer statistics.
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