de Bruijn-type identity for systems with flux

Takuya Yamano ()

The European Physical Journal B: Condensed Matter and Complex Systems, 2013, vol. 86, issue 8, 1-6

Abstract: We show that an information-theoretic relation called the de Bruijn-type identity can be reformulated in a physical context with probability currents. The time derivatives of relative entropies under the continuity equation are presented, which shows that the conservation of distance between a pair of distributions is generally not guaranteed. As an important implication of these results, we discuss and present a possible conceptual framework for the classical no-cloning (deleting) theorem and qualitatively assert that we can attribute the perfect performance of the operating machine to the openness (non-vanishing flow at boundaries between the processing machine and the system) during the process. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2013

Keywords: Statistical and Nonlinear Physics (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1140/epjb/e2013-40634-9

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