Smooth Rényi Entropy of Ergodic Quantum Information Sources

Berry Schoenmakers; Jilles Tjoelker; Pim Tuyls; Evgeny Verbitskiy

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arXiv · 0704.3504

Smooth Rényi Entropy of Ergodic Quantum Information Sources

Berry Schoenmakers·Jilles Tjoelker·Pim Tuyls·Evgeny Verbitskiy

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Abstract

We prove that the average smooth Renyi entropy rate will approach the entropy rate of a stationary, ergodic information source, which is equal to the Shannon entropy rate for a classical information source and the von Neumann entropy rate for a quantum information source.

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Berry Schoenmakers, Jilles Tjoelker, Pim Tuyls, Evgeny Verbitskiy. 2007-04-26. Smooth Rényi Entropy of Ergodic Quantum Information Sources. https://arxiv.org/abs/0704.3504

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