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arXiv · 1409.3673

Around Shannon's Interpretation for Entropy-preserving Stochastic Averages

Marie Choda
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Abstract

We give various characterizations for a positive unital Tr-preserving map on a matrix algebra to preserve the von Neumann entropy of a state. Among others, it is given by that the map behaves as a *-automorphism. This is also equivalent to that the entropy of the stochastic matrix arising from the map and the state is zero.

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Marie Choda. 2014-09-12. Around Shannon's Interpretation for Entropy-preserving Stochastic Averages. https://arxiv.org/abs/1409.3673

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