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arXiv · 2202.08038

Decoherence for Markov chains

Francesco Fidaleo·Elia Vincenzi
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Abstract

The subspace generated by the eigenvectors pertaining to the peripheral spectrum of any stochastic matrix is naturally equipped with a structure of a (finite dimensional abelian) $C^*$-algebra, and the restriction of such a stochastic matrix to this subspace, indeed a $C^*$-algebra under this canonical new product, generates a conservative $C^*$-dynamical system.

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Francesco Fidaleo, Elia Vincenzi. 2022-02-16. Decoherence for Markov chains. https://arxiv.org/abs/2202.08038

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