Ergodic Dilation of a Quantum Dynamical System
Carlo Pandiscia (2014)
Confluentes Mathematici
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Using the Nagy dilation of linear contractions on Hilbert space and the Stinespring’s theorem for completely positive maps, we prove that any quantum dynamical system admits a dilation in the sense of Muhly and Solel which satisfies the same ergodic properties of the original quantum dynamical system.