Ergodic Dilation of a Quantum Dynamical System
Pandiscia, Carlo1
1 Universitá degli Studi di Roma “Tor Vergata”, Dipartimento di Ingegneria Elettronica, via del Politecnico, 00133 Roma, Italia
Confluentes Mathematici, Tome 6 (2014) no. 1, pp. 77-93.

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.

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DOI : 10.5802/cml.14
Classification : 46L07, 46L55, 46L57
Mots-clés : Quantum Markov process, completely positive maps, Nagy dilation, ergodic state.
Pandiscia, Carlo 1

1 Universitá degli Studi di Roma “Tor Vergata”, Dipartimento di Ingegneria Elettronica, via del Politecnico, 00133 Roma, Italia 
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Pandiscia, Carlo. Ergodic Dilation of a Quantum Dynamical System. Confluentes Mathematici, Tome 6 (2014) no. 1, pp. 77-93. doi : 10.5802/cml.14. http://www.numdam.org/articles/10.5802/cml.14/

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