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Pré-Publication, Document De Travail Année : 2015

Irreducible decompositions and stationary states of quantum channels

Résumé

For a quantum channel (completely positive, trace-preserving map), we prove a generalization to the infinite dimensional case of a result by Baumgartner and Narnhofer. This result is, in a probabilistic language, a decomposition of a general quantum channel into its irreducible positive recurrent components. This decomposition is related with a communication relation on the reference Hilbert space. This allows us to describe the full structure of invariant states of a quantum channel, and of their supports.

Dates et versions

hal-01182391 , version 1 (31-07-2015)

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Raffaella Carbone, Yan Pautrat. Irreducible decompositions and stationary states of quantum channels. 2015. ⟨hal-01182391⟩
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