We study environmental decoherence for a quantum Markov semigroup T acting on an arbitrary von Neumann algebra M. In particular, we analyze the relationships between the decomposition of the algebra induced by decoherence and a sort of "isometric-sweeping decomposition" for the space of states. Moreover, when the semigroup has a faithful normal invariant state, we embed the algebra M in its completion M with respect to the scalar product induced by the faithful state, and we compare the decomposition induced by decoherence with some other kind of isometric-sweeping decompositions of M and M.

Environment induced decoherence for Markovian evolutions

CARBONE, RAFFAELLA;
2015-01-01

Abstract

We study environmental decoherence for a quantum Markov semigroup T acting on an arbitrary von Neumann algebra M. In particular, we analyze the relationships between the decomposition of the algebra induced by decoherence and a sort of "isometric-sweeping decomposition" for the space of states. Moreover, when the semigroup has a faithful normal invariant state, we embed the algebra M in its completion M with respect to the scalar product induced by the faithful state, and we compare the decomposition induced by decoherence with some other kind of isometric-sweeping decompositions of M and M.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/1110375
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