Abstract:
We extend the Blanchard and Olkiewicz's denition of decoherence to open quantum systems
whose dynamics are described by semigroups of positive (and not necessarily complete positive)
operators on B(h). In particular, in the case h = C2, we complete characterize the decomposition
B(h) =M1+M2 of B(h) in the sum of a decoherence-free part M1 and of a space M2 on which
the semigroup vanishes with time.
Keywords:
quantum semigroups, decoherence
MSC:
81, 47
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