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Absorption in Invariant Domains for Semigroups of Quantum Channels

Absorption in Invariant Domains for Semigroups of Quantum Channels

Abstract We introduce a notion of absorption operators in the context of quantum Markov processes. The absorption problem in invariant domains (enclosures) is treated for a quantum Markov evolution on a separable Hilbert space, both in discrete and continuous times: We define a well-behaving set of positive operators which can …