"Any time inhomogeneous quantum memoryless process converges"


Keiji Matsumoto (NII)


By composition of (possibly different) CPTP maps, "information" about the initial state is always monotone non-increasing. To capture this phenomena, we introduce equivalence classes of families of quantum states, which embodies the bundle of all "information quantities" about the initial state, and show the trajectory of any inhomogeneous memoryless process in this space convergent to a point. Also, a characterization of weak ergodicity in this picture is given. ak ergodicity in this picture is given.

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