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quant-ph2026
Banach and counting measures, and dynamics of singular quantum states generated by averaging of operator random walks
E. A. Dzhenzher, S. V. Dzhenzher, V. Zh. Sakbaev
In this paper the random channels and their compositions in the space of quantum states are studied. For compositions of i.i.d. random unitary channels, the limit behaviour of prob…
math.PR2026
Limit theorems for the evolution of quantum pure states
S. V. Dzhenzher, V. Zh. Sakbaev
Limit theorems of strong law of large numbers and central limit theorem types are obtained for the compositions of independent identically distributed random unitary channels.
math.FA2026
The Strong Law of Large Numbers for random semigroups with unbounded generators on uniformly smooth Banach spaces
S. V. Dzhenzher, V. Zh. Sakbaev
We consider random linear unbounded operators on a Banach space . For example, such random operators may be random quantum channels. The Law of Large Numbers is known…