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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…
quant-ph2024★ 1 cited
Quantum Random Walks and Quantum Oscillator in an Infinite-Dimensional Phase Space
Vladimir Busovikov, Alexander Pechen, Vsevolod Sakbaev
We consider quantum random walks in an infinite-dimensional phase space constructed using Weyl representation of the coordinate and momentum operators in the space of functions on…
quant-ph2014★ 1 cited
Averaging of one-parameter semigroups and passage to the limit in the space of pseudomeasures
Vsevolod Sakbaev
The sequence of one-parameter semigroups arising as the approximation of initial-boundary value problem with singularities is the object of investigation of this paper. The set of…