3 citations · 6 across the 12 of their papers we have counts for
12 papers
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…
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.
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…
The law of large numbers for discrete generalized quantum channels
S. V. Dzhenzher, V. Zh. Sakbaev
We consider random linear operators acting in a -th Schatten class in a separable Hilbert space fo…
Quantum law of large numbers for Banach spaces
S. Dzhenzher, V. Sakbaev
We consider random operators for some . The law of large numbers is known in the case in the form of usual law of l…
On the extension of singular linear infinite-dimensional Hamiltonian flows
Vladimir Glazatov, Vsevolod Sakbaev
We study Hamiltonian flows in a real separable Hilbert space endowed with a symplectic structure. Measures on the Hilbert space that are invariant with respect to the flows of comp…
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…
Law of Large Numbers for Random Quantum Dynamical Semigroups
John E. Gough, Yurii N. Orlov, Vsevolod Zh. Sakbaev +1
We present a Law of Large Numbers principle for uniformly continuous random quantum dynamical semigroups. Random iterates of independent copies of these semigroups are shown to be…
Randomized Quantum Hamiltonian Systems
John E. Gough, Yurii N. Orlov, Vsevolod Zh. Sakbaev +1
We present a procedure for averaging one-parameter random unitary groups and random self-adjoint groups. Central to this is a generalization of the notion of weak convergence of a…
Self-adjoint approximations of degenerate Schrodinger operator
V. Zh. Sakbaev, I. V. Volovich
The problem of construction a quantum mechanical evolution for the Schrodinger equation with a degenerate Hamiltonian which is a symmetric operator that does not have self-adjoint…
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…
A universal boundary value problem for partial differential equations
V. Zh. Sakbaev, I. V. Volovich
A new boundary value problem for partial differential equations is discussed. We consider an arbitrary solution of an elliptic or parabolic equation in a given domain and no bounda…