8 citations · 17 across the 4 of their papers we have counts for
4 papers
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…
On reconstruction of states from evolution induced by quantum dynamical semigroups perturbed by covariant measures
Grigori Amosov, Egor Baitenov, Alexander Pechen
In this work, we show the ability to restore states of quantum systems from evolution induced by quantum dynamical semigroups perturbed by covariant measures. Our procedure describ…
Entropy non-conservation and boundary conditions for Hamiltonian dynamical systems
Gerard McCaul, Alexander Pechen, Denys I. Bondar
Applying the theory of self-adjoint extensions of Hermitian operators to Koopman von Neumann classical mechanics, the most general set of probability distributions is found for whi…
Quantum multipole noise
Alexander Pechen
Quantum multipole noise is defined as a family of creation and annihilation operators with commutation relations proportional to derivatives of delta function of difference of the…