32 citations · 81 across the 11 of their papers we have counts for
11 papers
Higher order traps for some strongly degenerate quantum control systems
Boris Volkov, Alexander Pechen
Quantum control is necessary for a variety of modern quantum technologies as it allows to optimally manipulate quantum systems. An important problem in quantum control is to establ…
Modified Lévy Laplacian on manifold and Yang-Mills instantons
Boris O. Volkov
An infinite dimensional Laplacian defined as the Cesáro mean of the second order directional derivatives on manifold is considered. This Laplacian is parameterized by the choice of…
On the detailed structure of quantum control landscape for fast single qubit phase-shift gate generation
Boris Volkov, Alexander Pechen
In this work, we study the detailed structure of quantum control landscape for the problem of single-qubit phase shift gate generation on the fast time scale. In previous works, th…
Lévy Laplacians, holonomy group and instantons on 4-manifolds
Boris O. Volkov
The connection between Yang--Mills gauge fields on -dimensional orientable compact Riemannian manifolds and modified Lévy Laplacians is studied. A modified Lévy Laplacian is obt…
Quantum control landscape for ultrafast generation of single-qubit phase shift quantum gates
Boris O. Volkov, Oleg V. Morzhin, Alexander N. Pechen
In this work, we consider the problem of ultrafast controlled generation of single-qubit phase shift quantum gates. Globally optimal control is a control which realizes the gate wi…
Levy Laplacians and instantons on manifolds
Boris O. Volkov
The equivalence of the anti-selfduality Yang-Mills equations on the 4-dimensional orientable Riemannian manifold and Laplace equations for some infinite dimensional Laplacians is p…