45 citations · 124 across the 7 of their papers we have counts for
7 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…
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…
On extrema of the objective functional for short-time generation of single qubit quantum gates
Alexander Pechen, Nikolay Il'in
In the present work the extrema of the objective functional for the problem of generation of quantum gates (logical elements for quantum computations) for two--level systems are in…
Control landscape for ultrafast manipulation by a qubit
Alexander Pechen, Nikolay Il'in
In this work we study extrema of objective functionals for ultrafast manipulation by a qubit. Traps are extrema of the objective functionals which are optimal for manipulation by q…
On critical points of the objective functional for maximization of qubit observables
Alexander Pechen, Nikolay Il'in
We study unconstrained control of a two-level quantum system and analyse critical points of the objective functional which represents quantum average of system observable at some f…
Coherent control of a qubit is trap-free
Alexander Pechen, Nikolay Il'in
There is a strong interest in optimal manipulating of quantum systems by external controls. Traps are controls which are optimal only locally but not globally. If they exist, they…