31 citations · 38 across the 5 of their papers we have counts for
5 papers
Fundamental limits on state preparation for an open qubit
D. A. Abraamian, L. V. Lokutsievskiy, A. N. Pechen
We analytically determine the ultimate limits of state preparation in two-level open quantum systems driven by coherent control. For a dissipative qubit governed by a GKSL master e…
Time-optimal state transfer for an open qubit
L. V. Lokutsievskiy, A. N. Pechen, M. I. Zelikin
Finding minimal time and establishing the structure of the corresponding optimal controls which can transfer a given initial state of a quantum system into a given target state is…
Existence theorem for sub-Lorentzian problems
L. V. Lokutsievskiy, A. V. Podobryaev
In this paper, we prove the existence theorem for longest paths in sub-Lorentzian problems, which generalizes the classical theorem for globally hyperbolic Lorentzian manifolds. We…
Reachable sets for two-level open quantum systems driven by coherent and incoherent controls
Lev Lokutsievskiy, Alexander Pechen
In this work, we study controllability in the set of all density matrices for a two-level open quantum system driven by coherent and incoherent controls. In [A. Pechen, Phys. Rev.…
Explicit formulae for geodesics in left invariant sub-Finsler problems on Heisenberg groups via convex trigonometry
L. V. Lokutsievskiy
In the present paper, we obtain explicit formulae for geodesics in some left-invariant sub-Finsler problems on Heisenberg groups . Our main assumption is the fol…