Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe
Quantum optimal control, a toolbox for devising and implementing the shapes of external
fields that accomplish given tasks in the operation of a quantum device in the best way …
fields that accomplish given tasks in the operation of a quantum device in the best way …
Time minimal trajectories for a spin 1∕ 2 particle in a magnetic field
In this paper we consider the minimum time population transfer problem for the z component
of the spin of a (spin 1/2) particle, driven by a magnetic field, that is constant along the z axis …
of the spin of a (spin 1/2) particle, driven by a magnetic field, that is constant along the z axis …
Local controllability of 1D linear and nonlinear Schrödinger equations with bilinear control
K Beauchard, C Laurent - Journal de mathématiques pures et appliquées, 2010 - Elsevier
We consider a linear Schrödinger equation, on a bounded interval, with bilinear control, that
represents a quantum particle in an electric field (the control). We prove the exact …
represents a quantum particle in an electric field (the control). We prove the exact …
Controllability of the discrete-spectrum Schrödinger equation driven by an external field
We prove approximate controllability of the bilinear Schrödinger equation in the case in
which the uncontrolled Hamiltonian has discrete non-resonant spectrum. The results that are …
which the uncontrolled Hamiltonian has discrete non-resonant spectrum. The results that are …
Quantum brachistochrone
T Koike - Philosophical Transactions of the Royal Society …, 2022 - royalsocietypublishing.org
Quantum brachistochrone (QB) is a quantum analogue of classical brachistochrone
(shortest path). It is a solution to the following problem: How can we perform a desired …
(shortest path). It is a solution to the following problem: How can we perform a desired …
A weak spectral condition for the controllability of the bilinear Schrödinger equation with application to the control of a rotating planar molecule
In this paper we prove an approximate controllability result for the bilinear Schrödinger
equation. This result requires less restrictive non-resonance hypotheses on the spectrum of …
equation. This result requires less restrictive non-resonance hypotheses on the spectrum of …
[图书][B] Controllability of partial differential equations governed by multiplicative controls
AY Khapalov - 2010 - books.google.com
Page 1 Alexander Y. Khapalov Controllability of Partial Differential Equations Governed by
Multiplicative Controls 2) Springer Page 2 Lecture Notes in Mathematics 1995 Editors: J.-M …
Multiplicative Controls 2) Springer Page 2 Lecture Notes in Mathematics 1995 Editors: J.-M …
[图书][B] Formulation and numerical solution of quantum control problems
A Borzì, G Ciaramella, M Sprengel - 2017 - SIAM
The aim of this book is to provide an introduction to some representative nonrelativistic
quantum control problems and to their theoretical analysis and solution by modern …
quantum control problems and to their theoretical analysis and solution by modern …
Global approximate controllability for Schrödinger equation in higher Sobolev norms and applications
V Nersesyan - Annales de l'Institut Henri Poincaré C, Analyse Non …, 2010 - Elsevier
We prove that the Schrödinger equation is approximately controllable in Sobolev spaces Hs,
s> 0, generically with respect to the potential. We give two applications of this result. First, in …
s> 0, generically with respect to the potential. We give two applications of this result. First, in …
[图书][B] Optimal control with applications in space and quantum dynamics
B Bonnard, D Sugny - 2012 - aimsciences.org
The object of this monograph is to present available techniques to analyze optimal control
problems of systems governed by ordinary differential equations. Coupled with numerical …
problems of systems governed by ordinary differential equations. Coupled with numerical …