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A Comprehensive Introduction to Sub-Riemannian Geometry

A Comprehensive Introduction to sub-Riemannian Geometry, 2019, Vol.v.Series Number 181

1, 2019

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Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe

EPJ quantum technology, 2022-12, Vol.9 (1), Article 19

2022

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Self-adjoint extensions and stochastic completeness of the Laplace–Beltrami operator on conic and anticonic surfaces

Journal of Differential Equations, 2016-02, Vol.260 (4), p.3234-3269

2016

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Highly Corrupted Image Inpainting Through Hypoelliptic Diffusion

Journal of mathematical imaging and vision, 2018-10, Vol.60 (8), p.1231-1245

2018

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Time minimal trajectories for a spin 1 ∕ 2 particle in a magnetic field

Journal of mathematical physics, 2006-06, Vol.47 (6), p.062101-062101-29

2006

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An obstruction to small-time controllability of the bilinear Schrödinger equation

Journal of mathematical physics, 2021-03, Vol.62 (3)

2021

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Adiabatic Control of the Schrödinger Equation via Conical Intersections of the Eigenvalues

IEEE transactions on automatic control, 2012-08, Vol.57 (8), p.1970-1983

2012

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Quantum Confinement for the Curvature Laplacian −Δ + cK on 2D-Almost-Riemannian Manifolds

Potential analysis, 2023, Vol.58 (3), p.441-464

2023

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Full quantum control of enantiomer-selective state transfer in chiral molecules despite degeneracy

Communications physics, 2022-05, Vol.5 (1), p.1-16, Article 110

2022

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On the control of spin-boson systems

Journal of mathematical physics, 2015-09, Vol.56 (9)

2015

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The intrinsic hypoelliptic Laplacian and its heat kernel on unimodular Lie groups

Journal of functional analysis, 2009-04, Vol.256 (8), p.2621-2655

2009

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Minimal time trajectories for two-level quantum systems with two bounded controls

Journal of mathematical physics, 2014-06, Vol.55 (6)

2014

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Surfaces of genus $g\ge 1$ in 3D contact sub-Riemannian manifolds

ESAIM. Control, optimisation and calculus of variations, 2023-11, Vol.29

2023

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Publisher's Note: “Minimal time trajectories for two-level quantum systems with two bounded controls” [J. Math. Phys. 55, 062106 (2014)]

Journal of mathematical physics, 2014-08, Vol.55 (8)

2014

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Surfaces of genus g ≥ 1 in 3D contact sub-Riemannian manifolds

ESAIM. Control, optimisation and calculus of variations, 2023, Vol.29, p.79

2023

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Effective adiabatic control of a decoupled Hamiltonian obtained by rotating wave approximation

Automatica (Oxford), 2022-02, Vol.136, p.110034, Article 110034

2022

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Classical and Quantum Controllability of a Rotating Symmetric Molecule

SIAM journal on control and optimization, 2021-01, Vol.59 (1), p.156-184

2021

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Introduction to the Pontryagin Maximum Principle for Quantum Optimal Control

PRX quantum, 2021-09, Vol.2 (3), p.030203, Article 030203

2021

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Adiabatic Ensemble Control of a Continuum of Quantum Systems

SIAM journal on control and optimization, 2018-01, Vol.56 (6), p.4045-4068

2018

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Multi-input Schrödinger equation: Controllability, tracking, and application to the quantum angular momentum

Journal of Differential Equations, 2014-06, Vol.256 (11), p.3524-3551

2014

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Extensions of Brownian motion to a family of Grushin-type singularities

Electronic communications in probability, 2020-01, Vol.25 (none)

2020

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The Laplace-Beltrami operator in almost-Riemannian Geometry

Annales de l'Institut Fourier, 2013, Vol.63 (5), p.1739-1770

2013

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Ensemble qubit controllability with a single control via adiabatic and rotating wave approximations

Journal of Differential Equations, 2022-05, Vol.318, p.414-442

2022

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Cortical-inspired image reconstruction via sub-Riemannian geometry and hypoelliptic diffusion

ESAIM. Proceedings and surveys, 2018-01, Vol.64, p.37-53

2018

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Training Schrödinger’s cat: quantum optimal control: Strategic report on current status, visions and goals for research in Europe

The European physical journal. D, Atomic, molecular, and optical physics, 2015-12, Vol.69 (12), Article 279

2015

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A Comprehensive Introduction to Sub-Riemannian Geometry

Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe

Self-adjoint extensions and stochastic completeness of the Laplace–Beltrami operator on conic and anticonic surfaces

Highly Corrupted Image Inpainting Through Hypoelliptic Diffusion

Time minimal trajectories for a spin 1 ∕ 2 particle in a magnetic field

An obstruction to small-time controllability of the bilinear Schrödinger equation

Adiabatic Control of the Schrödinger Equation via Conical Intersections of the Eigenvalues

Quantum Confinement for the Curvature Laplacian −Δ + cK on 2D-Almost-Riemannian Manifolds

Full quantum control of enantiomer-selective state transfer in chiral molecules despite degeneracy

On the control of spin-boson systems

The intrinsic hypoelliptic Laplacian and its heat kernel on unimodular Lie groups

Minimal time trajectories for two-level quantum systems with two bounded controls

Surfaces of genus $g\ge 1$ in 3D contact sub-Riemannian manifolds

Publisher's Note: “Minimal time trajectories for two-level quantum systems with two bounded controls” [J. Math. Phys. 55, 062106 (2014)]

Surfaces of genus g ≥ 1 in 3D contact sub-Riemannian manifolds

Effective adiabatic control of a decoupled Hamiltonian obtained by rotating wave approximation

Classical and Quantum Controllability of a Rotating Symmetric Molecule

Introduction to the Pontryagin Maximum Principle for Quantum Optimal Control

Adiabatic Ensemble Control of a Continuum of Quantum Systems

Multi-input Schrödinger equation: Controllability, tracking, and application to the quantum angular momentum

Extensions of Brownian motion to a family of Grushin-type singularities

The Laplace-Beltrami operator in almost-Riemannian Geometry

Ensemble qubit controllability with a single control via adiabatic and rotating wave approximations

Cortical-inspired image reconstruction via sub-Riemannian geometry and hypoelliptic diffusion

Training Schrödinger’s cat: quantum optimal control: Strategic report on current status, visions and goals for research in Europe

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