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20062026
most citedIntroduction to the Pontryagin Maximum Principle for Quantum Optimal Control

207 citations · 831 across the 68 of their papers we have counts for

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Showing 2019 · math.OCShow all

6 papers · 2 filters

math.OC2019

An obstruction to small-time controllability of the bilinear Schr{ö}dinger equation

Ivan Beschastnyi, Ugo Boscain, Mario Sigalotti

In this article we discuss which controllability properties of classical Hamiltonian systems are preserved after quantization. We discuss some necessary and some sufficient conditi…

math.OC2019

Bounds on time-optimal concatenations of arcs for two-input driftless 3D systems

M. Sigalotti

We study a driftless system on a three-dimensional manifold driven by two scalar controls. We assume that each scalar control has an independent bound on its modulus and we prove t…

math.OC2019

Semi-conical eigenvalue intersections and the ensemble controllability problem for quantum systems

Nicolas Augier, Ugo Boscain, Mario Sigalotti

We study one-parametric perturbations of finite dimensional real Hamiltonians depending on two controls, and we show that generically in the space of Hamiltonians, conical intersec…

math.OC2019

On the compatibility between the adiabatic and the rotating wave approximations in quantum control

Nicolas Augier, Ugo Boscain, Mario Sigalotti

In this paper, we discuss the compatibility between the rotating-wave and the adiabatic approximations for controlled quantum systems. Although the paper focuses on applications to…

math.OC2019

Fuller singularities for generic control-affine systems with an even number of controls

Francesco Boarotto, Yacine Chitour, Mario Sigalotti

In this article we study how bad can be the singularities of a time-optimal trajectory of a generic control affine system. In the case where the control is scalar and belongs to a…

math.OC2019

Dwell-time control sets and applications to the stability analysis of linear switched systems

Francesco Boarotto, Mario Sigalotti

We propose an extension of the theory of control sets to the case of inputs satisfying a dwell-time constraint. Although the class of such inputs is not closed under concatenation,…