Time-Minimal Control of Dissipative Two-level Quantum Systems: the Generic Case

TL;DR

This paper investigates the optimal control strategies to minimize the time for dissipative two-level quantum systems governed by Lindblad equations, using geometric methods and numerical simulations to identify solutions.

Contribution

It provides a comprehensive analysis of time-minimal control for dissipative quantum systems, combining geometric techniques with numerical methods to determine optimal solutions.

Findings

Optimal control solutions identified for dissipative two-level systems.

Geometric and numerical methods effectively combined for analysis.

Results advance understanding of quantum system controllability.

Abstract

The objective of this article is to complete preliminary results concerning the time-minimal control of dissipative two-level quantum systems whose dynamics is governed by Lindblad equations. The extremal system is described by a 3D-Hamiltonian depending upon three parameters. We combine geometric techniques with numerical simulations to deduce the optimal solutions.