# Controllability of bilinear quantum systems in explicit times via explicit control fields

## TL;DR

This paper establishes explicit times for achieving exact and approximate controllability of bilinear quantum systems described by the Schrödinger equation on a bounded domain, providing constructive control methods.

## Contribution

It offers explicit time bounds and control constructions for the controllability of bilinear quantum systems, advancing practical control strategies.

## Key findings

- Explicit times for global exact controllability.
- Constructive methods for approximate controllability.
- Applicability to one-dimensional bounded quantum systems.

## Abstract

We consider the bilinear Schroedinger equation on a bounded one-dimensional domain and we provide explicit times such that the global exact controllability is verified. In addition, we show how to construct controls for the global approximate controllability.