Control through operators for quantum chemistry

TL;DR

This paper addresses quantum control by identifying operators like the Hamiltonian and dipole moment to reach target states, providing existence results, conditions on laser fields, and algorithms for computation.

Contribution

It introduces new local existence results, necessary conditions on laser fields, and algorithms for operator identification in quantum control.

Findings

Existence of solutions for operator identification

Necessary conditions on laser fields for feasibility

Algorithms for effective computation of operators

Abstract

We consider the problem of operator identification in quantum control. The free Hamiltonian and the dipole moment are searched such that a given target state is reached at a given time. A local existence result is obtained. As a by-product, our works reveals necessary conditions on the laser field to make the identification feasible. In the last part of this work, some algorithms are proposed to compute effectively these operators.