Hamilton-Jacobi-Bellman equations for Rydberg-blockade processes
Quantum Physics
2024-09-27 v1
Abstract
We discuss time-optimal control problems for two setups involving globally driven Rydberg atoms in the blockade limit by deriving the associated Hamilton-Jacobi-Bellman equations. From these equations, we extract the globally optimal trajectories and the corresponding controls for several target processes of the atomic system, using a generalized method of characteristics. We apply this method to retrieve known results for CZ and C-phase gates, and to find new optimal pulses for all elementary processes involved in the universal quantum computation scheme introduced in [Physical Review Letters 131, 170601 (2023)].
Cite
@article{arxiv.2402.12956,
title = {Hamilton-Jacobi-Bellman equations for Rydberg-blockade processes},
author = {Charles Fromonteil and Roberto Tricarico and Francesco Cesa and Hannes Pichler},
journal= {arXiv preprint arXiv:2402.12956},
year = {2024}
}