C. Fromonteil, R. Tricarico, F. Cesa, H. Pichler Hamilton-Jacobi-Bellman equations for Rydberg-blockade processes,
(2024-02-20),
arXiv:2402.12956 arXiv:2402.12956 (ID: 721246)
Toggle 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)].