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arXiv · 2402.12956

Hamilton-Jacobi-Bellman equations for Rydberg-blockade processes

Charles Fromonteil·Roberto Tricarico·Francesco Cesa·Hannes Pichler
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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)].

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Charles Fromonteil, Roberto Tricarico, Francesco Cesa, Hannes Pichler. 2024-02-20. Hamilton-Jacobi-Bellman equations for Rydberg-blockade processes. https://doi.org/10.1103/physrevresearch.6.033333

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