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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.12956 |
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| _version_ | 1866916411305099264 |
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| author | Fromonteil, Charles Tricarico, Roberto Cesa, Francesco Pichler, Hannes |
| author_facet | Fromonteil, Charles Tricarico, Roberto Cesa, Francesco Pichler, Hannes |
| contents | 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)]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_12956 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hamilton-Jacobi-Bellman equations for Rydberg-blockade processes Fromonteil, Charles Tricarico, Roberto Cesa, Francesco Pichler, Hannes Quantum Physics 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)]. |
| title | Hamilton-Jacobi-Bellman equations for Rydberg-blockade processes |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2402.12956 |