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Hamilton-Jacobi-Bellman equations for Rydberg-blockade processes
- Source :
- Phys. Rev. Research 6, 033333 (2024)
- Publication Year :
- 2024
-
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)].
- Subjects :
- Quantum Physics
Subjects
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. Research 6, 033333 (2024)
- Publication Type :
- Report
- Accession number :
- edsarx.2402.12956
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevResearch.6.033333