Hamilton-Jacobi-Bellman equations for Rydberg-blockade processes

被引：2

作者：

Fromonteil, Charles ^{[1
,2
]}

Tricarico, Roberto ^{[1
,2
,3
]}

Cesa, Francesco ^{[1
,2
,4
,5
]}

Pichler, Hannes ^{[1
,2
]}

机构：

[1] Univ Innsbruck, Inst Theoret Phys, A-6020 Innsbruck, Austria

[2] Austrian Acad Sci, Inst Quantum Opt & Quantum Informat, A-6020 Innsbruck, Austria

[3] Scuola Super Meridionale, Largo San Marcellino 10, I-80138 Naples, Italy

[4] Univ Trieste, Dept Phys, Str Costiera 11, I-34151 Trieste, Italy

[5] Ist Nazl Fis Nucl, Trieste Sect, Via Valerio 2, I-34127 Trieste, Italy

来源：

PHYSICAL REVIEW RESEARCH | 2024年 / 6卷 / 03期

关键词：

VISCOSITY SOLUTIONS; QUANTUM; GATES;

D O I：

10.1103/PhysRevResearch.6.033333

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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 [Phys. Rev. Lett. 131, , 170601 (2023)].

引用

页数：19

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