TY  - JOUR
AU  - Kirchhoff, Susanna
AU  - Wilhelm, Frank K.
AU  - Motzoi, Felix
TI  - Correction Formulas for the Mølmer-Sørensen Gate Under Strong Driving
JO  - PRX quantum
VL  - 6
IS  - 1
SN  - 2691-3399
CY  - College Park, MD
PB  - American Physical Society
M1  - FZJ-2025-02082
SP  - 010328
PY  - 2025
N1  - HelmholtzValidation Fund - Project No. HVF-00096
AB  - The Mølmer-Sørensen gate is a widely used entangling gate for ion platforms with inherent robustness to trap heating. The gate performance is limited by coherent errors, arising from the Lamb-Dicke (LD) approximation and sideband errors. Here, we provide explicit analytical formulas for errors up to fourth order in the LD parameter, by using the Magnus expansion to match numerical precision, and overcome significant orders-of-magnitude underestimation of errors by previous theory methods. We show that fourth-order Magnus expansion terms are unavoidable, being in fact leading order in LD, and are therefore critical to include for typical experimental fidelity ranges. We show how these errors can be dramatically reduced compared to previous theory by using analytical renormalization of the drive strength, by calibration of the Lamb-Dicke parameter, and by the use of smooth pulse shaping.
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:001432392800001
DO  - DOI:10.1103/PRXQuantum.6.010328
UR  - https://juser.fz-juelich.de/record/1040960
ER  -