Journal Article

FZJ-2025-02082

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Correction Formulas for the Mølmer-Sørensen Gate Under Strong Driving

Kirchhoff, S. (Corresponding author)FZJ* ; Wilhelm, F. K.FZJ* ; Motzoi, F.FZJ*

2025
American Physical Society College Park, MD

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Please use a persistent id in citations: doi:10.1103/PRXQuantum.6.010328  doi:10.34734/FZJ-2025-02082

Abstract: 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.

Note: HelmholtzValidation Fund - Project No. HVF-00096

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Contributing Institute(s):

1. Quantum Computing Analytics (PGI-12)
2. Quantum Control (PGI-8)

Research Program(s):

1. 5221 - Advanced Solid-State Qubits and Qubit Systems (POF4-522) (POF4-522)
2. PASQuanS2.1 - Programmable Atomic Large-scale Quantum Simulation 2 - SGA1 (101113690) (101113690)
3. QCFD - Quantum Computational Fluid Dynamics (101080085) (101080085)

Appears in the scientific report 2025

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