Bonn 2025 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 15: Atom and Ion Qubits (joint session QI/Q)
Q 15.4: Talk
Monday, March 10, 2025, 18:00–18:15, HS II
Correction formulas for the Mølmer-Sørensen gate under strong driving — Susanna Kirchhoff1, 2, Frank Wilhelm-Mauch1, 2, and •Felix Motzoi1, 3 — 1Forschungszentrum Juelich (PGI 8 and 12) — 2Saarland University — 3University of Cologne
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.
arXiv:2404.17478