Entangling gate performance and fidelity limits with neutral atom Förster resonances

• URL: http://arxiv.org/abs/2605.19245v2
• Date: Mon, 25 May 2026 16:28:35 GMT
• Title: Entangling gate performance and fidelity limits with neutral atom Förster resonances
• Abstract summary: Near Frster resonances contain resonantly coupled interaction channels that change control landscape and fidelity.<n>We develop a two-eigenstate model for this regime and show that when allowing for coupling to both pair states in the resonance, the gate fidelity is bounded by $mathcalFleq 1-(/2)/(V_R)$.<n>We construct a gate protocol that saturates this bound in the large-Rabi-frequency limit, improving the existing fidelity limit by approximately $40%$.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Neutral-atom entangling gates are commonly analyzed with a single effective Rydberg-pair state, but near Förster resonances the pair manifold contains resonantly coupled interaction channels that change both the control landscape and the achievable fidelity. We develop a two-eigenstate model for this regime and show that when allowing for coupling to both pair states in the resonance, the gate fidelity is bounded by $\mathcal{F}\leq 1-(π/2)/(Vτ_R)$, for interaction strength $V$ and Rydberg lifetime $τ_R$. We construct a gate protocol that saturates this bound in the large-Rabi-frequency limit, improving the existing fidelity limit by approximately $40\%$. We also evaluate common gate protocols near Förster resonances and find that retaining the exchange dynamics increases predicted fidelities by up to two orders of magnitude over earlier treatments.

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