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Bounds, exact optimality within the palindromic family Let hΛ(y) = 1 Λ atan2 2Λy,Λ 2(1 +y 2)−1 ,(C16) JΛ(y) =y+h Λ(y) (C17) be the certified one-mode minimum recovery time in that mode’s natural units

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quant-ph 1

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2026 1

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Motional refocusing for trap-off Rydberg gates

quant-ph · 2026-08-05 · accept · novelty 7.0

A two-switch trap-intensity echo exactly cancels recapture heating in the harmonic approximation, with a time-optimality proof, multi-mode extensions, and an anharmonic composite that changes residual heating from U0^-2 to U0^-4.

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  • Motional refocusing for trap-off Rydberg gates quant-ph · 2026-08-05 · accept · none · ref 3

    A two-switch trap-intensity echo exactly cancels recapture heating in the harmonic approximation, with a time-optimality proof, multi-mode extensions, and an anharmonic composite that changes residual heating from U0^-2 to U0^-4.