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Half-Integer Spectral Zeros for Leakage Suppression in Fast Transmon Pulses
A flat-top transmon pulse with cosine ramps has exact spectral zeros at half-integer values of ramp duration times anharmonicity, (τ|α|=n+1/2), which predict endpoint-leakage minima in the weak-drive regime. For any self-similar one-scale envelope (Ω(t)=Ω_0 f(t/σ)), the non-adiabaticity parameter is
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