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Adiabatic Error Cancellation in Berry Phase Estimation

quant-ph · 2026-04-22 · conditional · novelty 6.0

Forward–reverse evolution, Richardson extrapolation, and runtime randomization cancel the leading O(T^{-1}) adiabatic phase error in Berry phase estimation, yielding O(ε^{-3/2}) total cost (QPE) or Θ(ε^{-1/3}) coherent runtime (Hadamard test).

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