Continuous TE-PAI provides an unbiased randomized protocol for Hamiltonian simulation free of Trotter error at finite circuit depth, combined with structure-aware variance reduction that achieves up to 96% sampling-cost savings in n=30 tensor-network simulations.
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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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Structure-Aware Variance Reduction for Unbiased Randomized Hamiltonian Simulation
Continuous TE-PAI provides an unbiased randomized protocol for Hamiltonian simulation free of Trotter error at finite circuit depth, combined with structure-aware variance reduction that achieves up to 96% sampling-cost savings in n=30 tensor-network simulations.
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Adiabatic Error Cancellation in Berry Phase Estimation
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).