Pauli propagation with tailored truncation enables efficient classical simulation of expectation values for most quantum circuits under any local noise, with high probability and logarithmic effective depth.
Then the Fourier coefficients of different paths are uncorrelated: γ ̸= γ′ =⇒ EC∼Dcirc [Φγ(C)Φγ′(C)] = 0
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Simulating quantum circuits with arbitrary local noise using Pauli Propagation
Pauli propagation with tailored truncation enables efficient classical simulation of expectation values for most quantum circuits under any local noise, with high probability and logarithmic effective depth.