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, because of triangle-inequality, we have: N ⊗n L (ρ0) − |0n⟩ ⟨0n| 1 ⩽ 2(1 − Prob(L)(All reset)) = 2Prob(L)(Exists one not reset)
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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.