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Simulating high-weight Hamiltonians can convert local noise on the originalHamiltonian into undesirable nonlocal noise on the simulated Hamiltonian. Herewe show how starting from two-local Hamiltonian in the presence ofnon-Markovian noise, a desired computation can be simulated as well asprotected using fast pulses, while maintaining an energy gap against the errorscreated in the process.

Suppression of effective noise in Hamiltonian simulations