Suppression of effective noise in Hamiltonian simulations

TL;DR

This paper presents a method to simulate high-weight Hamiltonians with non-Markovian noise, using fast pulses to protect the computation and maintain an energy gap, thereby suppressing effective noise.

Contribution

It introduces a technique to simulate complex Hamiltonians while protecting against non-Markovian noise through fast pulse sequences.

Findings

Effective noise can be suppressed during Hamiltonian simulation.

Fast pulses help maintain an energy gap against errors.

Simulation preserves desired computation despite noise.

Abstract

Simulating high-weight Hamiltonians can convert local noise on the original Hamiltonian into undesirable nonlocal noise on the simulated Hamiltonian. Here we show how starting from two-local Hamiltonian in the presence of non-Markovian noise, a desired computation can be simulated as well as protected using fast pulses, while maintaining an energy gap against the errors created in the process.