Abstract:The quantum approximate optimization algorithm (QAOA) is a promising method for solving certain classical combinatorial optimization problems on near-term quantum devices. When employing the QAOA to 3-SAT and Max-3-SAT problems, the quantum cost exhibits an easy-hard-easy or easy-hard pattern respectively as the clause density is changed, just as classical solvers do. We show by numerical simulations and analytical arguments that the adaptive-bias QAOA (ab-QAOA) does not show the easy-hard or easy-hard-easy tr… Show more
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