Randomized Trotter formulas achieve O(alpha^2) (and O(alpha^3) with a stronger oracle) error scaling for H=A+alpha B with only constant gate overhead, beating proven lower bounds for deterministic formulas.
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Randomized product formulas beyond optimal deterministic scaling
Randomized Trotter formulas achieve O(alpha^2) (and O(alpha^3) with a stronger oracle) error scaling for H=A+alpha B with only constant gate overhead, beating proven lower bounds for deterministic formulas.