A path-integral quantum simulation algorithm that encodes non-Markovian dynamics as diagonal unitaries claims polynomial scaling, but its measurement success probability decays exponentially with the number of time steps.
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Polynomial time and space quantum algorithm for the simulation of non-Markovian quantum dynamics
A path-integral quantum simulation algorithm that encodes non-Markovian dynamics as diagonal unitaries claims polynomial scaling, but its measurement success probability decays exponentially with the number of time steps.