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Classical stochastic processes can be generated by quantum simulators insteadof the more standard classical ones, such as hidden Markov models. One reasonfor using quantum simulators is that they generally require less memory thantheir classical counterparts. Here, we examine this quantum advantage forstrongly coupled spin systems---the Dyson-like one-dimensional Ising spin chainwith variable interaction length. We find that the advantage scales with bothinteraction range and temperature, growing without bound as interactionincreases. Thus, quantum systems can very efficiently simulate strongly coupledclassical systems.

Extreme Quantum Advantage when Simulating Strongly Coupled Classical Systems