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Mathematical models are an essential component of quantitative science. Theygenerate predictions about the future, based on information available in thepresent. In the spirit of Occam's razor, simpler is better; should two modelsmake identical predictions, the one that requires less input is preferred. Yet,for almost all stochastic processes, even the provably optimal classical modelswaste information. The amount of input information they demand exceeds theamount of predictive information they output. We systematically constructquantum models that break this classical bound, and show that the system ofminimal entropy that simulates such processes must necessarily feature quantumdynamics. This indicates that many observed phenomena could be significantlysimpler than classically possible should quantum effects be involved.

Occam's Quantum Razor: How Quantum Mechanics can reduce the complexity of classical models