Quantum Koopman Algorithms define an observable-space quantum framework for simulating linear quantum and nonlinear classical dynamics with polylog gate costs in some cases.
∞X k=0 Bkη⊗k # i ,(S109) and so we are dealing with the following dynamical systems: ˙xi =a i(xi) 1 + 1 λiηi
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Quantum Koopman Algorithms
Quantum Koopman Algorithms define an observable-space quantum framework for simulating linear quantum and nonlinear classical dynamics with polylog gate costs in some cases.