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+ These include Koopman von Neumann formulation, Quantum nonlinear Schr odinger linearization for- mulation and Carleman linearization, amongst others. Koopman von Neumann formulation FTol Theo [Jos20; JLY22c], Num [Lin+22]. Koopman von Neumann mechanics is a description of classical mechanics embedded in a Hilbert space. The dynamical equation can be written as i t = HKvN , where (cid:17) the operator HKvN = i (cid:80) . Furthermore, the probability density is interpreted as = | |2.