A recursive quantum time-marching circuit for a second-order Lorenz discretization uses a linear number of initial-state copies but an exponential number of operations and exponentially small postselection probability.
Koopman–von Neumann approach to quantum simulation of nonlinear classical dynamics
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A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics
A recursive quantum time-marching circuit for a second-order Lorenz discretization uses a linear number of initial-state copies but an exponential number of operations and exponentially small postselection probability.