A discrete adiabatic theorem viewpoint shows that first-order and higher-order Trotter or exponential-integrator discretizations of adiabatic quantum dynamics admit O(1) time steps, and under boundary cancellation may achieve exponential convergence.
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Large time-step discretisation of adiabatic quantum dynamics
A discrete adiabatic theorem viewpoint shows that first-order and higher-order Trotter or exponential-integrator discretizations of adiabatic quantum dynamics admit O(1) time steps, and under boundary cancellation may achieve exponential convergence.