3 problems
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General Magnus-term scaling conjecture for Bernstein-type pulse functions
Let be a Bernstein-type pulse function, let be the step size parameter, and let denote the th Magnus term. Let denote the f…
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High-order superconvergence for generalized Magnus-expansion algorithms
Consider generalizations of the algorithms based on truncating the Magnus series at higher orders for time-dependent Hamiltonian simulation. High-order Magnus superconvergence conj…
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Fourth-order superconvergence of the second-order Magnus expansion
Let the Magnus series expansion for a time-dependent Hamiltonian be truncated after its second-order term. Second-order Magnus superconvergence conjecture. The resulting expansion…