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- ItemProbing nonlinear adiabatic paths with a universal integrator(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2013) Hofmann, Michael; Schaller, GernotWe apply a flexible numerical integrator to the simulation of adiabatic quantum computation with nonlinear paths. We find that a nonlinear path may significantly improve the performance of adiabatic algorithms versus the conventional straight-line interpolations. The employed integrator is suitable for solving the time-dependent Schrödinger equation for any qubit Hamiltonian. Its flexible storage format significantly reduces cost for storage and matrix-vector multiplication in comparison to common sparse matrix schemes.