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arXiv · 1311.3938

Probing nonlinear adiabatic paths with a universal integrator

Michael Hofmann·Gernot Schaller
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Abstract

We 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.

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Michael Hofmann, Gernot Schaller. 2014-03-19. Probing nonlinear adiabatic paths with a universal integrator. https://doi.org/10.1103/physreva.89.032308

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