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Probing nonlinear adiabatic paths with a universal integrator

arXiv
Authors: Michael Hofmann, Gernot Schaller

Year

2013

Paper ID

31893

Status

Preprint

Abstract Read

~2 min

Abstract Words

70

Citations

N/A

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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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • We apply a flexible numerical integrator to the simulation of adiabatic quantum computation with nonlinear paths.

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