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Quantum Simulation
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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