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Trapped Ion Quantum Computing

Optimizing Quantum Adiabatic Algorithm

arXiv

Authors: Hongye Hu, Biao Wu

Year

2015

Paper ID

27706

Status

Preprint

Abstract Read

~2 min

Abstract Words

127

Citations

N/A

Abstract

In quantum adiabatic algorithm, as the adiabatic parameter s(t) changes slowly from zero to one with finite rate, a transition to excited states inevitably occurs and this induces an intrinsic computational error. We show that this computational error depends not only on the total computation time T but also on the time derivatives of the adiabatic parameter s(t) at the beginning and the end of evolution. Previous work Phys. Rev. A textbf{82}, 052305 also suggested this result. With six typical paths, we systematically demonstrate how to optimally design an adiabatic path to reduce the computational errors. Our method has a clear physical picture and also explains the pattern of computational error. In this paper we focus on quantum adiabatic search algorithm although our results are general.

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In quantum adiabatic algorithm, as the adiabatic parameter s(t) changes slowly from zero to one with finite rate, a transition to excited states inevitably occurs and this...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1508.05089 [2] arXiv https://arxiv.org/abs/1508.05089 [3] Publisher https://arxiv.org/abs/1508.05089

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