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Quantum Simulation

Performance enhancement of quantum annealing under the Lechner-Hauke-Zoller scheme by non-linear driving of the constraint term

arXiv
Authors: Yuki Susa, Hidetoshi Nishimori

Year

2019

Paper ID

14704

Status

Preprint

Abstract Read

~2 min

Abstract Words

106

Citations

N/A

Abstract

We analyze the performance of quantum annealing as formulated by Lechner, Hauke, and Zoller (LHZ), by which a Hamiltonian with all-to-all two-body interactions is reduced to a corresponding Hamiltonian with local many-body interactions. Mean-field analyses show that problematic first-order quantum phase transitions that exist in the original LHZ formulation can be avoided, and thus an exponential speedup is achieved, if we drive the coefficient of the many-body term, which represents the constraint, non-linearly as a function of time. This result applies not only to a simple ferromagnetic model but also to the spin glass problem if a parameter in the spin glass model is chosen appropriately.

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  • We analyze the performance of quantum annealing as formulated by Lechner, Hauke, and Zoller (LHZ), by which a Hamiltonian with all-to-all two-body interactions is reduced to a...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1911.08116 [2] arXiv https://arxiv.org/abs/1911.08116 [3] Publisher https://arxiv.org/abs/1911.08116

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