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arXiv · 2111.00842

Many-body localization enables iterative quantum optimization

Hanteng Wang·Hsiu-Chung Yeh·Alex Kamenev
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Abstract

We suggest an iterative quantum protocol, allowing to solve optimization problems with a glassy energy landscape. It is based on a periodic cycling around the tricritical point of the many-body localization transition. This ensures that each iteration leads to a non-exponentially small probability to find a lower local energy minimum. The other key ingredient is to tailor the cycle parameters to a currently achieved optimal state (the "reference" state) and to reset them once a deeper minimum is found. We show that, if the position of the tricritical point is known, the algorithm allows to approach the absolute minimum with any given precision in a polynomial time.

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Hanteng Wang, Hsiu-Chung Yeh, Alex Kamenev. 2021-11-01. Many-body localization enables iterative quantum optimization. https://doi.org/10.1038/s41467-022-33179-y

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