具有稀释记忆的量子霍普菲尔德模型

arXiv - PHYS - Disordered Systems and Neural Networks Pub Date : 2024-05-21 DOI:arxiv-2405.13240

Rongfeng Xie, Alex Kamenev

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摘要

我们讨论了具有稀释记忆（存储模式的数量 $p 本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Quantum Hopfield Model with Dilute Memories

We discuss adiabatic spectra and dynamics of the quantum, i.e. transverse field, Hopfield model with dilute memories (the number of stored patterns $p < log_2 N$, where $N$ is the number of qubits). At some critical transverse field the model undergoes the quantum phase transition from the ordered to the paramagnetic state. The corresponding critical exponents are calculated and used to determine efficiency of quantum annealing protocols. We also discuss implications of these results for the quantum annealing of generic spin glass models.