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具有时间维度交换耦合的高效伊辛机

High-Efficiency Ising Machine with Time-Dimensional Exchange Coupling

Zhengyu Du, Haijie Xu, Kaiming Cai, Zhe Yuan, Yue Zhang

arXiv 2608.21753首次发表:更新:

AI 中文总结

该研究提出时间维度交换耦合(TEC)方案,无需复制副本硬件即可提升伊辛机采样效率,在顶点数达2000的MaxCut问题中显著加快收敛速度,经SPICE仿真验证硬件可行性。

AI 中文摘要

传统概率伊辛机常存在构型空间探索效率低下的问题,而基于副本的量子蒙特卡洛方法虽能缓解采样瓶颈,但需付出巨大硬件开销。本文提出一种时间维度交换耦合(TEC),用单个p位网络连续自旋构型间的时间交换相互作用替代空间副本耦合,无需复制副本硬件即可提升采样效率。低温下,反铁磁TEC扩大采样范围;高温下,铁磁TEC稳定最优状态。针对顶点数达2000的最大割(MaxCut)问题,TEC显著加快收敛速度,SPICE仿真验证了硬件可行性,为在现有伊辛机上增强组合优化提供了可扩展、硬件高效的策略。

英文摘要

Conventional probabilistic Ising machines often suffer from inefficient exploration of configuration space, while replica-based quantum Monte Carlo methods reduce sampling bottlenecks at the cost of large hardware overhead. Here we propose a time-dimensional exchange coupling (TEC) that replaces spatial replica coupling with a temporal exchange interaction between successive spin configurations of a single p-bit network. This TEC improves sampling efficiency without duplicating replica hardware. At low temperatures, antiferromagnetic TEC expands sampling range; at high temperatures, ferromagnetic TEC stabilizes the optimal state. For MaxCut problems with up to 2000 vertices, TEC significantly accelerates convergence speed. SPICE simulations confirm hardware feasibility. TEC offers a scalable, hardware-efficient strategy to enhance combinatorial optimization on existing Ising machines.

Comments8 pages, 4 figures

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