Multi-Phase Coupled CMOS Ring Oscillator based Potts Machine

Fuente: arXiv
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Auteurs principaux: Gonul, Yilmaz Ege, Taskin, Baris
Format: Preprint
Publié: 2025
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author Gonul, Yilmaz Ege
Taskin, Baris
author_facet Gonul, Yilmaz Ege
Taskin, Baris
contents This paper presents a coupled ring oscillator based Potts ma chine to solve NP-hard combinatorial optimization problems (COPs). Potts model is a generalization of the Ising model, cap turing multivalued spins in contrast to the binary-valued spins allowed in the Ising model. Similar to recent literature on Ising machines, the proposed architecture of Potts machines imple ments the Potts model with interacting spins represented by cou pled ring oscillators. Unlike Ising machines which are limited to two spin values, Potts machines model COPs that require a larger number of spin values. A major novelty of the proposed Potts machine is the utilization of the N-SHIL (Sub-Harmonic Injection Locking) mechanism, where multiple stable phases are obtained from a single (i.e. ring) oscillator. In evaluation, 3 coloring problems from the DIMACS SATBLIB benchmark and two randomly generated larger problems are mapped to the pro posed architecture. The proposed architecture is demonstrated to solve problems of varying size with 89% to 92% accuracy averaged over multiple iterations. The simulation results show that there is no degradation in accuracy, no significant increase in solution time, and only a linear increase in power dissipation with increasing problem sizes up to 2000 nodes.
format Preprint
id arxiv_https___arxiv_org_abs_2504_04223
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Multi-Phase Coupled CMOS Ring Oscillator based Potts Machine
Gonul, Yilmaz Ege
Taskin, Baris
Hardware Architecture
Emerging Technologies
This paper presents a coupled ring oscillator based Potts ma chine to solve NP-hard combinatorial optimization problems (COPs). Potts model is a generalization of the Ising model, cap turing multivalued spins in contrast to the binary-valued spins allowed in the Ising model. Similar to recent literature on Ising machines, the proposed architecture of Potts machines imple ments the Potts model with interacting spins represented by cou pled ring oscillators. Unlike Ising machines which are limited to two spin values, Potts machines model COPs that require a larger number of spin values. A major novelty of the proposed Potts machine is the utilization of the N-SHIL (Sub-Harmonic Injection Locking) mechanism, where multiple stable phases are obtained from a single (i.e. ring) oscillator. In evaluation, 3 coloring problems from the DIMACS SATBLIB benchmark and two randomly generated larger problems are mapped to the pro posed architecture. The proposed architecture is demonstrated to solve problems of varying size with 89% to 92% accuracy averaged over multiple iterations. The simulation results show that there is no degradation in accuracy, no significant increase in solution time, and only a linear increase in power dissipation with increasing problem sizes up to 2000 nodes.
title Multi-Phase Coupled CMOS Ring Oscillator based Potts Machine
topic Hardware Architecture
Emerging Technologies
url https://arxiv.org/abs/2504.04223