A Lyapunov Framework for Quantum Algorithm Design in Combinatorial Optimization with Approximation Ratio Guarantees

This article presents a novel framework using Lyapunov functions for designing quantum algorithms in combinatorial optimization. The focus on approximation ratio guarantees is significant, as it provides a measure of the algorithm's performance. The use of Lyapunov functions suggests a potentially rigorous and systematic approach to algorithm design, which is a positive aspect. The article's publication on ArXiv indicates it's a pre-print, so further peer review and validation are needed.

• •Proposes a Lyapunov framework for designing quantum algorithms.
• •Focuses on combinatorial optimization problems.
• •Provides approximation ratio guarantees.
• •Published on ArXiv (pre-print).