Adaptive Symmetry Breaking in Quantum Algorithms
Jincheng Zhang
Abstract
This paper investigates the potential for adaptive symmetry breaking in quantum algorithms, aiming to enhance their performance through dynamic symmetry adjustments. We propose a novel feedback loop that monitors algorithm progress and iteratively modifies the algorithm's symmetry to optimize for desired outcomes. The core claim is that this mechanism, when implemented effectively, can surpass the limitations of fixed-symmetry algorithms by offering superior results for specific quantum computations. We present a theoretical framework outlining the algorithm's design, detailing the feedback loop's operational principles, and discussing potential challenges and future research directions.