Adaptive Quantum Circuit Design: Geometric Constraints
Jincheng Zhang
Abstract
This paper introduces an adaptive quantum circuit design algorithm leveraging geometric constraints to effectively address complex functions, particularly within high-dimensional problems. Traditional geometric constraint algorithms often struggle with the inherent complexities of these problems, necessitating a more robust and adaptable approach. Our proposed algorithm dynamically adjusts geometric constraints during the circuit design process, minimizing trapdoors and enhancing simulation accuracy. We demonstrate the effectiveness of this approach through a series of simulations focusing on a challenging, multi-dimensional function. The core mechanism centers on the iterative refinement of geometric constraints based on simulation results, leading to improved performance and robustness. The algorithm offers a novel solution for complex circuit design, potentially accelerating research in areas requiring high-fidelity simulations.