Title: Non-Linear Geometry for Parallel Quantum Computation Scheduling
Jincheng Zhang
Abstract
Quantum computation demands highly efficient scheduling algorithms to manage complex quantum operations. Traditional scheduling methods often struggle with the inherent non-linearity of quantum systems, leading to suboptimal flow and increased computational cost. This paper introduces a novel approach, utilizing non-linear geometry, to optimize quantum computation scheduling, dynamically adjusting task assignments based on the quantum state. We propose a geometric scheduling algorithm that adapts to the evolving state of the computation, improving flow and reducing computational overhead. This work addresses a critical challenge in parallel quantum computation by providing a fundamentally new method for optimizing the distribution of quantum information across quantum processors. The proposed algorithm's core mechanism centers around creating a geometric representation of the quantum state and then employing a dynamic adjustment process to ensure optimal flow. The results demonstrate significant improvements in scheduling efficiency compared to existing classical scheduling techniques.