Algorithmic Complexity Measurement for Quantum Algorithms

Jincheng Zhang

Published Aug 29, 2026• 0 citations

Abstract

Quantum algorithms represent a significant advancement in computational power, demanding sophisticated algorithmic design and optimization. Traditional complexity measures, such as runtime and memory usage, often fail to adequately capture the inherent challenges posed by quantum mechanics. This paper proposes a novel metric, termed "Quantum Complexity Index" (QCI), designed to address this limitation by integrating both the algorithm's structural properties and its dependence on the underlying quantum hardware. We argue that QCI offers a more holistic and accurate assessment of algorithmic difficulty, providing valuable insights for algorithm design, optimization, and resource planning. The paper details the fundamental principles behind the QCI, presents a preliminary implementation of the metric, and discusses its potential impact on the field of quantum computing.

DOI: 10.5281/zenodo.22158181

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