Title: Quantum Entanglement-Based Computational Complexity

Jincheng Zhang

Published Sep 1, 2026• 0 citations

Abstract

Quantum entanglement, a peculiar phenomenon in quantum mechanics, offers a fundamentally different approach to computation than classical systems. This research explores the potential of leveraging entanglement as a core building block for computational complexity, proposing a novel method for quantifying the difficulty of algorithms through the development of an entanglement metric. The core claim is that certain computational tasks exhibit inherent complexity that cannot be adequately explained by classical complexity theory, and that this approach could lead to a deeper understanding of the limits of computation. The paper details the creation of an entanglement metric, a mathematical framework designed to directly relate entanglement properties to computational resource requirements, and demonstrates its ability to accurately estimate the complexity of specific algorithms. This work represents a significant step towards a more rigorous and predictive analysis of computational challenges, potentially uncovering previously unrecognized limitations within the realm of algorithmic complexity.

DOI: 10.5281/zenodo.22227024

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