Title: Quantum Complexity Theory - Entanglement-Driven Verification

Jincheng Zhang

Published Sep 4, 2026• 0 citations

Abstract

Quantum Complexity Theory (QCT) offers a novel framework for verifying the correctness of complex mathematical proofs, moving beyond traditional verification methods reliant on computational complexity. This paper introduces a new protocol leveraging quantum entanglement to simultaneously assess multiple steps within a proof, dramatically increasing the probability of detecting subtle inconsistencies. The core mechanism involves creating entangled qubits to explore the proof space in a fundamentally different way, revealing logical errors with significantly enhanced precision. We demonstrate the effectiveness of this approach through a detailed analysis of a simplified example, highlighting its potential to revolutionize the verification process. The research explores the inherent challenges and opportunities presented by quantum mechanics in this domain, emphasizing the potential for a paradigm shift in mathematical assurance.

DOI: 10.5281/zenodo.22297635

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