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Distributed Proof Verification via Consensus-Based Quantum Error Correction

Jincheng Zhang

Published Aug 29, 2026• 0 citations
Publisher

Abstract

This paper proposes a novel approach to mathematical proof verification leveraging the principles of quantum computing, specifically consensus-based quantum error correction (CQEC). Traditional proof verification is often a computationally intensive process, particularly for complex proofs. This work introduces a distributed system where multiple quantum computers collaboratively verify a proof, with CQEC employed to identify and rectify errors introduced during the verification process. The core idea is to transform the problem of verifying a single, potentially long and intricate proof into a series of smaller, independently verifiable sub-proofs. These sub-proofs are then distributed across a network of quantum computers. Each computer attempts to verify its assigned sub-proof. A consensus protocol, built upon CQEC, is then applied to the results. This protocol aims to identify inconsistencies and errors arising from the individual verifications, ultimately converging on a definitive verdict regarding the validity of the entire proof. The efficiency gains are predicated on the inherent error correction capabilities of quantum systems and the ability to parallelize the verification process through distributed computation. We explore the theoretical framework, outlining the key components of the system and the mathematical foundation underlying the CQEC protocol. This research suggests a potentially transformative approach to computational verification, offering the prospect of dramatically reducing verification times for complex mathematical arguments.

DOI
10.5281/zenodo.22154476

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