Quantum Complexity Theory – Proof of Concept for Verification

Jincheng Zhang

Published Sep 5, 2026• 0 citations

Abstract

Quantum Complexity Theory (QCT) represents a paradigm shift in the verification of complex quantum algorithms, moving beyond traditional methods that struggle with scalability. This paper proposes a novel framework predicated on the application of quantum error correction and superposition to create a 'Quantum Signature' – a formally defined representation of a quantum program's state. This signature will allow for automated verification using quantum computation, significantly enhancing certainty and enabling the efficient assessment of algorithm correctness. The paper details the design of this signature, explores its potential for error mitigation, and discusses the theoretical implications of this approach.

DOI: 10.5281/zenodo.22324963

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