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Distributed Proof Theory for Quantum Algorithm Design

Jincheng Zhang

Published Sep 3, 2026• 0 citations
Publisher

Abstract

This paper explores the application of Distributed Proof Theory (DPT) to the design of quantum algorithms. DPT, traditionally used in classical algorithm analysis and complexity theory, provides a framework for decomposing problems into smaller, manageable parts. This decomposition can be directly translated into a strategy for constructing efficient proofs of correctness for quantum circuits. We argue that the core strength of DPT lies in its ability to generate minimal, high-level proofs that accurately capture the essence of a quantum algorithm's behavior. The approach presented here avoids the complexities often associated with directly simulating quantum systems, offering a potentially more tractable and insightful method for designing quantum algorithms. We focus on the construction of proofs that leverage the inherent parallelism of quantum computation and demonstrate how DPT can guide the creation of algorithms with reduced resource requirements. The potential of this framework is significant, offering a new perspective on quantum algorithm design and fostering the development of more robust and efficient quantum solutions.

DOI
10.5281/zenodo.22271645

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