Zero Knowledge Proofs in Quantum Networks

Abstract:Zero-knowledge proofs (ZKPs) enable the verification of a statement without revealing any information beyond its validity and constitute a fundamental primitive in cryptography and information theory. However, existing constructions rely on computational assumptions and are predominantly confined to bipartite settings, leaving their information-theoretic realization in bipartite or network scenarios largely unexplored. Here we develop a framework for zero-knowledge verification based on the indistinguishability of quantum states under operational constraints. Exploiting the fundamental limitations imposed by local operations, we show that a verifier is inherently restricted from extracting information about the underlying state while retaining the ability to verify correctness. We construct explicit protocols for multiparty quantum networks that achieve information-theoretic security, ensuring that no subset of collaborating parties can gain knowledge beyond the validity of the statement, independent of their joint computational power.

Quantum Physics (quant-ph); Cryptography and Security (cs.CR); Social and Information Networks (cs.SI); Mathematical Physics (math-ph)

arXiv:2609.35339 [quant-ph]

(or arXiv:2609.35339v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2609.35339 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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