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Zero-Knowledge Proofs for Quantum State Transfer

Jincheng Zhang

Published Sep 6, 2026• 0 citations
Publisher

Abstract

This paper explores the application of zero-knowledge proofs (ZKPs) to facilitate quantum state transfer. The core idea is to leverage ZKPs to verify the correct reception of a quantum state without revealing the state itself. Traditional quantum communication methods are susceptible to information leakage, and distance limitations restrict effective transmission. This research proposes a novel quantum communication protocol incorporating ZKPs, offering a potential solution to these challenges. The protocol utilizes a series of measurements and cryptographic proofs to guarantee the receiver accurately interprets the intended quantum state. We present a formal mathematical framework for this protocol, detailing the key components and their relationships. The resulting system significantly reduces the risk of information compromise while potentially expanding the practical range of quantum communication. The primary contribution lies in the innovative combination of quantum communication principles with the robust security guarantees provided by ZKPs. We analyze the protocol's performance and discuss its implications for secure quantum networks. ---

DOI
10.5281/zenodo.22473177

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Zero-Knowledge Cryptographic Verification (ZK) represents a significant advancement in secure communication, allowing a prover to demonstrate knowledge without revealing the underlying information. This paper explores a novel approach to ZK verification leveraging the principles of entangled state propagation. We propose a protocol that utilizes entanglement to establish a shared, verifiable state, and employs a quantum-enhanced algorithm to guarantee the state's consistency. This eliminates the need for direct data exchange, offering enhanced security and efficiency compared to traditional cryptographic methods. The core mechanism centers around the creation and manipulation of entangled states, which are then used to build a verifiable proof. This paper provides a detailed theoretical analysis and preliminary implementation of this protocol, demonstrating its potential for secure and efficient verification.
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.
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A Zero-Knowledge Proof basically is a protocol between two parties, the Prover and the Verifier, that allows the Prover to convince the Verifier about the truthness of a non trivial statement without revealing any additional information. Zero Knowledge Proofs have found a lot of practical applications covering most of the protocols concerning about data privacy and protocol verification. Examples of that are anonymous cash or electronic voting. The possibility to have real quantum computers with a reasonable size in a near future is forcing the cryptographic community to devise new methods to provide security that resist quantum attacks. Most of the zero-knowledge protocols used nowadays are based on computational problems like the discrete logarithm problem that can no longer be considered hard, since there are known efficient ways to solve them with quantum algorithms. Cryptographic research about the quantum security of zero knowledge proofs started nearly 20 years ago in a very theoretical approach, but not many papers on that topic appeared since then. The goal of this thesis is writing a survey including the main concepts about quantum secure zero-knowledge protocols, the state-of-the-art both from the theoretical and practical approaches, and an exploration of their potential application areas. The survey will be a good starting document for further students willing to do research in this topic.
Quantum entanglement, a bizarre and fundamental phenomenon in quantum mechanics, offers a tantalizing pathway to information transfer beyond the limitations of classical physics. This research investigates the feasibility of utilizing quantum entanglement for ultra-long-distance information transmission, proposing a novel protocol leveraging entangled states to achieve this goal. The core mechanism centers around establishing quantum entanglement networks and employing sophisticated protection mechanisms to mitigate potential risks associated with information leakage. The proposed protocol aims to overcome the current barriers to quantum communication, offering a potentially transformative approach to secure and long-distance data exchange. This paper explores the theoretical underpinnings, design considerations, and potential challenges associated with implementing this advanced communication paradigm. The core claim is that this protocol can facilitate the transmission of information across unprecedented distances, potentially revolutionizing secure communication and fundamental scientific research.
This paper proposes a novel communication protocol design leveraging the principles of quantum mechanics, specifically quantum entanglement and quantum teleportation. The core claim is to enhance communication security, rate, and reliability by utilizing these quantum phenomena. The protocol is based on Quantum Key Distribution (QKD) protocols, employing entangled particles to securely share cryptographic keys. Furthermore, it incorporates aspects of quantum teleportation to facilitate information transfer. The proposed system fundamentally departs from traditional communication protocols which are vulnerable to eavesdropping, offering a significantly higher level of security due to the inherent properties of quantum mechanics. This design addresses the limitations of classical communication methods and presents a pathway toward truly secure and high-performance communication systems. The key components of this protocol are detailed, including the entanglement generation and distribution, the key exchange process, and the information teleportation scheme. The mathematical framework underpinning these processes is presented, focusing on the core concepts of quantum information theory. ---