Quantumization of Zero-Knowledge Proofs and Verifiable Computation Circuits
Jincheng Zhang
Abstract
This paper explores the quantumization of zero-knowledge proofs (ZKPs) and verifiable computation circuits (VCCs), presenting a novel approach to achieving secure and verifiable execution of quantum computation programs. The core idea involves leveraging quantum circuit hashing techniques to construct ZKP protocols that demonstrate the correctness of a VCC without revealing its underlying structure. This approach addresses a critical need within the burgeoning field of quantum computing – the provision of robust and trustworthy execution validation mechanisms. We outline the theoretical framework, detailing the key components of the system including the circuit hashing algorithm, the ZKP protocol design, and the associated mathematical formalization. The work contributes to the development of a new paradigm for quantum program verification, offering a potential pathway towards building more reliable and secure quantum computing systems. The presented methodology aims to bridge the gap between the theoretical promise of quantum computation and the practical challenges of ensuring its trustworthiness. ---