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Optics & Laser Technology

Blockchain consensus mechanism based on quantum zero-knowledge proof

Xiaojun Wen, Yongzhi Chen, Xincan Fan, Wei Zhang, Zhengzhong Yi, Junbin Fang

Published Nov 22, 2021• 24 citations
Publisher
DOI
10.1016/j.optlastec.2021.107693

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A verifiable random function (VRF in short) is a powerful pseudo-random function that provides a non-interactively public verifiable proof for the correctness of its output. Recently, VRFs have found essential applications in blockchain design, such as random beacons and proof-of-stake consensus protocols. To our knowledge, the first generation of blockchain systems used inherently inefficient proof-of-work consensuses, and the research community tried to achieve the same properties by proposing proof-of-stake schemes where resource-intensive proof-of-work is emulated by cryptographic constructions. Unfortunately, those most discussed proof-of-stake consensuses (e.g., Algorand and Ouroborous family) are not future-proof because the building blocks are secure only under the classical hard assumptions; in particular, their designs ignore the advent of quantum computing and its implications. In this paper, we propose a generic compiler to obtain the post-quantum VRF from the simple VRF solution using symmetric-key primitives (e.g., non-interactive zero-knowledge system) with an intrinsic property of quantum-secure. Our novel solution is realized via two efficient zero-knowledge systems ZKBoo and ZKB++, respectively, to validate the compiler correctness. Our proof-of-concept implementation indicates that even today, the overheads introduced by our solution are acceptable in real-world deployments. We also demonstrate potential applications of a quantum-secure VRF, such as quantum-secure decentralized random beacon and lottery-based proof of stake consensus blockchain protocol.
Quantum blockchain is expected to offer an alternative to classical blockchain to resist malicious attacks laughed by future quantum computers. Although a few quantum blockchain schemes have been constructed, their efficiency is low and unable to meet application requirements due to the fact that they lack of a suitable consensus mechanism. To tackle this issue, a consensus mechanism called quantum delegated proof of stake (QDPoS) is constructed by using quantum voting to provide fast decentralization for the quantum blockchain scheme at first. Then an efficient scheme is proposed for quantum blockchain based on QDPoS, where the classical information is initialized as a part of each single quantum state and these quantum states are entangled to form the chain. Compared with previous methods, the designed quantum blockchain scheme is more complete and carried out with higher efficiency, which greatly contributes to better adapting to the challenges of the quantum era.
With the emergence of quantum computing, traditional cryptographic methods used in blockchain systems face increasing risk. One such area of concern is the Layer-2 protocols zk-Rollups designed to improve scalability and privacy in platforms like Ethereum, which are heavily dependent on classical zero-knowledge proofs such as zk-SNARKs and zk-STARKs. These systems may be compromised by quantum algorithms. To address this, we propose a quantum-secure zk-Rollup model using Quantum Zero-Knowledge Proofs (QZKPs), implemented with IBM’s Qiskit simulator. The protocol uses quantum features like superposition and random basis selection to verify transactions without leaking private data. Simulation results confirm key properties: valid proofs are reliably accepted, while invalid ones are rejected. This demonstrates both the feasibility and future relevance of integrating QZKPs into blockchain systems for post-quantum security.