Quantum-Inspired Cryptographic Protocols for Secure Multi-Party Computation
Jincheng Zhang
Abstract
This paper investigates the application of quantum-inspired cryptographic principles to enhance the security and efficiency of secure multi-party computation (SMC) protocols. Traditional SMC protocols, such as Shamir's Secret Sharing, rely on classical cryptographic assumptions that are increasingly vulnerable to advancements in computing power, particularly with the rise of quantum computers. We propose a framework leveraging concepts from quantum mechanics, specifically superposition and probabilistic approaches, to construct novel SMC protocols. These protocols aim to achieve comparable security levels to existing methods while potentially offering improved performance characteristics and resilience against attacks exploiting classical vulnerabilities. The core of our approach involves replacing deterministic operations with probabilistic ones, mimicking the inherent uncertainty in quantum systems. This reduces the reliance on hard mathematical problems and introduces a layer of complexity that is more difficult for adversaries to analyze. The paper details the design of a modified Shamir Secret Sharing scheme incorporating these quantum-inspired elements and provides a theoretical analysis of its security properties. Ultimately, this work contributes to the exploration of a new paradigm in cryptography, adapting quantum-inspired techniques to bolster the security of distributed computing environments.