Title: Universal Prime Number Generation via Quantum Simulation (UPQGS)

Jincheng Zhang

Published Sep 6, 2026• 0 citations

Abstract

The generation of prime numbers has historically relied on deterministic algorithms, limiting their security against brute-force attacks. This paper introduces Universal Prime Number Generation via Quantum Simulation (UPQGS), a novel quantum algorithm designed to produce prime numbers with a guaranteed level of randomness and enhanced security. We propose a quantum simulation approach that leverages the inherent properties of quantum mechanics to explore the prime number space in a statistically diverse manner. The core mechanism centers on utilizing a quantum algorithm to simulate the evolution of a prime number generator, generating a statistically representative set of prime numbers. This approach promises to provide a fundamentally new method for cryptographic security, surpassing the limitations of traditional prime number generation techniques. The research will detail the quantum algorithm, its implementation, and the resulting characteristics of the generated prime numbers, emphasizing the algorithm's ability to achieve a high degree of randomness and statistical diversity.

DOI: 10.5281/zenodo.22479260

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