Prime Number Primality Testing via Quantum Lattice-Based Search

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper introduces a novel quantum algorithm for efficient primality testing, aiming to surpass the limitations of classical methods through the application of lattice-based search. We detail the design of a quantum circuit that explores the prime number space, leveraging superposition and entanglement to achieve significantly reduced computational complexity. The core mechanism centers around quantum search, allowing for parallel exploration of the vast space of possible prime factors. We present a comprehensive analysis of the algorithm's performance, including a detailed mathematical justification of its efficiency gains compared to established techniques. The paper concludes with a discussion of the potential implications of this quantum approach for cryptography and other applications requiring prime number verification.

DOI: 10.5281/zenodo.22188284

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