Prime-Gap-Based Quantum Indistinguishability: Security Proofs for Prime Harmonic QKD
Year: 2026
Type: preprint
Abstract: We prove the first closed-form security parameter for Prime Harmonic Modulation QKD: F_k = cos^2(pi*g_k / (2*p_k*p_{k+1})), where g_k is the prime gap. Under the Cramér conjecture, adjacent-state adversary advantage vanishes superpolynomially. The adaptive prime ladder provides post-quantum forward secrecy. First QKD security proof tied to prime number theory. Patent: PCT/US25/39370. Note: Also available on IACR ePrint: https://eprint.iacr.org/2026/109747
Author: Daoud, Will
Institution: University of South Florida
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7162941329
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