Quantum Key Distribution Proof via Disjoint Polynomial Paths

The patent segments the quantum key distribution path into multiple disjoint paths through intermediate trusted nodes, where each path is generated using separate polynomials. This segmentation allows the system to extend link distance while maintaining security by ensuring that compromise of one path does not affect other paths, as each path has independent secret shares distributed through Shamir's Secret Sharing scheme.

The patent implements partial verification by checking cumulative values at intermediate nodes rather than verifying every single key transmission. The system generates multiple paths using polynomials but only performs selective verification at trusted nodes, consuming computing resources proportionally to the number of paths rather than exponentially, thus balancing security improvement with resource conservation.

The patent implements feedback mechanisms where intermediate trusted nodes calculate and return cumulative values to the source device. These cumulative values serve as proof of origin and transit, allowing verification of key provenance without requiring complex centralized verification systems. The feedback loop enables automated validation that reduces system complexity compared to manual verification processes.

The patent introduces a new dimension to key distribution by creating multiple disjoint paths through different intermediate devices, effectively adding spatial diversity to the network topology. This dimensional approach allows the system to resist attacks by distributing keys across multiple independent routes, where compromise of one path does not affect others, while managing network complexity through structured polynomial-based path generation.