Meta-QKD Framework via Universal Rough Operator Algebra (UROA): Subsuming the PLOB Bound and Device Vulnerabilities

Abstract

The practical implementation of Quantum Key Distribution (QKD) is heavily constrained by the PLOB bound [1], exponential optical channel loss, and device-dependent side-channel attacks [2]. We deductively elevate these limitations by structurally embedding the quantum optical channel into the 8-Dimensional Seonggil Matrix Space. By redefining decoherence and measurement disturbance as non-commutative quantum friction, the Topological Fractal Brake algebraically suppresses information leakage, bypassing classical linear bounds. This rigorously establishes a theoretical framework for a global, topologically lossless quantum internet without macroscopic repeater overhead.