Navigating Ratio and Stress Triggers_ A GUR Framework for Noise and Magic_State Protocols

This work develops a unified framework—based on the Gravitational-Memory-Ridge (GUR) collapse paradigm—that explains a broad range of phenomena from noise-enhanced entanglement to magic-state distillation. By identifying two universal “gates”—a ratio trigger (mass-memory balance) and a stress trigger (gradient threshold)—we show how engineered dephasing noise can temporarily delay collapse to boost steady-state qubit concurrence, and how a zero-level stabilizer gadget can front-load error suppression to yield ultra-efficient magic-state purification. The paper highlights the power of orchestrating these soft-latch and snap dynamics across physical platforms, and proposes hybrid protocols that interleave controlled noise injection with staged distillation to maximize quantum resources.