"Dynamic Behavior of Non-Linear Quantum Time and the Efficiency of Predictive Correction Protocols in Entangled Systems"

This paper introduces the Ait Zaouit Law (v2.1), a novel quantum error mitigation protocol designed to address periodic phase oscillations and decoherence in superconducting qubits. Unlike static mitigation techniques, the Ait Zaouit protocol utilizes a dynamic "Phase Shielding" methodology that predicts and neutralizes hardware-specific noise drifts in real-time.

Key Research Highlights:

Empirical Validation: The protocol was rigorously tested on 127-qubit IBM Quantum Heron processors, including ibm_marrakesh, ibm_fez, and ibm_torino.

Performance Uplift: Demonstrated a +1.51% precision improvement in Grover’s Search Algorithm success probability.

Circuit Depth Resilience: Successfully maintained signal stability and coherence at an extreme Circuit Depth of 100, where standard execution typically fails.

Scalability: Proven consistency across multiple high-end quantum backends, confirming the law's applicability as a universal mitigation framework for NISQ-era devices.

The Ait Zaouit Law provides a scalable software-based solution to extend the functional lifespan of quantum states, paving the way for more complex and reliable quantum computations in industry and research.