Duality Dynamics in Quantum State Transitions

This working paper presents a theoretical and experimental framework for detecting operator-level energy exchange during controlled quantum state transitions in a superconducting transmon qubit. Building on the concept of dual-state (Active/Backup) dynamics, the work introduces a minimal viable experiment designed to measure small, structured microwave power signatures associated with qubit transitions. The manuscript develops the mathematical basis, experimental design, noise analysis, and implications for quantum information science and foundational physics.