Exploring Quantum Poincaré Recurrence in Superconducting Multi-Qubit Systems

The concept of quantum Poincaré recurrence —that an isolated quantum system will eventually return arbitrarily close to its original state — raises fundamental questions about dynamics, equilibration, and complexity in many-body systems. We present a framework for exploring these ideas in an experimental superconducting multi-qubit system, and outline how recurrence phenomena might manifest under realistic experimental conditions, including moderate levels of environmental decoherence. We analyze how even modest system sizes can reveal measurable indicators of recurrence behavior, suggesting a path to experimental studies of long-time quantum dynamics and reversibility in engineered quantum systems.