Spin Echo Noise Compensator (2D)

Real qubits don't stay coherent on their own — a fluctuating local field detunes each one slightly differently, and an ensemble that starts in phase fans apart within microseconds, the T2* dephasing that limits every gate-based quantum processor. This 2D simulator renders that fanning-out directly on a top-down phase disk: sixty qubits sit at the same starting phase, each precessing at its own randomly drawn detuning, while a coherence strip-chart and a per-qubit phase-trajectory diagram track the same math from two more angles at once. Switching on Hahn-echo or multi-pulse CPMG dynamical decoupling fires timed π-pulses that flip each qubit's accumulated phase sign, so the very noise that caused the dephasing undoes itself — the ensemble arrow snaps back toward full length at every refocusing time, exactly the trick real quantum hardware uses to buy extra coherent time between operations.