Quantum Trajectories: Unraveling the Lindblad Master Equation

This 2D counterpart runs the same open-quantum-system physics as the 3D Bloch-sphere version, side by side on a flat canvas so the two computations are easy to compare at a glance. On the left, a small ensemble of pure-state quantum trajectories evolves under the Monte Carlo wavefunction method — non-Hermitian drift punctuated by genuinely random quantum jumps sampled from the real jump-rate operator. On the right, the qubit's 2×2 density matrix is integrated directly from the Lindblad master equation, with no reference to any individual trajectory. Averaging the left ensemble's Bloch vectors reconstructs the same physics the right panel computes from scratch; the live coherence, purity and Bloch-vector-gap readouts let you watch that agreement tighten as you add more trajectories.