Quantum Trajectories: Unraveling the Lindblad Master Equation

Open quantum systems lose coherence to their environment, and the Lindblad master equation is the standard way to describe that decay for an ensemble. This simulator makes the equation's own derivation visible: instead of only plotting the smooth averaged density matrix, it runs a set of independent Monte Carlo wavefunction trajectories — each qubit evolving under a non-Hermitian effective Hamiltonian punctuated by discrete stochastic quantum jumps — and shows their individual, jagged paths on the Bloch sphere converging, on average, to the deterministic Lindblad prediction. Switch between amplitude damping, pure dephasing and depolarizing noise, dial in the jump rate and a competing coherent drive, and watch live coherence and purity readouts track the ensemble as it decoheres.