Recent theoretical and experimental progress in continuously monitored quantum systems has permitted the real-time tracking of the quantum state during the measurement process. I will discuss (1) how to predict the most likely path between two boundary conditions in time, (2) the probability distribution of entanglement created by the measurement process in two remote qubits, and (3) how to rapidly estimate parameters of the system from the time continuous output. Comparisons of some of these ideas with experimental data will be presented.