Continuous joint measurement of two-qubit fluorescence: quantum dynamics and entanglement

We consider a continuous weak measurement scheme in which two qubit-cavity systems are allowed to fluoresce, and their fluorescence signals are mixed before being routed to a measurement apparatus. We theoretically investigate the stochastic quantum trajectories, qubit state dynamics, and entanglement dynamics between the qubits under such a joint-measurement scheme. Equivalent systems should be experimentally realizable with existing circuit-QED technologies.