We propose a measurement protocol to generate quantum entanglement between two remote qubits, through joint homodyne detection of their spontaneous emission. As with previously-known schemes involving photodetection or diffusive parity measurements, the entanglement yield corresponds to our ability to erase information distinguishing certain two-qubit states from the signal. In the present case, this is achieved with a balanced beam splitter, and by choosing a particular phase relationship between the quadratures we monitor at each output. Our scheme is realistic, in that recent experiments have implemented similar measurements on single emitters, capturing spontaneous emission in a superconducting cavity and transmission line with high efficiency, and monitoring it using near quantum-limited amplifiers. Our proposed scheme can create Bell states between our emitters under ideal circumstances, and is therefore of practical significance, and could potentially be used for feedback control aimed at optimizing the entanglement yield and lifetime.