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We consider protocols to generate quantum entanglement between two remotequbits, through joint time-continuous detection of their spontaneous emission.We demonstrate that schemes based on homodyne detection, leading to diffusivequantum trajectories, lead to identical average entanglement yield ascomparable photodetection strategies; this is despite substantial differencesin the two-qubit state dynamics between these schemes, which we explore indetail. The ability to use different measurements to achieve the same ends maybe of practical significance; the less-well-known diffusive scheme appears farmore feasible on superconducting qubit platforms in the near term.

Diffusive entanglement generation by continuous homodyne monitoring of spontaneous emission