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Number-resolving photo-detection is necessary for many quantum opticsexperiments, especially in the application of entangled state preparation.Several schemes have been proposed for approximating number-resolvingphoto-detection using non-number-resolving detectors. Such techniques includemulti-port detection and time-division multiplexing. We provide a detailedanalysis and comparison of different number-resolving detection schemes, with aview to creating a useful reference for experimentalists. We show that theideal architecture for projective measurements is a function of the detector'sdark count and efficiency parameters. We also describe a process for selectingan appropriate topology given actual experimental component parameters.

Comparison of architectures for approximating number-resolving photo-detection using non-number-resolving detectors