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Limits of the time-multiplexed photon-counting method

Abstract

The progress in building large quantum states and networks requires sophisticated detection techniques to verify the desired operation. To achieve this aim, a cost- and resource-efficient detection method is the time multiplexing of photonic states. This design is assumed to be efficiently scalable; however, it is restricted by inevitable losses and limited detection efficiencies. Here, we investigate the scalability of time-multiplexed detectors under the effects of fiber dispersion and losses. We use the distinguishability of Fock states up to n=20 after passing the time-multiplexed detector as our figure of merit and find that, for realistic setup efficiencies of η=0.85, the optimal size for time-multiplexed detectors is 256 bins.

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