In our publication we compare different multiplexing architectures of single-photon detectors. We use the purity of the measurement outcomes to characterize their photon-number-resolving ability. Additionally, we calculate the amount of information the measurement outcomes of the different devices can extract from a Hilbert space with a certain dimension. We could confirm that detectors with more multiplexing outcomes enable a higher photon-number-resolving ability; although the splitting between these outcomes needs to be optimized as well.
The paper is available at:
Timon Schapeler and Tim J. Bartley, Phys. Rev. A 106, 013701 (2022)
https://doi.org/10.1103/PhysRevA.106.013701