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Many present day quantum optics experiments, particularly in optical quantuminformation processing, rely on number-resolving photo-detection as a basicbuilding block. In this paper we demonstrate that a simple classicaloptimisation technique can sometimes be employed to post-process the detectorsignature and improve the confidence of the measurement outcome in the presenceof photon-number errors such as loss or dark-counts. While the regime in whichthis technique is applicable is rather restrictive, and will likely not be veryuseful for the large-scale quantum information processing applications of thefuture, the ideas presented might be employed in some present-day experimentswhere photo-detectors are typically very poor.

Optimising number resolving photo-detectors using classical post-processing