A significant problem for optical quantum computing is inefficient, orinaccurate photo-detectors. It is possible to use CNOT gates to improve adetector by making a large cat state then measuring every qubit in that state.In this paper we develop a code that compares five different schemes for makingmultiple measurements, some of which are capable of detecting loss and some ofwhich are not. We explore how each of these schemes performs in the presence ofdifferent errors, and derive a formula to find at what probability of qubitloss is it worth detecting loss, and at what probability does this just lead tofurther errors than the loss introduces.
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