Improving photon detector efficiency using a high-fidelity optical CNOT gate
Katherine L Brown, Robinjeet Singh, Joshua H. Mendez Plaskus, Hanna E., Broadus, Jonathan P. Dowling

TL;DR
This paper explores how high-fidelity optical CNOT gates can enhance photon detector efficiency by comparing multiple measurement schemes and analyzing their performance under various error conditions.
Contribution
It introduces a comparative analysis of five measurement schemes for photon detection using optical CNOT gates, including loss detection capabilities and error performance.
Findings
Certain schemes effectively detect photon loss, improving overall detector fidelity.
A formula is derived to determine when loss detection outweighs the errors introduced.
Performance varies with error rates, guiding optimal scheme selection.
Abstract
A significant problem for optical quantum computing is inefficient, or inaccurate photo-detectors. It is possible to use CNOT gates to improve a detector 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 making multiple measurements, some of which are capable of detecting loss and some of which are not. We explore how each of these schemes performs in the presence of different errors, and derive a formula to find at what probability of qubit loss is it worth detecting loss, and at what probability does this just lead to further errors than the loss introduces.
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