Designing optimal linear detectors -- a bottom-up approach
Abstract
This paper develops a systematic approach to realising linear detectors with an optimised sensitivity, allowing for the detection of extremely weak signals. First, general constraints are derived on a specific class of input-output transfer functions of a linear detector. Then a physical realization of transfer functions in that class is found using the quantum network synthesis technique, which allows for the inference of the physical setup directly from the input-output transfer function. By exploring a minimal realization which has the minimum number of internal modes, it is shown that the optimal such detectors are internal squeezing schemes. Then, investigating non-minimal realizations, which is motivated by the parity-time symmetric systems, a quantum non-demolition measurement is systematically recovered.
Cite
@article{arxiv.2110.07942,
title = {Designing optimal linear detectors -- a bottom-up approach},
author = {Joe Bentley and Hendra Nurdin and Yanbei Chen and Xiang Li and Haixing Miao},
journal= {arXiv preprint arXiv:2110.07942},
year = {2023}
}