Quantum noise sets a fundamental limit to the sensitivity of high-precision measurements. Suppressing it can be achieved by using non-classical states and quantum filters, which modify both the noise and signal response. We find a novel approach to realising quantum filters directly from their frequency-domain transfer functions, utilising techniques developed by the quantum control community. It not only allows us to construct quantum filters that defy intuition, but also opens a path towards the systematic design of optimal quantum measurement devices. As an illustration, we show a new optical realisation of an active unstable filter with anomalous dispersion, proposed for improving the quantum-limited sensitivity of gravitational-wave detectors.
@article{arxiv.2002.07644,
title = {Direct approach to realising quantum filters for high-precision measurements},
author = {Joe Bentley and Hendra Nurdin and Yanbei Chen and Haixing Miao},
journal= {arXiv preprint arXiv:2002.07644},
year = {2021}
}