A systematic approach to realising quantum filters for high-precision measurements using network synthesis theory. (arXiv:2002.07644v1 [quant-ph])
<a href="http://arxiv.org/find/quant-ph/1/au:+Bentley_J/0/1/0/all/0/1">Joe Bentley</a>, <a href="http://arxiv.org/find/quant-ph/1/au:+Nurdin_H/0/1/0/all/0/1">Hendra Nurdin</a>, <a href="http://arxiv.org/find/quant-ph/1/au:+Chen_Y/0/1/0/all/0/1">Yanbei Chen</a>, <a href="http://arxiv.org/find/quant-ph/1/au:+Miao_H/0/1/0/all/0/1">Haixing Miao</a>

We develop a systematic approach to the realisation of active quantum filters
directly from their frequency-domain transfer functions, utilising a set of
techniques developed by the quantum control community. This opens the path to
the development of new types of active quantum filters for high-precision
measurements. As an illustration, the approach is applied to realise an
all-optical unstable filter with broadband anomalous dispersion, proposed for
enhancing the quantum-limited sensitivity of laser interferometric
gravitational-wave detectors.

We develop a systematic approach to the realisation of active quantum filters
directly from their frequency-domain transfer functions, utilising a set of
techniques developed by the quantum control community. This opens the path to
the development of new types of active quantum filters for high-precision
measurements. As an illustration, the approach is applied to realise an
all-optical unstable filter with broadband anomalous dispersion, proposed for
enhancing the quantum-limited sensitivity of laser interferometric
gravitational-wave detectors.

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