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arXiv · 2308.06253

Achieving the fundamental quantum limit of linear waveform estimation

James W. Gardner·Tuvia Gefen·Simon A. Haine·Joseph J. Hope·Yanbei Chen
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Abstract

Sensing a classical signal using a linear quantum device is a pervasive application of quantum-enhanced measurement. The fundamental precision limits of linear waveform estimation, however, are not fully understood. In certain cases, there is an unexplained gap between the known waveform-estimation Quantum Cram\'er-Rao Bound and the optimal sensitivity from quadrature measurement of the outgoing mode from the device. We resolve this gap by establishing the fundamental precision limit, the waveform-estimation Holevo Cram\'er-Rao Bound, and how to achieve it using a nonstationary measurement. We apply our results to detuned gravitational-wave interferometry to accelerate the search for post-merger remnants from binary neutron-star mergers. If we have an unequal weighting between estimating the signal's power and phase, then we propose how to further improve the signal-to-noise ratio by a factor of $\sqrt2$ using this nonstationary measurement.

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James W. Gardner, Tuvia Gefen, Simon A. Haine, Joseph J. Hope, Yanbei Chen. 2023-08-11. Achieving the fundamental quantum limit of linear waveform estimation. https://doi.org/10.1103/physrevlett.132.130801

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