Achieving the fundamental quantum limit of linear waveform estimation

• URL: http://arxiv.org/abs/2308.06253v3
• Date: Mon, 26 Feb 2024 18:23:09 GMT
• Title: Achieving the fundamental quantum limit of linear waveform estimation
• Authors: James W. Gardner, Tuvia Gefen, Simon A. Haine, Joseph J. Hope, and Yanbei Chen
• Abstract summary: 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.
• Score: 10.363406065066538
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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