Achieving the fundamental quantum limit of linear waveform estimation
arXiv:2308.06253 · doi:10.1103/PhysRevLett.132.130801
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 Cramér-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 Cramér-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 using this nonstationary measurement.
Accepted on February 20th 2024 for publication in Physical Review Letters. v3. Letter: 6 pages, 4 figures. Supplemental Material: 17 pages, 4 figures
References in corpus (12)
- Advanced LIGO
- Sensitivity and Performance of the Advanced LIGO Detectors in the Third Observing Run
- Search for post-merger gravitational waves from the remnant of the binary neutron star merger GW170817
- Evading quantum mechanics
- Optimal estimation of joint parameters in phase space
- Observation of Parametric Instability in Advanced LIGO
- Measurement of Optical Response of a Detuned Resonant Sideband Extraction Interferometer
- Ultimate precision of joint quadrature parameter estimation with a Gaussian probe
- Interferometers for Displacement-Noise-Free Gravitational-Wave Detection
- Tuning Advanced LIGO to kilohertz signals from neutron-star collisions
- Boosting the sensitivity of high frequency gravitational wave detectors by PT-symmetry
- Nondegenerate internal squeezing: an all-optical, loss-resistant quantum technique for gravitational-wave detection
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- Multiparameter quantum estimation with Gaussian states: efficiently evaluating Holevo, RLD and SLD Cramér-Rao bounds
- Physical-Layer Machine Learning with Multimode Interferometric Photon Counting
- From Independent to Joint: Enhancing Quantum Phase and Correlation Factor Estimation by Squeezed Reservoir Engineering