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.
arXiv commentAccepted 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 (41)
- Advanced LIGO
- Axion Cosmology
- Introduction to Quantum Noise, Measurement and Amplification
- Enhancing the sensitivity of the LIGO gravitational wave detector by using squeezed states of light
- Detector configuration of KAGRA - the Japanese cryogenic gravitational-wave detector
- Conversion of conventional gravitational-wave interferometers into QND interferometers by modifying their input and/or output optics
- Extended Search for the Invisible Axion with the Axion Dark Matter Experiment
- Sensitivity and Performance of the Advanced LIGO Detectors in the Third Observing Run
- Identifying a first-order phase transition in neutron star mergers through gravitational waves
- Search for post-merger gravitational waves from the remnant of the binary neutron star merger GW170817
- Gravitational waves from neutron star mergers and their relation to the nuclear equation of state
- Fundamental Quantum Limit to Waveform Estimation
- Signal recycled laser-interferometer gravitational-wave detectors as optical springs
- Quantum Measurement Theory in Gravitational-Wave Detectors
- Frequency-Dependent Squeezing for Advanced LIGO
- Gravitational Waves from Neutron Stars: A Review
- Evading quantum mechanics
- Interferometer Techniques for Gravitational-Wave Detection
- Optimal estimation of joint parameters in phase space
- Search for gravitational waves from a long-lived remnant of the binary neutron star merger GW170817
- Scaling law in signal recycled laser-interferometer gravitational-wave detectors
- Quantum-Limited Amplification via Reservoir Engineering
- Observation of Parametric Instability in Advanced LIGO
- Gravitational waves from black hole-neutron star binaries I: Classification of waveforms
- Squeezed vacuum used to accelerate the search for a weak classical signal
- Host redshifts from gravitational-wave observations of binary neutron star mergers
- Quantum noise in laser-interferometer gravitational-wave detectors with a heterodyne readout scheme
- Measurement of Optical Response of a Detuned Resonant Sideband Extraction Interferometer
- Ultimate precision of joint quadrature parameter estimation with a Gaussian probe
- Point absorbers in Advanced LIGO
- Towards the Fundamental Quantum Limit of Linear Measurements of Classical Signals
- Interferometers for Displacement-Noise-Free Gravitational-Wave Detection
- A tight Cramér-Rao bound for joint parameter estimation with a pure two-mode squeezed probe
- Displacement- and Timing-Noise Free Gravitational-Wave Detection
- Tuning Advanced LIGO to kilohertz signals from neutron-star collisions
- Fundamental quantum limits of multi-carrier optomechanical sensors
- Enhancing interferometer sensitivity without sacrificing bandwidth and stability: beyond single-mode and resolved-sideband approximation
- 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
- Quantum precision limits of displacement noise free interferometers
- General quantum constraints on detector noise in continuous linear measurements
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- Critical Quantum Sensing: a tutorial on parameter estimation near quantum phase transitions
- Randomized measurements for multi-parameter quantum metrology
- 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