Quantum Estimation of Parameters of Classical Spacetimes
arXiv:1611.05449 · doi:10.1103/PhysRevD.96.105004
Abstract
We describe a quantum limit to measurement of classical spacetimes. Specifically, we formulate a quantum Cramer-Rao lower bound for estimating the single parameter in any one-parameter family of spacetime metrics. We employ the locally covariant formulation of quantum field theory in curved spacetime, which allows for a manifestly background-independent derivation. The result is an uncertainty relation that applies to all globally hyperbolic spacetimes. Among other examples, we apply our method to detection of gravitational waves using the electromagnetic field as a probe, as in laser-interferometric gravitational-wave detectors. Other applications are discussed, from terrestrial gravimetry to cosmology.
23 pages. This article supersedes arXiv:1108.5220
References in corpus (6)
- Advanced LIGO
- GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
- Prospects for doubling the range of Advanced LIGO
- Optimal Quantum-Enhanced Interferometry
- Increasing future gravitational-wave detectors sensitivity by means of amplitude filter cavities and quantum entanglement
- Gravitational parameter estimation in a waveguide
Cited by in corpus (6)
- Quantum interactions between a laser interferometer and gravitational waves
- Quantum scale estimation
- Fundamental Relations between Measurement, Radiation and Decoherence in Gravitational Wave Laser Interferometer Detectors
- Quantum Metrology in the Kerr Metric
- Spacetime geometry fluctuations and geodesic deviation
- Gravitational wave imprints on spontaneous emission