Quantum estimation of the Schwarzschild space-time parameters of the Earth
arXiv:1409.0234 · doi:10.1103/PhysRevD.90.124001
Abstract
We propose a quantum experiment to measure with high precision the Schwarzschild space-time parameters of the Earth. The scheme can also be applied to measure distances by taking into account the curvature of the Earth's space-time. As a wave-packet of (entangled) light is sent from the Earth to a satellite it is red-shifted and deformed due to the curvature of space-time. Measurements after the propagation enable the estimation of the space-time parameters. We compare our results with the state of the art, which involves classical measurement methods, and discuss what developments are required in space-based quantum experiments to improve on the current measurement of the Schwarzschild radius of the Earth.
arXiv comment11 pages, no figures. Ivette Fuentes previously published as Ivette Fuentes-Guridi and Ivette Fuentes-Schuller
References in corpus (34)
- Advances in Quantum Metrology
- Quantum-enhanced measurements: beating the standard quantum limit
- A gravitational wave observatory operating beyond the quantum shot-noise limit: Squeezed light in application
- Experimental demonstration of long-distance continuous-variable quantum key distribution
- Entanglement in continuous variable systems: Recent advances and current perspectives
- Quantum Enhanced Multiple Phase Estimation
- Quantum Enhancement of the Zero-Area Sagnac Interferometer Topology for Gravitational Wave Detection
- Quantum key distribution and 1 Gbit/s data encryption over a single fibre
- Feasibility of satellite quantum key distribution
- Optical phase estimation in the presence of phase-diffusion
- Optimal quantum estimation of loss in bosonic channels
- Optimal quantum estimation of the Unruh-Hawking effect
- Fundamental quantum optics experiments conceivable with satellites -- reaching relativistic distances and velocities
- Entanglement in an expanding spacetime
- Uhlmann fidelity between two-mode Gaussian states
- Quantum metrology with imperfect states and detectors
- Observer dependent entanglement
- Spacetime effects on satellite-based quantum communications
- Spectral structure and decompositions of optical states, and their applications
- Phonon creation by gravitational waves
- Quantum metrology for relativistic quantum fields
- Distribution of squeezed states through an atmospheric channel
- Optimization of quantum interferometric metrological sensors in the presence of photon loss
- Relativistic Quantum Metrology: Exploiting relativity to improve quantum measurement technologies
- Time evolution techniques for detectors in relativistic quantum information
- Experimental Single-Photon Transmission from Satellite to Earth
- Scalar, spinor, and photon fields under relativistic cavity motion
- Quantum optics experiments to the International Space Station ISS: a proposal
- Entanglement generation in relativistic quantum fields
- Experimental quantum key distribution with finite-key security analysis for noisy channels
- Quantum Communication with an Accelerated Partner
- Testing the effects of gravity and motion on quantum entanglement in space-based experiments
- Long-distance remote comparison of ultrastable optical frequencies with 1e-15 instability in fractions of a second
- Fast optical source for quantum key distribution based on semiconductor optical amplifiers
Cited by in corpus (48)
- Advances in Quantum Cryptography
- Gravimetry through non-linear optomechanics
- Optimal probe states for the estimation of Gaussian unitary channels
- Massive quantum systems as interfaces of quantum mechanics and gravity
- The Deep Space Quantum Link: Prospective Fundamental Physics Experiments using Long-Baseline Quantum Optics
- Gaussian quantum steering and its asymmetry in curved spacetime
- Space QUEST mission proposal: Experimentally testing decoherence due to gravity
- Quantum communications and quantum metrology in the spacetime of a rotating planet
- Influence of relativistic effects on satellite-based clock synchronization
- Towards Communication in a Curved Spacetime Geometry
- Gravity in the Quantum Lab
- Does relativistic motion always degrade quantum Fisher information?
- Fisher information as a probe of spacetime structure: Relativistic quantum metrology in (A)dS
- Probing cosmic string spacetime through parameter estimation
- Spacetime effects on wavepackets of coherent light
- Quantum-metrology estimation of spacetime parameters of the Earth outperforming classical precision
- Retrieving the lost fermionic entanglement by partial measurement in noninertial frames
- Satellite-based quantum steering under the influence of spacetime curvature of the Earth
- Quantum estimation in an expanding spacetime
- Gravity enhanced quantum spatial target detection
- Entanglement Enhanced Estimation of a Parameter Embedded in Multiple Phases
- Signatures of gravitational wave memory in the radiative process of entangled quantum probes
- Enhanced quantum teleportation in the background of Schwarzschild spacetime by weak measurements
- Estimating space-time parameters with a quantum probe in a lossy environment
- Gravitational distortion on photon state at the vicinity of the Earth
- Quantum nonlocality in extended theories of gravity
- Gravitational redshift induces quantum interference
- Relativistic quantum clocks
- The influence of the Earth's curved spacetime on Gaussian quantum coherence
- Entanglement of self interacting scalar fields in an expanding spacetime
- Fisher Information of a Black Hole Spacetime
- Testing fundamental physics with photon frequency shift
- Quantum Metrology in the Kerr Metric
- A physically-motivated quantisation of the electromagnetic field on curved spacetimes
- Characterization of quantum and classical correlations in the Earth curved space-time
- Quantifying Quantumness in (A)dS spacetimes with Unruh-DeWitt Detector
- Estimating the Unruh effect via entangled many-body probes
- Estimation of gravitational acceleration with quantum optical interferometers
- Weak measurement effect on optimal estimation with lower and upper bound on relativistic metrology
- Heisenberg-Limited Spin-Mechanical Gravimetry
- Black-box estimation of expanding parameter for de Sitter universe
- Entanglement-enhanced quantum ranging in the near-Earth spacetime
- Trajectory of a massive localised wave function in a curved spacetime geometry
- Observer dependence of photon bunching: The influence of the relativistic redshift on Hong-Ou-Mandel interference
- Parameter estimation in an anisotropic expanding spacetime
- Quantum Parameter Estimation for Detectors in Constantly Accelerated Motion
- Limits to the validity of gravitational redshift as a quantum-optical multimode mixer
- Viability of quantum communication across interstellar distances