The geometry of spacetime from quantum measurements
arXiv:2111.12724 · doi:10.1103/PhysRevD.105.066011
Abstract
We provide a setup by which one can recover the geometry of spacetime from local measurements of quantum particle detectors coupled to a quantum field. Concretely, we show how one can recover the field's correlation function from measurements on the detectors. Then, we are able to recover the invariant spacetime interval from the measurement outcomes, and hence reconstruct a notion of spacetime metric. This suggest that quantum particle detectors are the experimentally accessible devices that could replace the classical 'rulers' and 'clocks' of general relativity.
arXiv comment19 pages, 10 Figures, 2 Appendices. RevTeX 4.2. V3: added a picture illustrating the setup
References in corpus (48)
- The Unruh effect and its applications
- Reference frames, superselection rules, and quantum information
- The motion of point particles in curved spacetime
- Violating Bell's inequalities in the vacuum
- Quantum mechanics and the covariance of physical laws in quantum reference frames
- Entanglement harvesting from the electromagnetic vacuum with hydrogenlike atoms
- Spacetime structure and vacuum entanglement
- A change of perspective: switching quantum reference frames via a perspective-neutral framework
- Entanglement between the future and past in the quantum vacuum
- Quantum clocks and the temporal localisability of events in the presence of gravitating quantum systems
- Quantum Measurement Information as a key to Energy Release from Local Vacuums
- Causality issues of particle detector models in QFT and Quantum Optics
- Sustainable entanglement production from a quantum field
- Quantum delocalization, gauge and quantum optics: The light-matter interaction in relativistic quantum information
- Information transmission without energy exchange
- General Relativistic Quantum Optics: Finite-size particle detector models in curved spacetimes
- The Necessity of the Hadamard Condition
- Quantum Energy Teleportation without Limit of Distance
- Broken covariance of particle detector models in relativistic quantum information
- Relativistic Quantum Optics: On the relativistic invariance of the light-matter interaction models
- Harvesting correlations from thermal and squeezed coherent states
- Spacetime Quantum Reference Frames and superpositions of proper times
- Quantum signalling in cavity QED
- Nonperturbative approach to relativistic quantum communication channels
- General no-go theorem for entanglement extraction
- Entanglement harvesting and divergences in quadratic Unruh-DeWitt detectors pairs
- Energy-Entanglement Relation for Quantum Energy Teleportation
- Transmission of quantum information through quantum fields
- Relativistic causality in particle detector models: Faster-than-light signalling and "Impossible measurements"
- Vacuum entanglement enhancement by a weak gravitational field
- Quantum Information Processing and Relativistic Quantum Fields
- Degenerate detectors are unable to harvest spacelike entanglement
- Neutrino flavor oscillations without flavor states
- Long-range entanglement in the Dirac vacuum
- Spacetime Curvature in terms of Scalar Field Propagators
- Replacing the Notion of Spacetime Distance by the Notion of Correlation
- Transmitting qubits through relativistic fields
- Engineering negative stress-energy densities with quantum energy teleportation
- Quantum Signaling in Relativistic Motion and Across Acceleration Horizons
- On Coherent Delocalization in the Light-Matter Interaction
- Quantum gravity, information theory and the CMB
- vs : Gauge invariance in quantum optics
- Anti-particle detector models in QFT
- Information travels in massless fields in 1+1 dimensions where energy cannot
- General features of the thermalization of particle detectors and the Unruh effect
- Direct measurement of the two-point function in quantum fields
- Quantum Shockwave Communication
- Entanglement harvesting from multiple massless scalar fields and divergences in Unruh-DeWitt detector models
Cited by in corpus (21)
- Localized non-relativistic quantum systems in curved spacetimes: a general characterization of particle detector models
- Harvesting entanglement from the gravitational vacuum
- Lensing of Vacuum Entanglement near Schwarzschild Black Holes
- Particle Detectors from Localized Quantum Field Theories
- Ambient temperature versus ambient acceleration in the circular motion Unruh effect
- Spacetime curvature from ultra rapid measurements of quantum fields
- Direct Characteristic-Function Tomography of the Quantum States of Quantum Fields
- Closed-form expressions for smeared bi-distributions of a massless scalar field: non-perturbative and asymptotic results in relativistic quantum information
- Deep Learning Metric Detectors in General Relativity
- Thermodynamics as a tool for (quantum) gravitational dynamics
- Subadditive Average Distances and Quantum Promptness
- Modest holography and bulk reconstruction in asymptotically flat spacetimes
- Entanglement is better teleported than transmitted
- Duality between amplitude and derivative coupled particle detectors in the limit of large energy gaps
- Locally detecting UV cutoffs on a sphere with particle detectors
- Localizing quantum fields with time-dependent potentials
- A spacetime-covariant approach to inertial and accelerated quantum clocks in first-quantization
- Toward a physically motivated notion of Gaussian complexity geometry
- Metric Field as Emergence of Hilbert Space
- Holographic reconstruction of asymptotically flat spacetimes
- Thermal Fisher information for a rotating BTZ black hole