The geometry of spacetime from quantum measurements
- URL: http://arxiv.org/abs/2111.12724v3
- Date: Fri, 9 Dec 2022 11:03:30 GMT
- Title: The geometry of spacetime from quantum measurements
- Authors: T. Rick Perche and Eduardo Mart\'in-Mart\'inez
- Abstract summary: We show how one can recover the field's correlation function from measurements on the detectors.
This suggest that quantum particle detectors are the experimentally accessible devices that could replace the classical 'rulers' and 'clocks' of general relativity.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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.
Related papers
- Geometry and proper time of a relativistic quantum clock [0.0]
A new framework is demonstrated for perturbing the classical path-length functional to include quantum degrees of freedom.
In this framework, a quantum clock travels on geodesics of a family of spacetimes deformed by parameters specifying the clock's quantum state.
arXiv Detail & Related papers (2024-10-10T17:39:29Z) - Action formalism for geometric phases from self-closing quantum
trajectories [55.2480439325792]
We study the geometric phase of a subset of self-closing trajectories induced by a continuous Gaussian measurement of a single qubit system.
We show that the geometric phase of the most likely trajectories undergoes a topological transition for self-closing trajectories as a function of the measurement strength parameter.
arXiv Detail & Related papers (2023-12-22T15:20:02Z) - Fuzzy spacetime: fundamental limits of quantum-optical holographic bulk
reconstruction [0.0]
We realize a version of "short-distance physics corresponds to poor statistics" idea by Kempf.
The "fuzziness" of spacetime that arise from operational measurement protocols can be given a holographic dual interpretation.
The holographic interpretation necessitates metric reconstruction even in principle due to the universality of future infinity.
arXiv Detail & Related papers (2023-03-28T21:59:05Z) - Measurement-induced entanglement and teleportation on a noisy quantum
processor [105.44548669906976]
We investigate measurement-induced quantum information phases on up to 70 superconducting qubits.
We use a duality mapping, to avoid mid-circuit measurement and access different manifestations of the underlying phases.
Our work demonstrates an approach to realize measurement-induced physics at scales that are at the limits of current NISQ processors.
arXiv Detail & Related papers (2023-03-08T18:41:53Z) - Quantum superpositions of Minkowski spacetime [0.0]
"Spacetime superpositions" are quantum superpositions of different spacetimes not related by a global coordinate transformation.
We consider the quantum-gravitational effects produced by superpositions of periodically identified Minkowski spacetime.
We show that the detector's response exhibits discontinuous resonances at rational ratios of the superposed periodic length scale.
arXiv Detail & Related papers (2022-08-25T13:31:05Z) - Quantum conformal symmetries for spacetimes in superposition [0.0]
We build an explicit quantum operator that can map states describing a quantum field on a superposition of spacetimes to states representing a quantum field with a superposition of masses on a Minkowski background.
It can be used to import the phenomenon of particle production in curved spacetime to its conformally equivalent counterpart, thus revealing new features in modified Minkowski spacetime.
arXiv Detail & Related papers (2022-06-30T18:00:02Z) - Spacetime curvature from ultra rapid measurements of quantum fields [0.0]
We write the curvature of spacetime in terms of the excitation probability of particle detectors ultra-rapidly coupled to a quantum field.
We provide an expansion for the excitation probability of a smeared UDW detector delta-coupled to a real scalar quantum field in a curved background.
arXiv Detail & Related papers (2022-02-22T19:00:01Z) - Generalized quantum measurements with matrix product states:
Entanglement phase transition and clusterization [58.720142291102135]
We propose a method for studying the time evolution of many-body quantum lattice systems under continuous and site-resolved measurement.
We observe a peculiar phenomenon of measurement-induced particle clusterization that takes place only for frequent moderately strong measurements, but not for strong infrequent measurements.
arXiv Detail & Related papers (2021-04-21T10:36:57Z) - Observing a Topological Transition in Weak-Measurement-Induced Geometric
Phases [55.41644538483948]
Weak measurements in particular, through their back-action on the system, may enable various levels of coherent control.
We measure the geometric phases induced by sequences of weak measurements and demonstrate a topological transition in the geometric phase controlled by measurement strength.
Our results open new horizons for measurement-enabled quantum control of many-body topological states.
arXiv Detail & Related papers (2021-02-10T19:00:00Z) - Quantum particle across Grushin singularity [77.34726150561087]
We study the phenomenon of transmission across the singularity that separates the two half-cylinders.
All the local realisations of the free (Laplace-Beltrami) quantum Hamiltonian are examined as non-equivalent protocols of transmission/reflection.
This allows to comprehend the distinguished status of the so-called bridging' transmission protocol previously identified in the literature.
arXiv Detail & Related papers (2020-11-27T12:53:23Z) - Projection evolution and quantum spacetime [68.8204255655161]
We discuss the problem of time in quantum mechanics.
An idea of construction of a quantum spacetime as a special set of the allowed states is presented.
An example of a structureless quantum Minkowski-like spacetime is also considered.
arXiv Detail & Related papers (2019-10-24T14:54:11Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.