Locally Mediated Entanglement in Linearized Quantum Gravity

Marios Christodoulou; Andrea Di Biagio; Markus Aspelmeyer; Časlav Brukner; Carlo Rovelli; Richard Howl

doi:10.48550/arXiv.2202.03368

Locally Mediated Entanglement in Linearized Quantum Gravity

Marios Christodoulou, Andrea Di Biagio, Markus Aspelmeyer, Časlav Brukner, Carlo Rovelli, Richard Howl

Publications: Contribution to journal › Article › Peer Reviewed

Abstract

The current interest in laboratory detection of entanglement mediated by gravity was sparked by an information-theoretic argument: entanglement mediated by a local field certifies that the field is not classical. Previous derivations of the effect modeled gravity as instantaneous; here we derive it from linearized quantum general relativity while keeping Lorentz invariance explicit, using the path-integral formalism. In this framework, entanglement is clearly mediated by a quantum feature of the field. We also point out the possibility of observing "retarded"entanglement, which cannot be explained by an instantaneous interaction. This is a difficult experiment for gravity, but is plausible for the analogous electromagnetic case.

Original language	English
Article number	100202
Number of pages	7
Journal	Physical Review Letters
Volume	130
Issue number	10
DOIs	https://doi.org/10.48550/arXiv.2202.03368 https://doi.org/10.1103/PhysRevLett.130.100202
Publication status	Published - 10 Mar 2023

Funding

We acknowledge support of Grants No. 61466 and No. 62312 from the John Templeton Foundation, as part of the “Quantum Information Structure of Spacetime (QISS)” project (qiss.fr). C. B. acknowledges support by the Austrian Science Fund (FWF) through BeyondC (F7103-N38), the European Commission via Testing the Large-Scale Limit of Quantum Mechanics (TEQ) (No. 766900) project, and the Foundational Questions Institute (FQXi). M. A. and C. B. acknowledge support by the Austrian Academy of Sciences (OEAW) through the project “Quantum Reference Frames for Quantum Fields” (IF 2019 59 QRFQF). We thank P. Haslinger for discussions.

Austrian Fields of Science 2012

103025 Quantum mechanics
103028 Theory of relativity

Keywords

quant-ph
gr-qc

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abstract = "The current interest in laboratory detection of entanglement mediated by gravity was sparked by an information-theoretic argument: entanglement mediated by a local field certifies that the field is not classical. Previous derivations of the effect modeled gravity as instantaneous; here we derive it from linearized quantum general relativity while keeping Lorentz invariance explicit, using the path-integral formalism. In this framework, entanglement is clearly mediated by a quantum feature of the field. We also point out the possibility of observing {"}retarded{"}entanglement, which cannot be explained by an instantaneous interaction. This is a difficult experiment for gravity, but is plausible for the analogous electromagnetic case.",

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AU - Howl, Richard

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Locally Mediated Entanglement in Linearized Quantum Gravity

Abstract

Funding

Austrian Fields of Science 2012

Keywords

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