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Detecting entanglement mediated by gravity confirms its non-classical nature. This study derives entanglement from quantum gravity, showing it

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Area of Science:

  • Quantum Gravity
  • Quantum Information Theory
  • Experimental Physics

Background:

  • Entanglement mediated by a local field indicates the field is not classical.
  • Previous studies modeled gravitational entanglement as instantaneous.
  • Interest in laboratory detection of gravitational entanglement is growing.

Purpose of the Study:

  • To derive entanglement mediated by gravity from linearized quantum general relativity.
  • To maintain Lorentz invariance explicitly in the derivation.
  • To explore the possibility of observing "retarded" entanglement.

Main Methods:

  • Utilizing the path-integral formalism.
  • Deriving entanglement from linearized quantum general relativity.
  • Explicitly maintaining Lorentz invariance.

Main Results:

  • Entanglement is shown to be mediated by a quantum feature of the gravitational field.
  • The derivation accounts for the non-classical nature of the mediating field.
  • The possibility of observing "retarded" entanglement is identified.

Conclusions:

  • The study provides a rigorous framework for understanding gravitational entanglement within quantum general relativity.
  • Observing "retarded" entanglement is proposed, though challenging for gravity.
  • The analogous electromagnetic case presents a more feasible scenario for observing retarded entanglement.