# Information Content of the Gravitational Field of a Quantum Superposition

## TL;DR

This paper argues that a quantum superposition of a massive body implies its gravitational field must carry quantum information, supporting the idea that gravity can be entangled and is inherently quantum, even without graviton emission.

## Contribution

It introduces the concept that the gravitational field of a quantum superposition must be entangled with the source, suggesting gravity's quantum nature can be tested through tabletop experiments.

## Key findings

- Gravitational fields of quantum superpositions can carry quantum information.
- Entanglement of gravity with matter implies gravity is inherently quantum.
- Experiments testing gravitational entanglement probe quantum gravity without graviton detection.

## Abstract

When a massive quantum body is put into a spatial superposition, it is of interest to consider the quantum aspects of the gravitational field sourced by the body. We argue that in order to understand how the body may become entangled with other massive bodies via gravitational interactions, it must be thought of as being entangled with its own Newtonian-like gravitational field. Thus, a Newtonian-like gravitational field must be capable of carrying quantum information. Our analysis supports the view that table-top experiments testing entanglement of systems interacting via gravity do probe the quantum nature of gravity, even if no ``gravitons'' are emitted during the experiment.