# Gravitationally induced entanglement dynamics between two quantum walkers

## TL;DR

This paper investigates how gravitational-like quantum interactions induce entanglement between two quantum walkers, revealing mass-dependent entanglement growth and sensitivity to noise, with implications for understanding quantum gravity.

## Contribution

It introduces a model of gravitationally induced entanglement between non-interacting quantum walkers and analyzes its dependence on mass and noise.

## Key findings

- Entanglement increases as quantum walks progress.
- Entanglement depends on the mass of the walkers.
- Noise affects the entanglement dynamics.

## Abstract

Quantum walk is a synonym for multi-path interference and faster spread of a particle in a superposition of position space. We study the effects of a quantum mechanical interaction modeled to mimic quantum mechanical gravitational interaction between the two states of the walkers. The study has been carried out to investigate the entanglement generation between the two quantum walkers that do not otherwise interact. We see that the states do in fact get entangled more and more as the quantum walks unfold, and there is an interesting dependence of entanglement generation on the mass of the two particles performing the walks. We also show the sensitivity of entanglement between the two walkers on the noise introduced in one of the walks. The signature of quantum effects due to gravitational interactions highlights the potential role of quantum systems in probing the nature of gravity.