Quantum walk on a spin network

TL;DR

This paper explores how a discrete quantum walk on a spin network, inspired by loop quantum gravity, can generate entropic forces through entanglement entropy, proposing a new model for quantum particle dynamics.

Contribution

It introduces a novel model of a quantum walk on a spin network within loop quantum gravity, linking entanglement entropy to emergent entropic forces.

Findings

Entanglement entropy can drive an entropic force in quantum walks.

A new model encodes walker position topologically on a spin network.

The approach connects quantum gravity concepts with quantum information dynamics.

Abstract

We apply a discrete quantum walk from a quantum particle on a discrete quantum spacetime from loop quantum gravity and show that the related Entanglement Entropy can drive a entropic force. We apply this concepts to propose a model of a walker position topologically encoded on a spin network.