Quantum Spacetime on a Quantum Simulator

TL;DR

This paper demonstrates the experimental simulation of quantum spacetime structures using a four-qubit nuclear magnetic resonance quantum simulator, modeling quantum tetrahedra and their interactions to explore quantum gravity concepts.

Contribution

First experimental simulation of quantum spacetime components using quantum information processing on a nuclear magnetic resonance platform.

Findings

Successfully simulated quantum tetrahedra and their interactions

Measured geometric properties of quantum tetrahedra

Represents a basic module of quantum spacetime interactions

Abstract

We experimentally simulate the spin networks -- a fundamental description of quantum spacetime at the Planck level. We achieve this by simulating quantum tetrahedra and their interactions. The tensor product of these quantum tetrahedra comprises spin networks. In this initial attempt to study quantum spacetime by quantum information processing, on a four-qubit nuclear magnetic resonance quantum simulator, we simulate the basic module -- comprising five quantum tetrahedra -- of the interactions of quantum spacetime. By measuring the geometric properties on the corresponding quantum tetrahedra and simulate their interactions, our experiment serves as the basic module that represents the Feynman diagram vertex in the spin-network formulation of quantum spacetime.