Quantum Spacetime on a Quantum Simulator
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.
Cite
@article{arxiv.1712.08711,
title = {Quantum Spacetime on a Quantum Simulator},
author = {Keren Li and Youning Li and Muxin Han and Sirui Lu and Jie Zhou and Dong Ruan and Guilu Long and Yidun Wan and Dawei Lu and Bei Zeng and Raymond Laflamme},
journal= {arXiv preprint arXiv:1712.08711},
year = {2019}
}