Quantum Spacetime on a Quantum Simulator
Keren Li, Youning Li, Muxin Han, Sirui Lu, Jie Zhou, Dong Ruan, Guilu, Long, Yidun Wan, Dawei Lu, Bei Zeng, and Raymond Laflamme

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.
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