This may be of interest to some. The Phys Org article is below and the 
technical publication follows.

LC

https://phys.org/news/2019-10-quantum-spacetime-simulator.html

https://arxiv.org/abs/1712.08711

Quantum Spacetime on a Quantum Simulator
Keren Li <https://arxiv.org/search/quant-ph?searchtype=author&query=Li%2C+K>
, Youning Li 
<https://arxiv.org/search/quant-ph?searchtype=author&query=Li%2C+Y>, Muxin 
Han <https://arxiv.org/search/quant-ph?searchtype=author&query=Han%2C+M>, Sirui 
Lu <https://arxiv.org/search/quant-ph?searchtype=author&query=Lu%2C+S>, Jie 
Zhou <https://arxiv.org/search/quant-ph?searchtype=author&query=Zhou%2C+J>, 
Dong 
Ruan <https://arxiv.org/search/quant-ph?searchtype=author&query=Ruan%2C+D>, 
Guilu 
Long <https://arxiv.org/search/quant-ph?searchtype=author&query=Long%2C+G>, 
Yidun 
Wan <https://arxiv.org/search/quant-ph?searchtype=author&query=Wan%2C+Y>, Dawei 
Lu <https://arxiv.org/search/quant-ph?searchtype=author&query=Lu%2C+D>, Bei 
Zeng <https://arxiv.org/search/quant-ph?searchtype=author&query=Zeng%2C+B>, 
Raymond 
Laflamme 
<https://arxiv.org/search/quant-ph?searchtype=author&query=Laflamme%2C+R>
(Submitted on 23 Dec 2017)

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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