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The AdS/CFT correspondence stipulates a duality between conformal fieldtheories and certain theories of quantum gravity in one higher spatialdimension. However, probing this conjecture on contemporary classical orquantum computers is challenging. We formulate an efficiently implementablemulti-scale entanglement renormalization ansatz (MERA) model of AdS/CFTproviding a mapping between a (1+1)-dimensional critical spin system and a(2+1)-dimensional bulk theory. Using a combination of numerics and analytics,we show that the bulk theory arising from this optimized tensor networkfurnishes excitations with attractive interactions. Remarkably, theseexcitations have one- and two-particle energies matching the predictions formatter coupled to AdS gravity at long distances, thus displaying key featuresof AdS physics. We show that these potentials arise as a direct consequence ofentanglement renormalization and discuss how this approach can be used toefficiently simulate bulk dynamics using realistic quantum devices.

Emergent Holographic Forces from Tensor Networks and Criticality