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The idea that spacetime geometry is built from quantum entanglement has beenwidely accepted in the last years. But how exactly the geometry is related withquantum states is still unclear. In this note, based on the idea of deeplearning, we propose a mechanism for Susskind's QM=GR hypothesis, spacetimegeometry as the optimal generative network of quantum states. We speculate thatthe space geometry stems as a geodesic tensor network which defines the quantumstate complexity of a fundamental quantum state under a given metric. Spacetimecorresponds to an evolving tensor network that generates an evolutionalfundamental quantum system. This mechanism provides (a) a constructivecorrespondence between quantum states and spacetime geometry; (b)a spacetimestructure emerging from a highly constrained geodesic so that the QEC-likestructure shown in AdS/CFT can be naturally realized and (c) a mechanism toderive the gravity equation from the concept of quantum state complexity. Withthis mechanism, spacetime can have a quantum mechanical description. We hopethis may lead to another view direction to understand the basic rules of ourworld.

Spacetime as the optimal generative network of quantum states: a roadmap to QM=GR?