March 16, 2020

*Answered by: Jonathan Gorard*

## How do your models relate to tensor networks?

Our formulation of branchlike hypersurfaces within multiway evolution graphs may be thought of as being a variant of the concept of a tensor network; in much the same way as the combinatorial structure of a hierarchical tensor network designates the entanglement structure of ground states in the context of entanglement renormalization methods, connections between branchlike states denote entanglements between global multiway states within our models. However, unlike with a tensor network, the model specifies explicitly how these branchlike hypersurfaces evolve, in accordance with some multiway analog of the Einstein field equations (with, for instance, the Fubini–Study metric tensor playing the role of the standard spacetime metric tensor).