Holographic duality between local Hamiltonians from random tensor networks

Understand

The AdS/CFT correspondence realises the holographic principle where information in the bulk of a space is encoded at its border.

• We are yet a long way from a full mathematical construction of AdS/CFT, but toy models in the form of holographic quantum error correcting codes (HQECC) have replicated some interesting features of the correspondence.
• In this work we construct new HQECCs built from random stabilizer tensors that describe a duality between models encompassing local Hamiltonians whilst exactly obeying the Ryu-Takayanagi entropy formula for all boundary regions.
• We also obtain complementary recovery of local bulk operators for any boundary bipartition.