Holographic duality between local Hamiltonians from random tensor networks

The AdS/CFT correspondence realises the holographic principle where information in bulk of a space is encoded at its border. We are yet long way from full mathematical construction AdS/CFT, but toy models form quantum error correcting codes (HQECC) have replicated some interesting features correspondence. In this work we construct new HQECCs built random stabilizer tensors that describe duality between encompassing local Hamiltonians whilst exactly obeying Ryu-Takayanagi entropy formula for all boundary regions. also obtain complementary recovery operators any bipartition. Existing been shown to exhibit these properties individually, whereas our mathematically rigorous capture simultaneously, advancing further towards complete duality.