  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.
Existing HQECCs have been shown to exhibit these properties individually,
whereas our mathematically rigorous toy models capture these features of
AdS/CFT simultaneously, advancing further towards a complete construction of
holographic duality.
