UC San Diego

We propose a novel approach to holographic quantum error-correcting codes by replacing perfect tensors with alternative tensors at each node with a small probability. Specifically, we employ repetition tensors as alternatives. The boundary states of our models capture key features of conformal field theory states, particularly the power law of the two-point function and logarithmic entanglement, which are precisely obeyed in many cases. The noisy holographic quantum error-correcting codes on trees and tilings of two-dimensional hyperbolic space preserve the bulk/boundary duality in AdS/CFT, and their boundary states exhibit the features of conformal field theory accordingly.