Universal fault-tolerant logic with heterogeneous holographic codes

Understand

The study of holographic bulk-boundary dualities has led to the construction of novel quantum error correcting codes.

• Although these codes have shed new light on conceptual aspects of these dualities, they have widely been believed to lack a crucial feature of practical quantum error correction: The ability to support universal fault-tolerant quantum logic.
• In this work, we introduce a new class of holographic codes that realize this feature.
• These heterogeneous holographic codes are constructed by combining two seed codes in a tensor network on an alternating hyperbolic tiling.