Single-Shot Quantum Error Correction in Intertwined Toric Codes

Understand

We construct a new subsystem code in three dimensions that exhibits single-shot error correction in a user-friendly and transparent way.

• As this code is a subsystem version of coupled toric codes, we call it the intertwined toric code (ITC).
• Although previous codes share the property of single-shot error correction, the ITC is distinguished by its physically motivated origin, geometrically straightforward logical operators and errors, and a simple phase diagram.
• The code arises from 3d stabilizer toric codes in a way that emphasizes the physical origin of the single-shot property.