Majorana dimers and holographic quantum error-correcting codes

Understand

Holographic quantum error-correcting codes have been proposed as toy models that describe key aspects of the AdS/CFT correspondence.

• In this work, we introduce a versatile framework of Majorana dimers capturing the intersection of stabilizer and Gaussian Majorana states.
• This picture allows for an efficient contraction with a simple diagrammatic interpretation and is amenable to analytical study of holographic quantum error-correcting codes.
• Equipped with this framework, we revisit the recently proposed hyperbolic pentagon code (HyPeC).