Deconfinement and Error Thresholds in Holography

Abstract

We study the error threshold properties of holographic quantum error-correcting codes. We demonstrate that holographic CFTs admit an algebraic threshold, which is related to the confinement-deconfinement phase transition. We then apply geometric intuition from holography and the Hawking-Page phase transition to motivate the CFT result, and comment on potential extensions to other confining theories.

6 pages, 3 figures. Updated to match published version

References in corpus (3)

• Surface codes: Towards practical large-scale quantum computation
• Observables, gravitational dressing, and obstructions to locality and subsystems
• Large $N$ phase transitions and the fate of small Schwarzschild-AdS black holes

Cited by in corpus (4)

• Topology of critical points and Hawking-Page transition
• Engineering holography with stabilizer graph codes
• Far from Perfect: Quantum Error Correction with (Hyperinvariant) Evenbly Codes
• Biased-Noise Thresholds of Zero-Rate Holographic Codes with Tensor-Network Decoding