Deconfinement and Error Thresholds in Holography
Ning Bao, ChunJun Cao, Guanyu Zhu
TL;DR
This paper investigates the error correction capabilities of holographic quantum codes, linking their threshold properties to phase transitions in holographic conformal field theories and using geometric insights from holography.
Contribution
It establishes a connection between error thresholds in holographic codes and confinement-deconfinement phase transitions in CFTs, providing a novel theoretical framework.
Findings
Holographic CFTs have an algebraic error threshold.
The threshold is related to the confinement-deconfinement transition.
Geometric intuition from holography supports the CFT results.
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.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Quantum Computing Algorithms and Architecture · Parallel Computing and Optimization Techniques