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Quantum Error Correction Fault Tolerance Entanglement Theory Quantum Correlations

Reconstruction wedges in AdS/CFT with boundary fractallike structures

arXiv
Authors: Ning Bao, Joydeep Naskar

Year

2022

Paper ID

58813

Status

Preprint

Abstract Read

~2 min

Abstract Words

101

Citations

N/A

Abstract

In this work, we show the robustness of uberholography and its associated quantum error correcting code against the breakdown of entanglement wedge in the presence of highly entropic mixed states in the bulk. We show that for Cantor-set-like erasure in the boundary in AdS3/CFT2, the code distance is independent of the mixed-state entropy in the bulk in the m→infty limit. We also show that for a Sierpinski triangle shaped boundary subregion with fractal boundary erasures in AdS4/CFT3, bulk reconstruction is possible in the presence of highly entropic mixed states in the bulk in the large m regime.

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  • This paper contributes to the Quantum Error Correction & Fault Tolerance research area in the Quantum Articles archive.
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  • In this work, we show the robustness of uberholography and its associated quantum error correcting code against the breakdown of entanglement wedge in the presence of highly...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2209.15026 [2] arXiv https://arxiv.org/abs/2209.15026 [3] Publisher https://arxiv.org/abs/2209.15026

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