Holographic Quantum Error Correction from half-line-AdS/BCFT

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Abstract/Contents

Abstract
The AdS/BCFT correspondence is a novel setting in which to study the holographic principle, which has not yet been studied as thoroughly as the regular AdS/CFT correspondence. In particular, it replaces the familiar CFT with one defined on a manifold with a boundary. In this report, we show analogous results on the boundary-bulk operator correspondence as in AdS/CFT, as well as present a tensor network model for the new formulation. In this process, we extend the HKLL construction to AdS/BCFT under particular constraints - namely, states obtained from $\Z_2$ symmetry. We also provide a simulation of the percentage of qubits necessary for recovery of information on the bulk. We then point to future studies implementing this model.

Description

Type of resource text
Date created June 3, 2021
Date modified December 5, 2022
Publication date June 3, 2022

Creators/Contributors

Author Anikeeva, Galit
Degree granting institution Stanford University, Department of Physics
Thesis advisor Hayden, Patrick
Thesis advisor Qi, Xiaoliang

Subjects

Subject quantum error correction
Subject AdS/CFT
Genre Text
Genre Thesis

Bibliographic information

Preferred citation

Preferred citation
Anikeeva, Galit. (2021). Holographic Quantum Error Correction from half-line-AdS/BCFT. Stanford Digital Repository. Available at: https://purl.stanford.edu/xy954tt5426

Collection

Undergraduate Theses, Department of Physics

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