Exploring holography with boundary fractal-like structures

Dmitry S. Ageev (Department of Mathematical Methods for Quantum Technologies, Steklov Mathematical Institute of Russian Academy of Sciences, Gubkin street 8, 119991 Moscow, Russia)

In this paper, we study the holographic quantum error correcting code properties in different boundary fractal-like structures. We construct and explore different examples of the uberholographic bulk reconstruction corresponding to these structures in higher dimensions for Cantor-like sets, thermal states, and TT¯-deformed conformal field theories. We show how the growth of the dimensionality of the system emphasizes the role of the Cantor set, due to the special bound naturally arising in this context.

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      "value": "In this paper, we study the holographic quantum error correcting code properties in different boundary fractal-like structures. We construct and explore different examples of the uberholographic bulk reconstruction corresponding to these structures in higher dimensions for Cantor-like sets, thermal states, and <math><mrow><mi>T</mi><mover><mrow><mi>T</mi></mrow><mrow><mo>\u00af</mo></mrow></mover></mrow></math>-deformed conformal field theories. We show how the growth of the dimensionality of the system emphasizes the role of the Cantor set, due to the special bound naturally arising in this context."
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Published on:
18 July 2023
Publisher:
APS
Published in:
Physical Review D , Volume 108 (2023)
Issue 2
DOI:
https://doi.org/10.1103/PhysRevD.108.026009
arXiv:
2208.07387
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

Fulltext files: