TL;DR
This paper investigates the properties of holographic quantum error correcting codes in fractal boundary structures, exploring bulk reconstruction in higher dimensions and analyzing the influence of system growth and Cantor sets.
Contribution
It introduces new examples of uberholographic bulk reconstruction for fractal-like boundary structures in higher dimensions, including Cantor sets and deformed conformal field theories.
Findings
Growth of system dimension highlights Cantor set role
Bound naturally arises in the context of fractal structures
Bulk reconstruction methods extend to higher-dimensional fractal boundaries
Abstract
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 -deformed conformal field theories. We show how the growth of the system dimension emphasizes the role of the Cantor set, due to the special bound naturally arising in this context.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Stochastic processes and financial applications · Quantum many-body systems