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Related Experiment Video

Updated: Jul 11, 2025

Digital Inline Holographic Microscopy DIHM of Weakly-scattering Subjects

Digital Inline Holographic Microscopy DIHM of Weakly-scattering Subjects

Published on: February 8, 2014

Holographic codes from hyperinvariant tensor networks.

Matthew Steinberg^1,2, Sebastian Feld^1,2, Alexander Jahn^3,4

¹QuTech, Delft University of Technology, 2628, CJ, Delft, The Netherlands.

Nature Communications

|November 11, 2023

Summary

This summary is machine-generated.

New holographic quantum error-correcting codes precisely match boundary correlation functions expected from anti-de Sitter/conformal field theory (AdS/CFT) models. These codes also show expected breakdowns in complementary recovery under quantum gravity effects.

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Area of Science:

Quantum Information Theory
High Energy Physics
Condensed Matter Physics

Background:

Holographic quantum error-correcting codes model bulk/boundary dualities like AdS/CFT.
Previous tensor network codes reproduced some AdS/CFT properties but not boundary correlation functions.

Purpose of the Study:

To develop holographic codes that accurately reproduce CFT boundary correlation functions.
To establish a dictionary between bulk logical states and boundary renormalization group flow.
To investigate state-dependent breakdowns of complementary recovery.

Main Methods:

Extending hyperinvariant tensor networks into quantum codes.
Developing a new class of exact holographic codes.
Analyzing boundary correlation functions and complementary recovery properties.

Main Results:

The new holographic codes successfully produce correct boundary correlation functions.
A dictionary is established between bulk logical states and critical boundary renormalization group flow.
A state-dependent breakdown of complementary recovery, consistent with AdS/CFT, is observed.

Conclusions:

This work presents a significant advancement in holographic quantum error-correcting codes.
The developed codes provide a more accurate model for AdS/CFT correspondence.
These findings open new avenues for exploring quantum gravity and quantum information.