English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

This article reviews the progress in our understanding of the reconstructionof the bulk spacetime in the holographic correspondence from the dual fieldtheory including an account of how these developments have led to thereproduction of the Page curve of the Hawking radiation from black holes. Wereview quantum error correction and relevant recovery maps with toy examplesbased on tensor networks, and discuss how it provides the desired framework forbulk reconstruction in which apparent inconsistencies with properties of theoperator algebra in the dual field theory are naturally resolved. Theimportance of understanding the modular flow in the dual field theory has beenemphasized. We discuss how the state-dependence of reconstruction of black holemicrostates can be formulated in the framework of quantum error correction withinputs from extremal surfaces along with a quantification of the complexity ofencoding of bulk operators. Finally, we motivate and discuss a class oftractable microstate models of black holes which can illuminate how the blackhole complementarity principle can emerge operationally without encounteringinformation paradoxes, and provide new insights into generation of desirablefeatures of encoding into the Hawking radiation.

Holographic spacetime, black holes and quantum error correcting codes: A review