Holographic Codes on Bruhat--Tits buildings and Drinfeld Symmetric Spaces

TL;DR

This paper explores the construction of classical and quantum holographic codes on p-adic geometric structures like Bruhat-Tits buildings and Drinfeld spaces, contributing to the understanding of p-adic AdS/CFT correspondence.

Contribution

It introduces methods for building holographic codes on p-adic geometric spaces, advancing the application of AdS/CFT in non-Archimedean settings.

Findings

Development of classical and quantum holographic codes on Bruhat-Tits structures

Framework for p-adic AdS/CFT correspondence

Potential applications in quantum information and number theory

Abstract

This paper is based on the author's talk at the Arbeitstagung 2017. It discusses some general approaches to the construction of classical and quantum holographic codes on Bruhat-Tits trees and buildings and on Drinfeld symmetric spaces, in the context of the p-adic AdS/CFT correspondence.