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PIRSA:21030025

Quantum error correction and large N

APA

Milekhin, A. (2021). Quantum error correction and large N . Perimeter Institute for Theoretical Physics. https://pirsa.org/21030025

Alexey Milekhin University of California, Santa Barbara

Talk numberPIRSA:21030025
Source RepositoryPIRSA

Abstract

In recent years quantum error correction(QEC) has become an important part of AdS/CFT. Unfortunately, there are no field-theoretic arguments about why QEC holds in known holographic systems. The purpose of this paper is to fill this gap by studying the error-correcting properties of the fermionic sector of various large N theories. Specifically, we examine SU(N) matrix quantum mechanics and 3-rank tensor O(N)^3 theories. Both of these theories contain large gauge groups. We argue that gauge singlet states indeed form a quantum error-correcting code. Our considerations are based purely on large N analysis and do not appeal to a particular form of Hamiltonian or holography. Based on: arXiv: 2008.12869