Quantum error correction and large $N$

Understand

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.