论文标题
量子错误校正和大$ n $
Quantum error correction and large $N$
论文作者
论文摘要
近年来，量子误差校正（QEC）已成为AD/CFT的重要组成部分。不幸的是，关于QEC为何在已知的全息系统中持有的为什么没有现场理论的论点。本文的目的是通过研究各种大型$ n $理论的费米尼克部门的错误属性来填补这一空白。具体而言，我们检查$ SU（N）$矩阵量子力学和3级张量$ O（n）^3 $理论。这两种理论都包含大量量规组。我们认为，量规单程状态确实形成了纠正代码的量子错误。我们的考虑纯粹基于大型$ n $分析，不吸引特定形式的哈密顿或全息图。
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.
