Quantum error correction and large $N$

  title={Quantum error correction and large \$N\$},
  author={Alexey Milekhin},
  journal={SciPost Physics},
  • A. Milekhin
  • Published 28 August 2020
  • Physics
  • SciPost Physics
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 NN theories. Specifically we examine SU(N)SU(N) matrix quantum mechanics and 3-rank tensor O(N)^3O(N)3 theories. Both of these theories contain large gauge groups. We argue… 

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