PIRSA:21030025 Scientific Series Quantum Fields and Strings

DOI10.48660/21030025

Series: Quantum Fields and Strings

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

Milekhin, Alexey. Quantum error correction and large N . Perimeter Institute, Mar. 09, 2021, https://pirsa.org/21030025 

@misc{ pirsa_PIRSA:21030025,
  doi = {10.48660/21030025},
  url = {https://pirsa.org/21030025},
  author = {Milekhin, Alexey},
  keywords = {Quantum Fields and Strings},
  language = {en},
  title = { Quantum error correction and large N },
  publisher = {Perimeter Institute},
  year = {2021},
  month = {mar},
  note = {PIRSA:21030025 see, \url{https://pirsa.org}}
}

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

 

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