Quantum error correction and large N


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}}

Alexey Milekhin University of California, Santa Barbara


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