Quantum error correction and large $N$
نویسندگان
چکیده
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 this paper is to fill gap by studying the correcting properties fermionic sector various large N N theories. Specifically we examine SU(N) display="inline">SU(N) matrix mechanics and 3-rank tensor O(N)^3 display="inline">O)3 Both these theories contain gauge groups. We argue that singlet states indeed form a code. Our considerations based purely on analysis do not appeal particular Hamiltonian or holography.
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ژورنال
عنوان ژورنال: SciPost physics
سال: 2021
ISSN: ['2542-4653']
DOI: https://doi.org/10.21468/scipostphys.11.5.094