Quantum subsystem codes, CFTs and their $\mathbb{Z}_2$-gaugings
Abstract
We construct Narain conformal field theories (CFTs) from quantum subsystem codes, a more comprehensive class of quantum error-correcting codes than quantum stabilizer codes, for qudit systems of prime dimensions. The resulting code CFTs exhibit a global symmetry, enabling us to perform the -gauging to derive their orbifolded and fermionized theories when the symmetry is non-anomalous. We classify a subset of these subsystem code CFTs using weighted oriented graphs and enumerate those with small central charges. Consequently, we identify several bosonic code CFTs self-dual under the -orbifold, new supersymmetric code CFTs, and a few fermionic code CFTs with spontaneously broken supersymmetry.
Cite
@article{arxiv.2405.18145,
title = {Quantum subsystem codes, CFTs and their $\mathbb{Z}_2$-gaugings},
author = {Keiichi Ando and Kohki Kawabata and Tatsuma Nishioka},
journal= {arXiv preprint arXiv:2405.18145},
year = {2024}
}
Comments
47 pages, 1 figure; v2: typos corrected, minor changes, published version