A note on the stabilizer formalism via noncommutative graphs
Information Theory
2024-03-01 v2 math.IT
Operator Algebras
Quantum Physics
Abstract
In this short note we formulate a stabilizer formalism in the language of noncommutative graphs. The classes of noncommutative graphs we consider are obtained via unitary representations of compact groups, and suitably chosen operators on finite-dimensional Hilbert spaces. Furthermore, in this framework, we generalize previous results in this area for determining when such noncommutative graphs have anticliques.
Cite
@article{arxiv.2310.00762,
title = {A note on the stabilizer formalism via noncommutative graphs},
author = {Roy Araiza and Jihong Cai and Yushan Chen and Abraham Holtermann and Chieh Hsu and Tushar Mohan and Peixue Wu and Zeyuan Yu},
journal= {arXiv preprint arXiv:2310.00762},
year = {2024}
}
Comments
Final version. To appear in "Quantum Information Processing''