학술논문

A note on the stabilizer formalism via noncommutative graphs.
Document Type
Article
Source
Quantum Information Processing. Mar2024, Vol. 23 Issue 3, p1-14. 14p.
Subject
*FINITE groups
*NONCOMMUTATIVE algebras
Language
ISSN
1570-0755
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 finite groups and suitably chosen operators on finite-dimensional Hilbert spaces. This type of construction exhibits all the correctable errors by the stabilizer codes. Furthermore, in this framework, we generalize previous results in this area for determining when such noncommutative graphs have anticliques. [ABSTRACT FROM AUTHOR]