On the relation between a graph code and a graph state
Quantum Physics
2016-02-23 v1
Abstract
A graph state and a graph code respectively are defined based on a mathematical simple graph. In this work, we examine a relation between a graph state and a graph code both obtained from the same graph, and show that a graph state is a superposition of logical qubits of the related graph code. By using the relation, we first discuss that a local complementation which has been used for a graph state can be useful for searching locally equivalent stabilizer codes, and second provide a method to find a stabilizer group of a graph code.
Keywords
Cite
@article{arxiv.1511.05647,
title = {On the relation between a graph code and a graph state},
author = {Yongsoo Hwang and Jun Heo},
journal= {arXiv preprint arXiv:1511.05647},
year = {2016}
}
Comments
accepted for publication in QIC