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ON THE RELATION BETWEEN A GRAPH CODE AND A GRAPH STATE
- Authors
- Hwang, Yongsoo; Heo, Jun
- Issue Date
- 3월-2016
- Publisher
- RINTON PRESS, INC
- Keywords
- graph code; graph state; local complementation; stabilizer formalism
- Citation
- QUANTUM INFORMATION & COMPUTATION, v.16, no.3-4, pp.237 - 250
- Indexed
- SCIE
SCOPUS
- Journal Title
- QUANTUM INFORMATION & COMPUTATION
- Volume
- 16
- Number
- 3-4
- Start Page
- 237
- End Page
- 250
- ISSN
- 1533-7146
- 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.
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