scholarly journals Stabilizer codes over Frobenius rings

2012 ◽  
Author(s):  
Sushma Nadella ◽  
Andreas Klappenecker
Keyword(s):  
Stabilizer Codes ◽  
Frobenius Rings

scholarly journals New bounds for codes over finite Frobenius rings

2010 ◽  
Vol 57 (2) ◽  
pp. 169-179 ◽  
Author(s):  
Eimear Byrne ◽  
Marcus Greferath ◽  
Axel Kohnert ◽  
Vitaly Skachek
Keyword(s):  
Frobenius Rings ◽  
Finite Frobenius Rings

scholarly journals On the relation between a graph code and a graph state

2016 ◽  
Vol 16 (3&4) ◽  
pp. 237-250
Author(s):  
Yongsoo Hwang ◽  
Jun Heo
Keyword(s):  
Simple Graph ◽  
Graph State ◽  
Stabilizer Codes ◽  
Logical Qubits ◽  
Related Graph ◽  
Local Complementation ◽  
Stabilizer Group

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.

scholarly journals Recoverable information and emergent conservation laws in fracton stabilizer codes

2018 ◽  
Vol 97 (13) ◽  
Author(s):  
A. T. Schmitz ◽  
Han Ma ◽  
Rahul M. Nandkishore ◽  
S. A. Parameswaran
Keyword(s):  
Conservation Laws ◽  
Stabilizer Codes
Sign in / Sign up

Export Citation Format

Share Document