Paper Info
Title
On Quantum Stabilizer Codes derived from Local Frobenius Rings.
Abstract
In this paper we consider stabilizer codes over local Frobenius rings. Firstly, we study the relative minimum distances of a stabilizer code and its reduction onto the residue field. We show that for various scenarios, a free stabilizer code over the ring does not underperform the according stabilizer code over the field. This leads us to conjecture that the same is true for all free stabilizer codes. Secondly, we focus on the isometries of stabilizer codes. We present some preliminary results and introduce some interesting open problems.
Year
DOI
Venue
2017
10.1016/j.ffa.2019.04.004
Finite Fields and Their Applications
Keywords
Field
DocType
94B05,16P10,16L60
Discrete mathematics,Quantum,Stabilizer code,Algebra,Residue field,Pure mathematics,Isometry,Conjecture,Mathematics
Journal
Volume
ISSN
Citations 
58
1071-5797
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Heide Gluesing-Luerssen16912.81
Tefjol Pllaha202.37