Title
The structure of quaternary quantum caps
Abstract
We give a geometric description of binary quantum stabilizer codes. In the case of distance $$d=4$$ this leads to the notion of a quaternary quantum cap. We describe several recursive constructions for quantum caps, determine the quantum caps in $$PG(3,4)$$ and the cardinalities of quantum caps in $$PG(4,4).$$
Year
DOI
Venue
2014
10.1007/s10623-013-9796-5
Designs, Codes and Cryptography
Keywords
DocType
Volume
Quantum cap,Quaternary code,Quantum stabilizer code,Symplectic geometry,Projective space,Trace,Hyperoval,Elliptic quadric,11T71,51E22,81P70
Journal
72
Issue
ISSN
Citations 
3
0925-1022
6
PageRank 
References 
Authors
0.74
5
6
Name
Order
Citations
PageRank
Jürgen Bierbrauer133245.54
Daniele Bartoli27123.04
Giorgio Faina34612.41
Stefano Marcugini412032.82
Fernanda Pambianco511230.20
Yves Edel614117.61