Abstract | ||
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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 Bierbrauer | 1 | 332 | 45.54 |
Daniele Bartoli | 2 | 71 | 23.04 |
Giorgio Faina | 3 | 46 | 12.41 |
Stefano Marcugini | 4 | 120 | 32.82 |
Fernanda Pambianco | 5 | 112 | 30.20 |
Yves Edel | 6 | 141 | 17.61 |