We give a geometric interpretation of additive quantum stabilizer codes in terms of sets of lines in binary symplectic space. It is used to obtain synthetic geometric constructions and non-existence results. In particular several open problems are removed from Grassl’s database.
The geometry of quantum codes
FAINA, Giorgio;GIULIETTI, Massimo;MARCUGINI, Stefano;PAMBIANCO, Fernanda
2008
Abstract
We give a geometric interpretation of additive quantum stabilizer codes in terms of sets of lines in binary symplectic space. It is used to obtain synthetic geometric constructions and non-existence results. In particular several open problems are removed from Grassl’s database.File in questo prodotto:
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