The geometry of quantum codes

Jürgen Bierbrauer, Giorgio Faina, Massimo Giulietti, Stefano Marcugini, Fernanda Pambianco · Innovations in incidence geometry · 2008

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 [13].

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