We give a geometric description of binary quantum stabilizer codes. In the case of distance d=4 this leads to the notion of a quantum cap. We describe several recursive constructions for quantum caps and construct in particular quantum 36-and 38-caps in PG(4,4). This yields quantum codes with new parameters [[36,26,4]] and [[38,28,4]].
Geometric Constructions of quantum codes
BARTOLI, DANIELE;MARCUGINI, Stefano;PAMBIANCO, Fernanda
2010
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 quantum cap. We describe several recursive constructions for quantum caps and construct in particular quantum 36-and 38-caps in PG(4,4). This yields quantum codes with new parameters [[36,26,4]] and [[38,28,4]].File in questo prodotto:
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