The structure of quaternary quantum caps
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 \(PG(4,4).\)
quantum cap quantum stabilizer code quaternary code symplectic geometry projective space trace hyperoval elliptic quadric 11t71 51e22 81p70