Standard Forms of Stabilizer and Normalizer Matrices for Additive Quantum Codes
Ruihu Li, Zongben Xu, Xueliang Li · IEEE Transactions on Information Theory · 2008
In this correspondence, we use a symplectic geometry over the binary field to discuss the equivalence of additive codes over the quaternary field and the equivalence of additive quantum codes. We establish the existence of a standard form of the stabilizer and the normalizer matrices for additive quantum codes. Thus, we present the quantum analogue of standard forms of generator and parity check matrices for systematic linear codes in classical coding theory for additive quantum codes.