Quantum LDPC codes obtained by non-binary constructions
Iryna Andriyanova, Denise Maurice, Jean–Pierre Tillich · 2012
We generalize a construction of non-binary quantum LDPC codes over F2mdue to [KHIK11] and apply it in particular to toric codes. We obtain in this way not only codes with better rates than toric codes but also improve dramatically the performance of standard iterative decoding. Moreover, the new codes obtained in this fashion inherit the distance properties of the underlying toric codes and have therefore a minimum distance which grows as the square root of the length of the code for fixed m.