Entanglement-assisted nonbinary quantum LDPC codes with finite field method
Based on quantum stabilizer formalism over multi-level quantum system, non-binary entanglement-assisted quantum coding theory was described in this paper. Then two classes of 2r-ary quantum quasi-cyclic LDPC codes were constructed by using algebraic finite field method over Fq with q = 2r. By iteratively decoded with q-ary sum-product algorithm (QSPA), the constructed 2r-ary quantum LDPC codes have shown significantly better performances than the present binary quantum LDPC codes.