Fast Stabilizer Quantum Codes Using Pauli Block Matrices

摘要

Based on the fast block transform of Pauli matrices, we show how Pauli block matrix can simplify the coding theory of quantum error-correction. These SQCs are generated from some abelian subgroups of Pauli group that are composed of different rows of the yielded Pauli block matrix, and hence have advantages of being fast constructed with asymptotically good behaviors.