Steane code

The Steane Code is a perfect CSS code. It uses the classical binary [7,4,3] Hamming code to correct for qubit flip errors (X errors) and the dual of the Hamming code, the [7,3,3] code, to correct for phase flip errors (Z errors). The Steane code is able to correct arbitrary single qubit errors. In the stabilizer formalism, the Steane code has 6 generators, and the check matrix in standard form is {{H, 0}, {0, H}} where H is the parity check matrix of the Hamming code.