Stabilizer Code

A stabilizer code on qubits is a quantum error-correcting code that is the common eigenspace of an Abelian group contained in the -qubit Pauli group, with . The group is the quantum stabilizer group of the code.

If has independent generators, the code encodes logical qubits and has dimension . Error detection and correction can be studied through commutation with the stabilizer generators and the Knill-Laflamme conditions.