Systems and methods are provided for performing a quantum error correction. An error correction is performed on each of a plurality of qubit sets restore a desired basis state of the qubit set. Each qubit set corresponds to an associated logical qubit. A number of corrected qubits at each of the plurality of qubit sets are recorded. A first set of the plurality of logical qubits having a first state and a second set of the plurality of logical qubits having a second state are determined. One of the first set of logical qubits and the second set of logical qubits are corrected according to the recorded numbers of corrected qubits.