Fig. 1

Summary of our constructions. Using two extra qubits, one can apply fault tolerantly either encoded CNOT and Hadamard gates or the full Clifford group. Four extra qubits are enough for fault-tolerant universal computation

Summary of our constructions. Using two extra qubits, one can apply fault tolerantly either encoded CNOT and Hadamard gates or the full Clifford group. Four extra qubits are enough for fault-tolerant universal computation