Phase flip code with semiconductor spin qubits

Abstract The fault-tolerant operation of logical qubits is an important requirement for realizing a universal quantum computer. Spin based on dots have great potential to be scaled large numbers because their compatibility with standard semiconductor manufacturing. Here, we show that error correction code can implemented using four-qubit array in germanium. We demonstrate resonant SWAP gate and by combining controlled-Z controlled-S −1 gates construct Toffoli-like three-qubit gate. execute two-qubit phase flip find preserve the state data qubit applying refocusing pulse ancilla qubit. In addition, implement three qubits, making use final step. Both quality quantity will require significant improvement achieve fault-tolerance. However, capability codes enables co-design development hardware software, where tailored properties spin advances fabrication now come together advance technology.