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The three-qubit Toffoli gate plays an important role in quantum errorcorrection and complex quantum algorithms such as Shor's factoring algorithm,motivating the search for efficient implementations of this gate. Here weintroduce a Toffoli gate suitable for exchange-coupled electron spin qubits insilicon quantum dot arrays. Our protocol is a natural extension of a previouslydemonstrated resonantly driven CNOT gate for silicon spin qubits. It is basedon a single exchange pulse combined with a resonant microwave drive, with anoperation time on the order of 100 ns and fidelity exceeding 99%. We analyzethe impact of calibration errors and 1/f noise on the gate fidelity and comparethe gate performance to Toffoli gates synthesized from two-qubit gates. Ourapproach is readily generalized to other controlled three-qubit gates such asthe Deutsch and Fredkin gates.

Protocol for a resonantly-driven three-qubit Toffoli gate with silicon spin qubits