Fast microwave-driven three-qubit gates for cavity-coupled superconducting qubits

Research paper by Edwin Barnes, Christian Arenz, Alexander Pitchford, Sophia E. Economou

Indexed on: 29 Dec '16Published on: 29 Dec '16Published in: arXiv - Physics - Mesoscopic Systems and Quantum Hall Effect


Although single and two-qubit gates are sufficient for universal quantum computation, single-shot three-qubit gates greatly simplify quantum error correction schemes and algorithms. We design fast, high-fidelity three-qubit entangling gates based on microwave pulses for transmon qubits coupled through a superconducting resonator. We show that when interqubit frequency differences are comparable to single-qubit anharmonicities, errors occur primarily through a single unwanted transition. This feature enables the design of fast three-qubit gates based on simple analytical pulse shapes that are engineered to minimize such errors. We show that a three-qubit ccz gate can be performed in 260 ns with fidelities exceeding $99.38\%$, or $99.99\%$ with numerical optimization.