Quantum-control approach to realizing a Toffoli gate in circuit QED

Details Quantum-control approach to realizing a Toffoli gate in circuit QED Quantum-control approach to realizing a Toffoli gate in circuit QED

2011-08-17

arxiv.org/abs/1108.3442v2

Phys. Rev. B 85, 054504 (2012)

Physics

Quantum Physics

accepted for publication in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.85.054504

We study the realization of a Toffoli gate with superconducting qubits in a circuit-QED setup using quantum-control methods. Starting with optimized piecewise-constant control fields acting on all qubits and typical strengths of XY-type coupling between the qubits, we demonstrate that the optimal gate fidelities are affected only slightly by a "low-pass" filtering of these fields with the typical cutoff frequencies of microwave driving. Restricting ourselves to the range of control-field amplitudes for which the leakage to the non-computational states of a physical qubit is heavily suppressed, we theoretically predict that in the absence of decoherence and leakage, within 75 ns a Toffoli gate can be realized with intrinsic fidelities higher than 90%, while fidelities above 99% can be reached in about 140 ns.

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