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

Stojanovic, Vladimir M. and Fedorov, A. and Wallraff, A. and Bruder, C.. (2012) Quantum-control approach to realizing a Toffoli gate in circuit QED. Physical review. B, Condensed matter and materials physics, Vol. 85, H. 5 , 054504.

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Official URL: http://edoc.unibas.ch/dok/A6070830

We study the realization of a Toffoli gate with superconducting qubits in a circuit-quantum-electrodynamics 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 noncomputational 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.