We discuss a simple architecture for a quantum toffoli gate implemented using three trapped ions. The gate, which, in principle, can be implemented with a single laser-induced operation, is effective under rather general conditions and is strikingly robust (within any experimentally realistic range of values) against dephasing, heating, and random fluctuations of the Hamiltonian parameters. We provide a full characterization of the unitary and noise-affected gate using three-qubit quantum process tomography.
Borrelli, M., Mazzola, L., Paternostro, M., & Maniscalco, S. (2011). Simple trapped-ion architecture for high-fidelity Toffoli gates. Physical Review A, 84(1), . https://doi.org/10.1103/PhysRevA.84.012314