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In an ion trap quantum computer, collective motional modes are used toentangle two or more qubits in order to execute multi-qubit logical gates. Anyresidual entanglement between the internal and motional states of the ionsresults in loss of fidelity, especially when there are many spectator ions inthe crystal. We propose using a frequency-modulated (FM) driving force tominimize such errors. In simulation, we obtained an optimized FM two-qubit gatethat can suppress errors to less than 0.01\% and is robust against frequencydrifts over $\pm$1 kHz. Experimentally, we have obtained a two-qubit gatefidelity of $98.3(4)\%$, a state-of-the-art result for two-qubit gates with 5ions.

Robust two-qubit gates in a linear ion crystal using a frequency-modulated driving force