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We study the speed/fidelity trade-off for a two-qubit phase gate implementedin $^{43}$Ca$^+$ hyperfine trapped-ion qubits. We characterize various errorsources contributing to the measured fidelity, allowing us to account forerrors due to single-qubit state preparation, rotation and measurement (each atthe $\sim0.1\%$ level), and to identify the leading sources of error in thetwo-qubit entangling operation. We achieve gate fidelities ranging between$97.1(2)\%$ (for a gate time $t_g=3.8\mu$s) and $99.9(1)\%$ (for$t_g=100\mu$s), representing respectively the fastest and lowest-errortwo-qubit gates reported between trapped-ion qubits by nearly an order ofmagnitude in each case.

High-fidelity two-qubit quantum logic gates using trapped calcium-43 ions