Amplitude, frequency, and phase modulated entangling gates for ion trap quantum computers

A method of performing a computation using an ion trap quantum computer includes computing a detuning frequency function and an amplitude function of a laser pulse to cause entangling interaction between a pair of trapped ions of a plurality of trapped ions, each of the plurality of trapped ions having two frequency-separated states defining a qubit, splining the computed detuning frequency function of the laser pulse, modifying the computed amplitude function of the laser pulse based on the splined detuning frequency function, and applying a modified laser pulse having the splined detuning frequency function and the modified amplitude function to each trapped ion in the pair of trapped ions.