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

A non-transitory computer-readable medium including computer program instructions, which when executed by a processor, cause the processor to:

• compute 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;
• spline 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
• apply a modified laser pulse having the splined detuning frequency function and the modified amplitude function to each ion in the pair of trapped ions.

A quantum computing system, comprising:

• a plurality of trapped ions, each of the trapped ions having two hyperfine states defining a qubit;
• and
• a controller comprising non-volatile memory having a number of instructions stored therein which, when executed by a processor, causes the quantum computing system to perform operations comprising:
• 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;
• 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 ion in the pair of trapped ions.