Amplitude, frequency, and phase modulated simultaneous entangling gates for trapped-ion quantum computers

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

• generate a plurality of laser pulses used to be individually applied to each of a plurality of trapped ions that are aligned in a first direction, each of the trapped ions having two frequency-separated states defining a qubit, wherein generating the plurality of laser pulses comprises:
• adjusting an amplitude value and a detuning frequency value of each of the plurality of laser pulses based on values of pair-wise entanglement interaction in the plurality of trapped ions that is to be caused by the plurality of laser pulses;
• and
• apply the generated plurality of laser pulses to the plurality of trapped ions to perform simultaneous pair-wise entangling gate operations on the plurality of trapped ions.

A quantum computing system, comprising:

• a plurality of trapped ions that are aligned in a first direction, 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:
• generating a plurality of laser pulses used to be individually applied to each of the plurality of trapped ions, wherein generating the plurality of laser pulses comprises:
• adjusting an amplitude value and a detuning frequency value of each of the plurality of laser pulses based on values of pair-wise entanglement interaction in the plurality of trapped ions that is to be caused by the plurality of laser pulses;
• and
• applying the generated plurality of laser pulses to the plurality of trapped ions to perform simultaneous pair-wise entangling gate operations on the plurality of trapped ions.