System and method of partial compilation with variational algorithms for quantum computers

A method for compiling and executing instructions on a quantum computer, the method is implemented using a classical processor in communication with a classical memory, the method comprising:

• receiving a circuit of gates representing a quantum program for a variational algorithm;
• identifying a plurality of blocks within the circuit of gates, each block of the plurality of blocks includes a subcircuit of gates from the circuit of gates, leaving one or more remainder subcircuits of the circuit of gates outside of the plurality of blocks;
• pre-compiling each block of the plurality of blocks with gradient ascent pulse engineering to generate a plurality of pre-compiled blocks, each pre-compiled block including control pulses configured to perform the associated block on a quantum processor;
• and
• iteratively executing the quantum program on the quantum processor using the pre-compiled blocks as static during runtime and recompiling the one or more remainder subcircuits on the classical processor at each iteration of execution.

A non-transitory computer-readable storage media having computer-executable instructions embodied thereon, wherein when executed by at least one classical processor, the computer-executable instructions cause the classical processor to:

• receive a circuit of gates representing a quantum program for a variational algorithm;
• identify a plurality of blocks within the circuit of gates, each block of the plurality of blocks includes a subcircuit of gates from the circuit of gates, leaving one or more remainder subcircuits of the circuit of gates outside of the plurality of blocks;
• pre-compile each block of the plurality of blocks with gradient ascent pulse engineering to generate a plurality of pre-compiled blocks, each pre-compiled block including control pulses configured to perform the associated block on a quantum processor;
• and
• iteratively execute the quantum program on the quantum processor using the pre-compiled blocks as static during runtime and recompiling the one or more remainder subcircuits on the classical processor at each iteration of execution.