A first iterative Grover Search process is performed by causing at least one quantum computer to perform a first series of Grover Searches according to a characteristic function for varying numbers of iterations to identify a first search target. The characteristic function is modified according to the identified first search target. A second iterative Grover Search process is performed by causing the at least one quantum computer to perform a second series of Grover Searches according to the modified characteristic function beginning with a number of iterations determined based on a number of iterations required for at least one prior iterative Grover Search process to identify a second search target.