Abstract: A quantum computer program may receive a mean, a standard deviation, and a discretization for a target normal distribution; determine a number of iterations t based on the mean and standard deviation; identify a value n from the discretization and value X0 from the mean; initialize n qubits in register q and an ancilla; apply a quantum Fourier transform and a +X0 gate to q; apply a Y-Rotation with angle ?/2 to the ancilla; apply a controlled +1 gate to q controlled by the ancilla; apply a Hadamard gate to the ancilla; measure the ancilla; set a value C to a value of the measured ancilla; repeat from the Y-Rotation t times; apply an inverse quantum Fourier transform to q; and output amplitudes of basis states of q as the normal distribution. The program may use qubit-scaling to reduce the number of iterations needed.