A method for performing a data search includes initializing a collection of qubits by generating a superposition of quantum states in of the qubits, inverting the sign of a target quantum state, and calculating an inversion about the average for each qubit using one-bit unitary gates and two-bit quantum phase gates. The method further include iterating the inverting and calculating steps to determine a search result corresponding to the target quantum state according to Grover's algorithm.