Abstract: A method is presented for use with a quantum circuit and a quantum register having a plurality of qubits. The method includes: sequentially calling, via a plurality of oracle gates of the quantum circuit, a quantum oracle operator on a plurality of qubit states to produce a sequence of quantum oracle calls; applying, via a plurality of diffusion gates of the quantum circuit, a plurality of diffusion operators, wherein a selected one or more of a plurality of diffusion operators is applied after each of the quantum oracle calls in the sequence of oracle calls; and generating a quantum computing result based on a measurement from the plurality of qubits, after having applied the sequence of oracle calls and the plurality of diffusion operators.

Abstract: The subject of the invention is a method and an apparatus for efficient data processing, using principles of Quantum Mechanics. A method of evolving a quantum register from an initial state ? to a desired final state ?yes of said register characterized by comprising of backtracking to the state computationally equivalent to initial state ? by mapping each and every unknown, undesirable final state ?not of the quantum register to the superposition or ensemble of orthogonal states in the computations space, when the projection measurement of a quantum register or parts of said register rendered it in the undesirable state ?not.