Abstract: In order to improve the search ability of cuckoo search algorithm, by introducing the quantum computing mechanism into the classical cuckoo search algorithm, a quantum-inspired cuckoo search algorithm is proposed. In the proposed algorithm, the qubits are used to encode individuals, the Pauli matrixes are employed to determine rotation axis, the Levy flight principle is applied to obtain rotation angle, and the rotation of the qubits on the Bloch sphere is used to update the individuals. Aiming at the specific features of stratigraphic correlation of logging section and the constraint conditions that need to be satisfied, a scheme of applying quantum-inspired cuckoo algorithm to stratigraphic correlation is proposed. This method can not only compare the similarity between different strata, but also deal with the faults caused by faults or sharp extinction. The experimental results show that the algorithm is effective and feasible in complex geological conditions.

Key words: quantum-inspired optimization, cuckoo algorithm, logging curves, stratigraphic correlation