Quantum adaptive median filtering based on dual qubits state measurement

To further enhance the image detail protection ability, improve the algorithm real-time in the de-noising process, a quantum adaptive median filtering algorithm based on dual qubits state measurement was proposed. The algorithm firstly transformed the image pixel to quantum superposition state form; secondly, the quantum superposition state was measured based on quantum measurement theory; finally, output image was designed based on the measurement collapsing state. Expanding the traditional correspondence relationship between single pixel and single qubit state, the algorithm used dual qubits state to represent a single pixel. Dual qubits state has four superposition states so that it contains more information on the represented pixels and processes these pixels more accurately. Probability density of the dual qubits state was designed based on the noise characteristics, and the collapse states will adaptively increase the filtering window's size. Experiments show that the quantum adaptive median filtering algorithm has a better integrated filtering capability compared with median filtering and classical adaptive median filtering. The algorithm can remove the noise effectively, protect the detail well and has good real-time.