Quantum Image Processing Technology And The Corresponding Reversible Logic Circuit Design

Quantum image processing, as a new research field, from the initial quantum quantum image representation, quantum image transform, quantum image store and retrieval to the later quantum image scrambling, quantum image watermarking and encryption, etc., all of these show the great research value and vitality. The research on quantum image processing technology will be preparing for the future quantum computer technology in theory and method. It is the expansion of quantum computation theory in the field of image processing,and it makes great significance to the perfection of theory and application of quantum computation.Based on the study of quantum image processing, this article aims at three different quantum images: quantum multidimensional color image, quantum gray image and quantum binary image, proposes different algorithms and circuits, which will open up a new perspective for research on quantum image processing. The research contents of this paper are:1, Quantum multidimensional color image similarity comparisonImage similarity comparison is always an important part in classic image processing, but in the quantum image processing field, except for some simple translation, transformation,scale, and so on, advanced quantum image processing algorithm is rarely proposed. In view of this, we take two quantum multidimensional color images as the research object, and divided into: quantum multidimensional color images with the segmentation information and without segmentation information, and proposed the algorithm and scheme of solving the similarity of the two quantum multidimensional images. This scheme is conducted in three procedures:image connection, Hadamard transform, and the final quantum measurement to calculate the similarity value, which will enrich the advanced quantum image processing research development.2, Study on quantum gray scale image scrambling algorithmAt present, most of the quantum image scrambling algorithms belong to quantum image scrambling based on position space, such as quantum image Hilbert scrambling, quantum image Arnold and Fibonacci scrambling. These methods need a large number of quantum gates when the quantum image size is large, quantum circuit operation cost will also increase sharply because of quantum image position transformation. All of these bring great difficulties to quantum image processing. Therefore, in order to expand the study of quantum imagescrambling technology, to design faster and better quantum image scrambling algorithm, we propose three different scrambling scheme for quantum gray-scale image based on NEQR representation according to the Gray code and image bit plane knowledge: first, the basic quantum image Gray code and bit plane scrambling; second, the fast quantum image Gray code and bit plane scrambling; third, quantum image Gray code and bit plane scrambling combined with position information. These schemes belong to the image color space scrambling, the quantum operation cost is greatly reduced, and the scrambling effect is very well.3, Quantum binary image morphological operationIn the field of quantum image, the research of morphological operation is still at an initial stage. In order to apply the strong morphological operation to the quantum image, in this article, we propose two kinds of basic quantum binary image morphological operations,i.e., expansion and erosion operations, and design corresponding circuit and give the Matlab experiment simulation diagram.