Fast Geometric Transformations on Quantum Images

Shi-Ping He, Jin-Chuan Yang, Ming-Qiang Bai +4 more

Phuc Q. Le, Abdullah M. Iliyasu, Fangyan Dong +1 more

Vyacheslav F. Guzik, S.M. Gushansky, Viktor Potapov

The article discusses the theory of quantum image processing and quantum image manipulation (fast geometric transformations, including the flip, orthogonal rotations and limited geometric transformations). In this work we have investigated the area of quantum image processing and have tested the FPQI model. Models (developed in the work and others) were investigated by explicitly modeling quantum behavior on a large quantum system. A basic scheme for encoding 2×2 image has been created to gain a clearer understanding of the mechanics of quantum image models.

Phuc Q. Le, Abdullah M. Iliyasu, Fangyan Dong

Circuits to achieve geometric trans- formations including two-point swapping, flip, co- ordinate swapping, orthogonal rotations and their variants on N -sized quantum images are proposed based on the basic quantum gates; NOT, CNOT and Toffoli gates. The complexity of the circuits is O(log 2 N) for two-point swapping and O(logN) for flip, co-ordinate swapping and orthogonal rotations. The results indicate that local operations like two- point swapping are slower than global operations like flip, co-ordinate swapping, and orthogonal rotations in quantum image processing. This is in contrast to performing such operations in classical image process- ing where the local operations are faster. All the proposed transformations are confirmed by simula- tion on a classical computer. With their low com- plexity, these geometric transformations can be used as the major components to build circuits for other applications on quantum images.

Zhixin Zhang, Xianhua Song, Ahmed A. Abd El‐Latif +2 more

To achieve a certain desired visual effect, the pixel positions of the input image are mapped to positions different from the original ones so as to change the display effect of the original image. This process is called the geometric transformation of the image. Geometric transformations mainly include geometric correction of the image and spatial transformations (scaling transformation, rotation, and affine transformation) [ 1 – 26 ] . This chapter proposes the geometric transformations of the QIRHSI quantum color image, including basic geometric transformations and scaling operations, and further studies the unitary operators of geometric transformations and the corresponding quantum circuits.

カン フック レー, unknown, unknown, ILIYASU ABDULLAHI +3 more