Design and implementation method of quantum image edge detection based on Sobel operator
A quantum image and edge detection technology, applied in image analysis, image data processing, computing, etc., can solve the problem of high complexity of image edge detection
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[0074] The present invention will be further described below in conjunction with embodiment.
[0075] For a piece of 2 5 ×2 5 The grayscale image of , its NEQR representation is:
[0076]
[0077] Then substitute n=5, q=8 into the following three steps: establish 9 quantum image sets, calculate the image gradient value and threshold calculation with the quantum black box, and finally get the edge of the image, and its quantum realization circuit is as follows Figure 20 shown. The specific implementation steps are as follows:
[0078] Step 1: First, quantize the digital image into the NEQR quantum image shown. To store this quantum image, an 18-qubit register is required. At the same time, 8 additional qubit sequences are needed, as defined by formula (12), to store the information of the pixel obtained after shifting.
[0079]
[0080] Step 2: Use C(x+), C(x-), C(y+), C(y-) four shift operations and quantum copy operation U s The 9 pixel sets of the quantum image...
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