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A quantum image and scrambling technology, which is applied in image data processing, image data processing, instruments, etc., can solve problems such as unresolved rectangular image scrambling, and achieve a wide range of effects
Active Publication Date: 2019-11-19
GUANGXI NORMAL UNIV
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Problems solved by technology
The existing quantum image scrambling method realizes the scrambling of square images, which cannot solve the scrambling of rectangular images, and cannot efficiently realize the scrambling of color images and grayscale images at the same time
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Embodiment 1
[0137] An 8×8 quantum grayscale image image
[0138] Step 1: First, use the quantum image expression of GNEQR to store a classical image as a quantum image. The specific operation is as follows:
[0139]
[0140] Step 2: Use module N 1 and N 2 Implement coordinate scrambling of square images, module N 1 and N 2 is made by the module combined with n NOT gates, where k represents the kth division of the image. Its function is to realize k-1 scrambling operations on the sub-blocks, and finally perform a rotation operation on the entire image. The specific process is as follows:
[0141] Construct unitary matrix U 0 ,U 1 :
[0142]
[0143] in is the tensor operation symbol, I is the identity matrix, is to perform 7 tensor operations on the identity matrix I.
[0144] Coordinate scrambling using qubit controlled gates
[0145]
[0146] Among them, U 0 ,U 1 is 2 n ×2 n unitary matrix of . and is a controlled quantum gate, and for a specific descript...
Embodiment 2
[0163] An 8×16 quantum grayscale image image
[0164] Step 1: First, use the quantum image expression of GNEQR to store a classical image as a quantum image. The specific operation is as follows:
[0165]
[0166] Step 2: Use module P 1 and P 2 Implement coordinate scrambling of rectangular images, module P 1 and P 2 is made by the module It is combined with n NOT gates; among them, k represents the kth block of the image. Its function is to realize k-1 scrambling operations on the sub-blocks, and finally perform a rotation operation on the entire image. The specific process is as follows:
[0167] Construct unitary matrix U 0 ,U 1
[0168]
[0169] in is the tensor operation symbol, I is the identity matrix, is to perform 7 tensor operations on the identity matrix I.
[0170] Coordinate scrambling using qubit controlled gates
[0171]
[0172] Among them, U 0 ,U 1 is 2 n ×2 n unitary matrix of and is a controlled quantum gate, for the specific...
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Abstract
The invention discloses a quantum image scrambling method based on GNEQR. The quantum image scrambling method comprises the steps of storing a classic image as a quantum image through a quantum imageexpression of GNEQR; utilizing a quantum bit controlled gate to carry out first part coordinate scrambling on the quantum image so as to change coordinate information of the original quantum image, and rearranging pixel positions in the original quantum image; performing bit plane scrambling operation to scramble the pixel information of the quantum image after the first part of coordinate scrambling; and performing second part of coordinate scrambling on the quantum image by utilizing the quantum bit controlled gate so as to change the coordinate information of the quantum image after bit plane scrambling, and rearranging the pixel positions of the quantum image after bit plane scrambling. According to the method, the problem of image scrambling of the rectangular image is solved. The GNEQR quantum image representation method is applied. Only n + 8 quantum bits are needed to represent a gray level image with the size of 2k * 2n-k. n+10 quantum bits are used to represent color images with the same size.
Description
technical field [0001] The present invention relates to the field of image encryption and information security, in particular to a quantum image scrambling method based on GNEQR (Generalized Novel Enhanced Quantum Image Representation). Background technique [0002] Quantum image is a research field combining quantum computing and classical image. A classical image can be transformed into a quantum image suitable for quantum computing through the principle of superposition of quantum states. The parallelism and superposition of quantum computing are fundamental to the superiority of quantum image scrambling over classical image scrambling. [0003] In quantum computing, the qubit is the basic unit for storing messages. A single qubit has two linearly independent ground states, represented by the symbols |0> and |1> respectively. Indicates the quantum superposition state, |ψ>=a|0>+b|1>, where a and b are two complex numbers. [0004] The tensor product can re...
Claims
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