A quantum image scrambling method based on gneqr
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
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Embodiment 1
[0137] An 8×8 quantum grayscale 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 description, r...
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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