I read the paper A flexible representation of quantum images for polynomial preparation, image compression, and processing operations and found a scheme for 2x2 images which looks like this:

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I tried to extend this scheme for 4x4 images but can not clearly understand how to do it. I tried to do step-wise control from the 0 qubit to the 4-th, tried multiple controls from each qubit to 4-th but neither worked in my case.


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