Sound and fury signifying nothing
Putting the paper through translation, there are a lot of untested assumptions in the paper.
It appears to be an attempt to conduct some sort of quantum Linear Cryptanalysis in the style of Kasia Nyberg. It may have had some success on a small block size, but it will not really scale up to full size ciphers.
It's an interesting idea and presents the first real quantum cryptanalysis that isn't simply factoring large integers.