a question about quantum walks, would this circuit be correct to start a quantum walk in a hypercube? I saw something about increment and decrement, but I didn't quite understand how they would work in a quantum walk (Image 1)

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In addition to this circuit, would you recommend any articles related to the walks, whether in hypercubes or singular graphs or not? The theory I managed to understand, my problem is to pass the theory to a circuit, I'm a beginner and I would like to understand more how quantum walks would work in a quantum processor. Would there also be a way to plot the probability density graph of the quantum walks that were plotted on a computer? Is there any help material? Or the graph plotted by IBM computers would already be useful for this demonstration, it's just that I noticed that they are not very similar to those plotted in comparison of quantum and classical walks.... I would like to understand this better, thanks in advance!



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