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I am fascinated by such a quantum structure as above, how should the regular distribution for Toffoli and SWAP gates be described by the formula? Is the following correct? $\prod\limits_{n}{{{I}_{{{2}^{i-1}}}}\otimes SWAP\otimes {{I}_{{{2}^{n-i}}}}}?$ $\prod\limits_{n}{{{I}_{{{2}^{i-1}}}}\otimes Toffoli\otimes {{I}_{{{2}^{n-i}}}}}?$

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  • $\begingroup$ Is there a better way? $\endgroup$
    – R-X Zhao
    Oct 9, 2022 at 5:53

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