Question: Design quantum circuit implementation of the 4-bit input Popcount function, one for each bit of output i.e., if the input is XX (a 4-bit input)

Design quantum circuit implementation of the 4-bit input Popcount function, one for each bit of output i.e., if the input is XX (a 4-bit input) and Popcount(X)Popcount(X) = Y3Y2Y1Y3Y2Y1then there should be one circuit for every YjYjimplementing this mapping X,0,0eij(X)X,Yj(X),0X,0,0eij(X)X,Yj(X),0where S is scratch qubit.

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