Cyclic shift operator
= Cyclic shift operator
On a basis indexed by $\mathbb Z_N$, a cyclic shift operator has the form $U(a)|b\rangle=|a+b\bmod N\rangle$. The <quantum Fourier transform> simultaneously diagonalizes all such shifts.
= Cyclic shift operator
On a basis indexed by $\mathbb Z_N$, a cyclic shift operator has the form $U(a)|b\rangle=|a+b\bmod N\rangle$. The <quantum Fourier transform> simultaneously diagonalizes all such shifts.