Suppose that a quantum state $|\psi\rangle$ in question is $|\psi\rangle \propto \sum_x |x\rangle|f(x)\rangle$.
I want to implement a quantum swap operation such that computational basis $|x\rangle|f(x)\rangle$ becomes $|x\rangle|f(x+1)\rangle$. That is, $|x\rangle|f(x)\rangle \to |x\rangle|f(x+1)\rangle$. This seems to be just about a series of basis swaps, but I am not so sure about this. Can we implement this as a quantum circuit? (For the greatest $x$, $x+1$ is considered to be zero.)