91Ó°ÊÓ

Show that the following quantum circuit prepares the Bell state $\mathbf{\left|}\mathbf{}\mathbf{Ψ}\mathbf{â\S ½}\mathbf{=}\frac{\mathbf{1}}{\sqrt{\mathbf{2}}}\mathbf{}\mathbf{\right|}\mathbf{00}\mathbf{â\S ½}\mathbf{+}\frac{\mathbf{}\mathbf{}\mathbf{1}}{\sqrt{\mathbf{2}}}\mathbf{}\mathbf{|}\mathbf{11}\mathbf{â\S ½}\mathbf{}$on input $\mathbf{|}\mathbf{00}\mathbf{âŸ\copyright }$: apply a Hadamard gate to the first qubit followed by a CNOT with the first qubit as the control and the second qubit as the target.

What does the circuit output on input 10 , 01 and 11 ? These are the rest of the Bell basis states.

What is the QFT modulo M of $\overline{)\mathbf{j}\mathbf{>}}$