Consider the following quantum circuit: (x> (A> 100> B> It consists of two CNOT gates in the middle of the circuit. The two-qubit input quantum register (:) is in some arbitrary quantum state that forms its input and can be set by the user. The other two-qubit input quantum register (00) is in the ground state. The gate F is an unknown quantum operation (this means it is an arbitrary, but fixed gate on two qubits, but you do not know what it does). The gate F-1 computes the inverse operation of F. 1. Analyse the operation of the circuit to determine what the values of the two three-qubit output quantum registers |4) and [ B) are, depending on the properties of F and |r). Clearly justify your answer. 2. Explain how you could, if possible, determine the operation of the gate F from this circuit (you can execute the circuit as many times as you wish). Furthermore, dis- cuss what this means for the difference between quantum computing and a classical computing paradigm of your choice (working with bits instead of qubits)