The controlled-not operator has a central role in quantum computation. Consider a CNOT gate controlled on the first qubit with the second qubit as the target. One way to express this operation is CNOT = 10 0| 1+ 1)1| 0 X . That is, CNOT flips the target qubit only if the control qubit is set to (1). Compute explicitly the matrix representation of CNOT. Then verify that CNOT |00) = 100) CNOT |01) = 101) CNOT |10) = [11) CNOT |11) = (10) , where 00) = = OOOH etc