1. Toffoli gates. (/30) The 3-Cbit controlled-controlled-NOT gate Tijk (also called the Toffoli gate, after its inventor) plays a very important role in the classical theory of reversible computation. It has two control bits (i and j) and a target bit k, and is defined to act as the identity unless both control bits are 1, in which case it acts as NOT on the target bit. Find the 8 x 8 matrices in the set of 3-Cbit states (22)21) 20) of T210, T201, and T102. 1. Toffoli gates. (/30) The 3-Cbit controlled-controlled-NOT gate Tijk (also called the Toffoli gate, after its inventor) plays a very important role in the classical theory of reversible computation. It has two control bits (i and j) and a target bit k, and is defined to act as the identity unless both control bits are 1, in which case it acts as NOT on the target bit. Find the 8 x 8 matrices in the set of 3-Cbit states (22)21) 20) of T210, T201, and T102