Assignment 2    Due Monday October 16, in class.

(a) Find the matrix representation of the following two-qubit quantum gate, where A is any one-qubit gate. Use the standard basis, {<00|, <01|, <10|, <11|}. Prove your result.



(b) Repeat for the following two-qubit quantum gate:





(c) Show that the following circuit is equivalent to a CNOT gate, where V is the π/2 phase gate,
     1  0

     0  i