Quantum Physics
posted by Bel .
I.Provide a unitary that maps +> to 1> and > to 0> . Enter 0 in all boxes if no such unitary exists. (In this case, you have to enter 0 explicitly. Blanks are not accepted.)
a b
c d
II.Provide a unitary that maps cos (30) 0> + sin (30) 1> to cos(15) 0> + sin(15) 1> and cos(5) 0> + sin(5) 1> to cos(40) 0> + sin(40) 1> . Enter 0 in all boxes if no such unitary exists.
a b
c d

Helpppp

1/sqrt(2) 1/sqrt(2)
1/sqrt(2) 1/sqrt(2) 
Thanks helper, any answer for the second? Thanks

I. Is wrong?

I have got all the rest of the answers correct.. this I couldn't muster.
What is the matrix for Z⊗X (Z applied on the first qubit and X applied on the second qubit)? provide directions, hints, solution ;) 
0,1,0,0
1,0,0,0
0,0,0,1
0,0,1,0 
thanks.. got it. 2 entries were wrong in mine. thanks a ton.. 100 % in the midterm. YAAAAAY !!!

matrix is wrong??

How about No 9a? What is the probability?

problem 8? pleaseee