Posted by Bel on .
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

Quantum Physics 
Gina,
Helpppp

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

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Gyano,
I. Is wrong?

Quantum Physics 
none of your goddamn business,
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 ;) 
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Quantum Physics,
0,1,0,0
1,0,0,0
0,0,0,1
0,0,1,0 
Quantum Physics 
none of your goddamn business,
thanks.. got it. 2 entries were wrong in mine. thanks a ton.. 100 % in the midterm. YAAAAAY !!!

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Gyano,
matrix is wrong??

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Anonymous,
How about No 9a? What is the probability?

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lana,
problem 8? pleaseee