Quantum Physics
posted by helpful on .
Consider the following quantum circuit:
bit.ly/Zlrijv
(a) What quantum state do you have to input in order to get output 00>?
(b) What quantum state do you have to input in order to get output 11>?
(c) What quantum state do you have to input in order to get output 1/√2(00>+11>)?

a) 1/sqrt(2) 0
0 1/sqrt(2) 
please (b) and (c)

b is:
0 1/sqrt(2)
1/sqrt(2) 0
what is the answer to 13? 
what's (c)

c please
the answer for 13 is c 
If the first qubit is in the state 2/sqrt(5)0>  1/sqrt(5)1> and the second qubit is in the state 1/sqrt(2)0>  i/sqrt(2)1>, what is the state of the composite system?

c)
1/2 1/2
1/2 1/2
Are you sure 13 is c? 
what is the answer for this:
Let ψ⟩=1−i20⟩−1+i21⟩ and ϕ⟩=2+i30⟩−2i31⟩. What is ⟨ψϕ⟩? 
please a answer for this:
What is the matrix (4x4) for ZX (Z applied on the first qubit and X applied on the second qubit)? 
Anyone please:
If the first qubit is in the state 2/sqrt(5)0>  1/sqrt(5)1> and the second qubit is in the state 1/sqrt(2)0>  i/sqrt(2)1>, what is the state of the composite system? 
2) LINE 1. 2/(sqrt(2)*sqrt(5) (2*i)/(sqrt(2)*sqrt(5))
LINE 2. 1/(sqrt(2)*sqrt(5))
i/(sqrt(2)*sqrt(5))
What is the matrix (4x4) for ZX (Z applied on the first qubit and X applied on the second qubit)? 
Let ψ⟩=1−i20⟩−1+i21⟩ and ϕ⟩=2+i30⟩−2i31⟩. What is ⟨ψϕ⟩?

ZX 4x4 matrix:
0100
1000
0001
0010 
ANSWERS TO QUESTIONS 1,9,14?

I calculated this for the Q1:
(2+i+i^2)/6
But is not OK! some suggestion? 
14d

thks !! 9a... some help?ยก

Yes 9A?

9b is 0.5
9a?????
and 1??? 
Q1 is (3+5*i)/6
Down to my last entry on 9A???anyone? 
IM in the same situation.. is not:
0.5
neither
0.25
Probably 1? 
9a is 1

thank you!!! its correct...

Arigato!

Grazie!!

number 1?

number 1? and 3?