I) Provide a unitary that maps |+> to |1> and |-> to |0> . Enter 0 in all boxes if no such unitary exists.
a b
c d
II)Provide a unitary that maps |+> to |0> and |-> to |+> . Enter 0 in all boxes if no such unitary exists.
a b
c d
III)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
b- 0 0
0 0
does anyone know the answer pls
rest of them plz
What is the matrix (4x4) for ZX (Z applied on the first qubit and X applied on the second qubit)?
I) 1/sqrt(2) -1/sqrt(2)
1/sqrt(2) 1/sqrt(2)
answer for I and III pls ?
III) 1/sqrt(2) 1/sqrt(2)
-1/sqrt(2) 1/sqrt(2)
ii is 0 0
0 0
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?
What is HX (1/5|0>+3sqrt2/(5)|+>)?
For HX (1/5|0>+3sqrt2/(5)|+>) the answer is:
7/(5*sqrt(2) |0> -1/(5*sqrt(2)) |1>
Does anyone have the answer for this one?
Let |ø⟩=1−i2|0⟩−1+i2|1⟩ and |ϕ⟩=2+i3|0⟩−2i3|1⟩. What is ⟨ø|ϕ⟩?