Asked by qwerty

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
Answered by helpman
b- 0 0
0 0
Answered by Bel
does anyone know the answer pls
Answered by Gina Gina Gina
rest of them plz
Answered by Arla
What is the matrix (4x4) for ZX (Z applied on the first qubit and X applied on the second qubit)?
Answered by Qwerty
I) 1/sqrt(2) -1/sqrt(2)
1/sqrt(2) 1/sqrt(2)
Answered by Gyano
answer for I and III pls ?
Answered by Sason
III) 1/sqrt(2) 1/sqrt(2)
-1/sqrt(2) 1/sqrt(2)
Answered by sss
ii is 0 0
0 0
Answered by Bab
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)|+>)?
Answered by Quantum Physics
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⟩?
Answered by Gyano
For HX (1/5|0>+3sqrt2/(5)|+>) the answer is:
7/(5*sqrt(2) |0> -1/(5*sqrt(2)) |1>
answer is wrong??
Answered by TIGER
Gyano -> is ok
Answered by Ama
Did anyone get this:

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?
Answered by Gyano
something must be wrong? kan you check again pls
Answered by Gyano
What quantum state do you have to input in order to get output 1/sqrt2(|0>+ |11>)?
Answered by Don
a) If |u>= |v> = |+ >, what is the probability that the measurement outcome is 0 ?
b) If |u> = |+ > and |v> = |-> , what is the probability that the measurement outcome is 0 ?
Answered by Gyano
Answer plssss

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?
Answered by ZZeta
The state of the composite system:
2/(sqrt(5)*sqrt(2)) in 00
2*i/(sqrt(5)*sqrt(2)) in 01
-1/(sqrt(5)*sqrt(2)) in 10
-i/(sqrt(5)*sqrt(2)) in 11

Can you help me with:
a) If |u>= |v> = |+ >, what is the probability that the measurement outcome is 0 ?
b) If |u> = |+ > and |v> = |-> , what is the probability that the measurement outcome is 0 ?
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