# Quantum Physics

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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>)?

• Quantum Physics -

a) 1/sqrt(2) 0
0 1/sqrt(2)

• Quantum Physics -

• Quantum Physics -

b is:

0 1/sqrt(2)
-1/sqrt(2) 0

what is the answer to 13?

• Quantum Physics -

what's (c)

• Quantum Physics -

the answer for 13 is c

• Quantum Physics -

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?

• Quantum Physics -

c)
1/2 1/2
-1/2 1/2

Are you sure 13 is c?

• Quantum Physics -

what is the answer for this:
Let |ψ⟩=1−i2|0⟩−1+i2|1⟩ and |ϕ⟩=2+i3|0⟩−2i3|1⟩. What is ⟨ψ|ϕ⟩?

• Quantum Physics -

What is the matrix (4x4) for ZX (Z applied on the first qubit and X applied on the second qubit)?

• Quantum Physics -

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?

• Quantum Physics -

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)?

• Quantum Physics -

Let |ψ⟩=1−i2|0⟩−1+i2|1⟩ and |ϕ⟩=2+i3|0⟩−2i3|1⟩. What is ⟨ψ|ϕ⟩?

• Quantum Physics -

ZX 4x4 matrix:
0100
1000
000-1
00-10

• Quantum Physics -

• Quantum Physics -

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

• Quantum Physics -

14d

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thks !! 9a... some help?¡

• Quantum Physics -

Yes 9A?

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9b is 0.5
9a?????
and 1???

• Quantum Physics -

Q1 is (3+5*i)/6

Down to my last entry on 9A???anyone?

• Quantum Physics -

IM in the same situation.. is not:
0.5
neither
0.25
Probably 1?

• Quantum Physics -

9a is 1

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thank you!!! its correct...

• Quantum Physics -

Arigato!

• Quantum Physics -

Grazie!!

• Quantum Physics -

number 1?

• Quantum Physics -

number 1? and 3?

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