Posted by **qwerty** on Monday, March 11, 2013 at 11:15pm.

Suppose we are given a single qubit which is either in the state |u> = cos(pi/8) |0> + sin(pi/8) |1> or |v> = cos(3pi/8) |0> + sin(3pi/8) |1>. We measure this qubit in the standard basis and guess u if the outcome is 0 and guess v if the outcome is 1.

(a) What is the probability that you guess right?

(b) Is there a measurement which is correct more often?

Yes

No

- Quantum Physics -
**helpman**, Wednesday, March 13, 2013 at 9:56am
b- no

- Quantum Physics -
**willie wonka**, Thursday, March 14, 2013 at 2:03pm
a) 0.853

- Quantum Physics -
**Any**, Thursday, March 14, 2013 at 4:55pm
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⟩ ?

- Quantum Physics -
**Tuma**, Thursday, March 14, 2013 at 5:10pm
(c) What quantum state do you have to input in order to get output 1/2(|00⟩+|11⟩)?

- Quantum Physics -
**Gina**, Friday, March 15, 2013 at 2:19pm
Helppp

- Quantum Physics -
**Anonymous**, Sunday, March 17, 2013 at 2:44pm
u are all cheaters on the exam and will be reported.

- Quantum Physics -
**helpful**, Monday, March 18, 2013 at 2:57am
lolol at Anonymous

- Quantum Physics -
**Anonymous**, Monday, March 18, 2013 at 5:07am
:D im glad someone has a sense of humour..

- Quantum Physics -
**Don**, Monday, March 18, 2013 at 5:30pm
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?

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