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
9 answers
b- no
a) 0.853
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⟩ ?
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�ã(|00⟩+|11⟩)?
Helppp
u are all cheaters on the exam and will be reported.
lolol at Anonymous
:D im glad someone has a sense of humour..
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?