Asked by qwerty
                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
            
        (a) What is the probability that you guess right?
(b) Is there a measurement which is correct more often?
Yes
No
Answers
                    Answered by
            helpman
            
    b- no
    
                    Answered by
            willie wonka
            
    a) 0.853
    
                    Answered by
            Any
            
    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⟩ ?
                    Answered by
            Tuma
            
    (c) What quantum state do you have to input in order to get output 1/2ã(|00⟩+|11⟩)? 
    
                    Answered by
            Gina
            
    Helppp
    
                    Answered by
            Anonymous
            
    u are all cheaters on the exam and will be reported.
    
                    Answered by
            helpful
            
    lolol at Anonymous
    
                    Answered by
            Anonymous
            
    :D im glad someone has a sense of humour..
    
                    Answered by
            Don
            
    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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