Suppose that a qubit is in the state |ψ> = a |0> + √ (1-a^2)|1> where a [-1,1] . If we first perform a standard basis measurement on this qubit and then perform a |u>, |u⊥> -basis measurement where |u> = b |0> + √ (1-b^2)|1> for some b [-1,1] , what is the probability that the outcome of the second measurement is u , in terms of a and b ?

1 answer

1+(2*a^2*b^2)-(a^2+b^2)
Similar Questions
  1. Suppose we have two qubits in the state α|00⟩+β|11⟩.(a) If we measure the first qubit in the sign basis, what is the
    1. answers icon 1 answer
  2. Suppose we have two qubits in the state α|00⟩+β|11⟩.(a) If we measure the first qubit in the sign basis, what is the
    1. answers icon 4 answers
  3. Suppose we have two qubits in the state α|00⟩+β|11⟩.(a) If we measure the fi rst qubit in the sign basis, what is the
    1. answers icon 1 answer
    1. answers icon 0 answers
more similar questions