# Estimate of the absolute value of the probability amplitude of |0⟩ in the superposition

You are given a source of an unknown qubit state. You make measurements in the computational basis, that is, your measurement is $$\{|0\rangle \langle0|,|1\rangle \langle 1|\}$$. You observe that you see the outcome zero $$30$$ times and the outcome one $$70$$ times out of a hundred measurements. What is your estimate of the absolute value of the probability amplitude of $$|0\rangle$$ in the superposition?

Any help would be appreciated. Thanks

• To clarify, you want the full probability distribution for the amplitude given the data? Not just a single proportion. Aug 24 '19 at 0:10
• Do you have any own thoughts on this? Aug 24 '19 at 12:03
• Yes, basically an absolute value of the probability amplitude for 0 ket (an estimate is fine). Aug 27 '19 at 21:21
• If you have worked it out, just put your answer. You can get yourself a Self-Learner badge. Someone else can expand on it if you miss anything, but it's good to answer your own questions. Aug 28 '19 at 20:53
• @Ashish the OP asked for the absolute value of the probability amplitude, that is, a real number. Sep 6 '19 at 13:42