SECTION 1 · CHECK YOUR UNDERSTANDING

Qubits, superposition and measurement: quiz

Choose one answer for each of the 20 questions. You need at least 16 correct answers to pass.

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0 of 20 answered
1. Which statement best describes a classical bit?
2. What does |0⟩ mean in this lesson?
3. An ideal qubit is prepared in |1⟩ and measured in the computational basis. What is the predicted outcome?
4. What is obtained from a single computational-basis measurement of one qubit?
5. For the state α|0⟩ + β|1⟩, how is the probability of outcome 0 calculated?
6. The real amplitude of |0⟩ is 1/2 in a normalised qubit state. What is the probability of outcome 0?
7. What must the two computational-basis outcome probabilities for a qubit add up to?
8. What computational-basis probabilities does |+⟩ have?
9. What does the minus sign in |−⟩ = (|0⟩ − |1⟩)/√2 describe?
10. Two preparations produce the same 0/1 histogram in the computational basis. What can you conclude?
11. Which feature allows amplitudes to reinforce or cancel under suitable operations?
12. In an ideal nondestructive computational-basis measurement, an outcome of 0 leaves the measured qubit in which state?
13. You immediately repeat that ideal measurement without changing the qubit. What happens?
14. How should you collect independent samples of a circuit’s measurement outcomes?
15. What is a shot in the terminology used here?
16. A hypothetical 200-shot plus-state experiment gives 107 zeros. What is the observed frequency of 0?
17. The ideal prediction is 50/50, but a finite experiment gives 107 zeros and 93 ones. Which conclusion is justified?
18. Why specify the measurement basis?
19. What is a useful limit of collecting more shots?
20. Which claim about a superposition is accurate?
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