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SECTION 2 · CHECK YOUR UNDERSTANDING

Gates, circuits and entanglement: 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. What does X do to |0⟩ in the ideal model?
2. What is the result of applying X twice to |1⟩?
3. What does H do to |0⟩?
4. What does H do to |−⟩?
5. Starting in |0⟩, apply H and then H with no intermediate measurement. What follows ideally?
6. In this lesson, which qubit is the control in a CNOT input written |10⟩?
7. Using that ordering, CNOT maps |10⟩ to which state?
8. Using the same ordering, CNOT maps |01⟩ to which state?
9. What distinguishes coherent CNOT from measuring the control and conditionally flipping the target?
10. Which sequence prepares |Φ+⟩ from |00⟩ in the ideal model?
11. What outcomes occur when both qubits of |Φ+⟩ are measured in the computational basis?
12. Why are matching 00/11 results alone insufficient to prove entanglement?
13. What is the predicted result of applying H to both qubits of ideal |Φ+⟩ and then measuring both in the computational basis?
14. For the pure-state example in this lesson, what identifies an entangled pair?
15. Alice measures her share of a Bell pair. Why can she not send Bob a chosen message with entanglement alone?
16. What does the no-cloning theorem prohibit?
17. CNOT receives |+⟩ on the control and |0⟩ on the target. What is its output?
18. Which task is compatible with no-cloning?
19. Starting in |00⟩, apply CNOT first and then H to the first qubit. What is the final state?
20. What does a horizontal qubit line in the circuit diagram primarily track?
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