State Model
Keep the distinction between state vectors, amplitudes, probabilities, and observed outcomes sharp.
- Normalize a state.
- Compute |alpha|^2 and |beta|^2.
- Explain why a state is not a hidden classical bit.
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Review Queue
A spaced-review style queue that turns incomplete exercises and fragile concepts into concrete next actions.
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6
- Open exercise
Classical bit versus qubit
Distinguish classical bits from qubit state vectors.
- Open exercise
Coherent superposition
Distinguish superposition from classical uncertainty.
- Open exercise
Born rule
Convert amplitudes to measurement probabilities.
- Open exercise
Amplitude and normalization
Shape probability amplitudes and satisfy normalization.
- Open exercise
Relative phase
Explore how relative phase affects interference.
- Open exercise
Fresh preparation statistics
Interpret finite-shot frequencies from fresh preparations.
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Phase and Interference
Review why equal measurement probabilities can still hide different future behavior.
- Compare |+> and |->.
- Apply H to both states.
- Identify constructive and destructive interference.
Measurement Basis
Practice Born-rule reasoning in more than one basis and avoid passive-observation language.
- Compute Z-basis probabilities.
- Convert to X-basis reasoning.
- Describe the post-measurement state.
Algorithmic Interference
Advanced review for oracle promises, phase kickback, and amplitude amplification.
- State the oracle promise.
- Track a sign flip.
- Explain when the speedup claim applies.