Practice
Exercises
All interactive exercises grouped by chapter. Each exercise links back to its chapter for theory.
Chapter 1: Qubit
- Check your understandingClassical bit versus qubitDistinguish classical bits from qubit state vectors.
- Interactive exampleAmplitude and normalizationShape probability amplitudes and satisfy normalization.
- Guided exerciseComputational-basis measurementApply the Born rule in the computational basis.
- Chapter reviewChapter 1 reviewCombine basis states, normalization, and Born-rule reasoning.
Chapter 2: Superposition
- Check your understandingCoherent superpositionDistinguish superposition from classical uncertainty.
- Interactive exampleRelative phaseExplore how relative phase affects interference.
- Guided exerciseHadamard transformationConnect computational and X-basis states via H.
- Chapter reviewChapter 2 reviewCombine superposition, phase, Hadamard, and interference.
Chapter 3: Measurement
- Check your understandingBorn ruleConvert amplitudes to measurement probabilities.
- Interactive exampleFresh preparation statisticsInterpret finite-shot frequencies from fresh preparations.
- Guided exerciseMeasurement basisCompare computational-basis and X-basis measurement.
- Chapter reviewChapter 3 reviewCombine Born rule, post-measurement state, and basis dependence.