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Course Roadmap

Course Map

A carefully sequenced introduction to quantum computing, from the single-qubit model to interference and algorithmic reasoning.

Sequence: Qubit → Superposition → Measurement → Gates → Entanglement → Circuits → Interference → Algorithms
  1. 1

    Qubit

    Available

    States, amplitudes, and measurement probabilities

    Establish the computational basis, the pure-state qubit model, and what measurement probabilities mean.

    16 minintroductoryQubitBasis stateComputational basis
    Open Chapter
  2. 2

    Superposition

    Available

    Coherence, phase, and interference

    Define superposition as a linear combination and explain why phase information changes outcomes.

    18 minintroductorySuperpositionRelative phaseHadamard gate
    Open Chapter
  3. 3

    Measurement

    Available

    Basis, Born rule, and post-measurement state

    Introduce the Born rule in the computational basis and clarify what collapse means in repeated experiments.

    17 mincoreMeasurement basisBorn rulePost-measurement state
    Open Chapter
  4. 4

    Quantum Gates

    Planned

    Unitary operations on state vectors

    Study X, Z, and H as linear operators that rotate and reflect qubit states.

    20 mincoreUnitary operatorPauli gatesHadamard gate
  5. 5

    Entanglement

    Planned

    Correlations beyond separable states

    Understand why some multi-qubit states cannot be decomposed into independent factors.

    22 mincoreTensor productBell stateNon-separable state
  6. 6

    Quantum Circuits

    Planned

    Composing gates into algorithms

    Move from single operations to circuit reasoning with wires, gate order, and measurement placement.

    24 mincoreCircuit modelGate sequencingMeasurement placement
  7. 7

    Interference

    Planned

    How amplitudes reinforce or cancel

    Analyze constructive and destructive interference as the mechanism behind quantum speedups.

    23 minadvancedPhase kickbackConstructive interferenceDestructive interference
  8. 8

    Algorithms

    Planned

    From principles to algorithmic advantage

    Connect core concepts to canonical algorithmic ideas and where quantum advantage actually comes from.

    26 minadvancedOracle modelAmplitude amplificationComplexity intuition