State vectors, amplitudes, and computational-basis measurement

Build the single-qubit pure-state model and learn how complex amplitudes become measurement probabilities.

Coherence, relative phase, and interference

Explain superposition as a coherent linear combination and show why phase affects later operations.

Basis, Born rule, and post-measurement state

Treat measurement as a physical, basis-dependent operation rather than passive observation.

Unitary operations on state vectors

Study X, Z, and H as reversible linear operators on qubit states.

Correlations beyond separable states

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

Composing gates into algorithms

Read quantum circuits as ordered transformations followed by selected measurements.

How amplitudes reinforce or cancel

Analyze constructive and destructive interference as a computational mechanism.

From principles to algorithmic advantage

Connect the course concepts to canonical algorithmic patterns and their limitations.