single qubit
0 courses · 2 tutorials
Free Tutorials
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- beginner
- 13 min read
Pauli Gates as Rotations: X, Y and Z on the Bloch Sphere
Watch the X, Y and Z gates run on a live Bloch sphere. All three are half-turns around an axis, which explains why X flips a qubit, why Z appears to do nothing, and why applying any of them twice gets you back where you started.
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- intermediate
- 25 min read
Bloch Sphere Math: State Vectors to Rotations
The mathematics behind the Bloch sphere: how the angles θ and φ map to quantum state vectors, why single-qubit gates are rotations, and how to read any single-qubit state geometrically.