Pauli gates

0 courses · 3 tutorials

Free Tutorials

- 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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- beginner
- 15 min read
Quantum Gates: Hadamard, Pauli, CNOT, Toffoli (with Diagrams)

What each quantum gate actually does to a qubit state, with circuit diagrams and matrix forms for Hadamard, Pauli-X/Y/Z, CNOT, Toffoli, and the rotation gates.
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- beginner
- 20 min read
Quantum Gates as Matrices: The Linear Algebra Behind Quantum Computing

Understand quantum gates as 2x2 unitary matrices, see the explicit matrices for X, Y, Z, H, S, and T gates, and learn how matrix multiplication corresponds to running gates sequentially.
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