Vectors and Matrices
Brilliant.org
quantum gates
17 courses · 4 tutorials
Courses
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Quantum Computing (Interactive)
Brilliant.org
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The Complete Quantum Computing Course for Beginners
Packt
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Introduction to Quantum Information (KAIST)
KAIST / Joonwoo Bae
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Practical Quantum Computing with IBM Qiskit for Beginners
Packt
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Introduction to Quantum Computing with the Wolfram Language
Wolfram Research
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Quantum Computing For Everyone - An Introduction
Fractal Analytics (Srinjoy Ganguly, Shalini Devendrababu)
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The Complete Quantum Computing Course with Python [2025]
Hoang Quy La
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Fundamentals of Quantum Information
Delft University of Technology (QuTech)
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Quantum Computing (IBM SkillsBuild)
IBM SkillsBuild
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Quantum Katas: Self-Paced Quantum Programming Exercises (Microsoft)
Microsoft Quantum
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Introduction to Quantum Computing with Qiskit (openHPI / IBM Quantum)
Dr. Elisa Bäumer and Carmen Recio Valcarce, IBM Quantum
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Learn Quantum Computing with Qiskit Textbook
IBM Quantum / Qiskit Team
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Quantum Computing 101: From Zero to Your First Circuit
Dr. Donovan
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Introduction to Quantum Computing (Qubit by Qubit)
Qubit by Qubit instructors (Stanford PhDs)
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QSilver: Intermediate Quantum Computing Workshop (QWorld)
QWorld volunteer instructors
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PennyLane Codebook (formerly Xanadu Quantum Codebook)
Xanadu
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.
- →
- 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.
- →
- 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.
- →
- 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.