Interactive Notes · Quantum Computing · 2026

From Zero to
Quantum Computing

Self-contained interactive notes covering linear algebra, quantum mechanics, entanglement and quantum circuits — with live visualizations, exercises and a circuit simulator.

5 notes · 47+ sections Circuit sandbox
Section 01

The Notes

Note 01 · Linear Algebra for Quantum

Linear Algebra for Quantum

Vectors, complex numbers, inner products, Dirac notation, matrices and eigenvalues — everything needed to understand qubits from scratch.

10 sections
Note 02 · Basic Concepts of Quantum Computing

Basic Concepts of Quantum Computing

Introduction to the fundamental ideas of quantum mechanics and quantum computing, with a focus on the postulates of quantum mechanics, the qubit, measurement, and quantum gates.

10 sections
Note 03 · Composite Quantum Systems

Composite Quantum Systems

How to describe joint quantum systems? Introduction to the tensor product, computing basis states of composite systems, and visualizing two-qubit states.

6 sections
Note 04 · Quantum Circuits

Quantum Circuits

Introduction to quantum circuits, the standard model of quantum computation. How to represent quantum algorithms as sequences of gates, and how to visualize them with the circuit diagram notation.

9 sections
Note 05 · Quantum Algorithms

Quantum Algorithms

QFT, Shor and Grover algorithms — from first principles with interactive circuit builder.

12 sections
Interactive Lab

⚛ Circuit Sandbox

Drag-and-drop quantum circuit editor — up to 4 qubits, 8 moments. Live probability outcomes, preset circuits, Bloch sphere display.

Launch Sandbox ↗
Section 02

Key Concepts Index

Vectors Note 01 · §1 Space and Norm Note 01 · §2 Complex Numbers Note 01 · §3 Inner Product Note 01 · §4 Dirac Notation Note 01 · §5 Why |0⟩=(1,0)? Note 01 · §6 The Qubit Note 01 · §7 Measurement Note 01 · §8 Matrices & Gates Note 01 · §9 Eigenvalues Note 01 · §10 QM Postulates Note 02 · §1 Pauli Matrices Note 02 · §1b Measurement Bases Note 02 · §1c The Qubit Note 02 · §2 Measuring a Qubit Note 02 · §3 Transforming a Qubit Note 02 · §4 Quantum Gates Note 02 · §5 Basis Change Note 02 · §6 Measurement in Arbitrary Basis Note 02 · §7 Tricks & Summary Note 02 · §8 Composite Systems Note 03 · §1 Two-Qubit States Note 03 · §2 Entangled States Note 03 · §3 CHSH Game Note 03 · §4 Multi-Qubit Gates Note 03 · §5 Mixed States Note 03 · §6 Quantum Computing Note 04 · §1 Boolean Functions Note 04 · §2 Quantum Parallelism Note 04 · §3 State Transformation Note 04 · §4 Generating α|0⟩+β|1⟩ Note 04 · §5 No-Cloning Theorem Note 04 · §6 Bell Basis Measurement Note 04 · §7 Quantum Teleportation Note 04 · §8 Quantum Tomography Note 04 · §9 Classical DFT Note 05 · §1 Quantum QFT Note 05 · §2 QFT Circuit Derivation Note 05 · §3 QFT Complexity Note 05 · §4 Shor: Factoring Note 05 · §5 Shor: Order Finding Note 05 · §6 Period Finding Note 05 · §7 Continued Fractions Note 05 · §8 Shor: Full Example Note 05 · §9 Grover: Search Note 05 · §10 Grover: Diffusion Note 05 · §11 Grover: Rounds Note 05 · §12
Section 03

How to Use These Notes

1

Start with Note 01 if you are new to linear algebra. Otherwise jump directly to any section from the sidebar.

2

Read the theory boxes, then work through the exercises. Hints are hidden — always try first!

3

Use the interactive canvases to build intuition — click, drag and adjust sliders.

4

Open the Circuit Sandbox to experiment freely with quantum gates and see live probability outcomes.

No prerequisites. Each note starts from absolute basics. All maths is introduced step-by-step with worked examples and interactive visualizations.