⚛️
Quantum Computing
11 Parts · 36 Chapters
🗺️Territory Map▾
Ch 0 — The Map of Quantum Computing
🎯⚡
∑Mathematical Foundations▾
Ch 1 — Linear Algebra for Quantum
⚡
Ch 2 — Dirac Notation
Ch 3 — Probability Amplitudes
⚡
⚛️Quantum Mechanics▾
Ch 4 — Postulates of Quantum Mechanics
🎯
Ch 5 — Superposition & Interference
⚡
Ch 6 — Entanglement
🎯⚡
Ch 7 — Measurement & Decoherence
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🔵Qubits & Gates▾
Ch 8 — The Qubit
🎯⚡
Ch 9 — Single-Qubit Gates
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Ch 10 — Multi-Qubit Gates
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Ch 11 — Universal Gate Sets
🔗Quantum Circuits▾
Ch 12 — Quantum Circuits
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Ch 13 — Quantum Oracles
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Ch 14 — Reversible Computation
⚡Quantum Algorithms▾
Ch 15 — Deutsch–Jozsa
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Ch 16 — Grover's Algorithm
🎯⚡
Ch 17 — Quantum Fourier Transform
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Ch 18 — Shor's Algorithm
🎯⚡
Ch 19 — Quantum Phase Estimation
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📊Quantum Complexity▾
Ch 20 — Quantum Complexity Classes
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Ch 21 — What Quantum Can't Do
🛡️Error Correction▸
🧊Hardware & Modalities▸
💻Quantum Software▸
🚀Applications & Frontier▸
Chapters read0/36
⚛️ Quantum path

Quantum Computing

A visual route from qubits and gates to algorithms, error correction, and quantum advantage.

11 parts36 chapters35 terms
⚛️
QubitGateStateNoiseAlgo
Qubits → circuits → advantage
Version 1.0 · 2026

11 Parts · 36 Chapters · From Linear Algebra to Fault Tolerance

36
Chapters
11
Parts
8
Quizzes
35
Terms
📍 Choose a Learning Path
Foundations Path
Linear algebra, mechanics, qubits, gates
Algorithms Track
Circuits, oracles, Shor, Grover, QFT, QPE
Error Correction
Why EC matters, stabilizers, surface codes
Hardware Route
Superconducting, ion, photonic, atom
Applications & Frontier
Chemistry, QML, PQC, the future
🗺️Part 0 — Territory Map
⚡🎯
Ch 0
The Map of Quantum Computing
From linear algebra to fault-tolerant machines
∑Part 1 — Mathematical Foundations
⚡
Ch 1
Linear Algebra for Quantum
Vectors, matrices, complex numbers, and tensor products
Ch 2
Dirac Notation
Bra-ket — the language of quantum states
⚡
Ch 3
Probability Amplitudes
Not probabilities — amplitudes with phase
⚛️Part 2 — Quantum Mechanics
🎯
Ch 4
Postulates of Quantum Mechanics
State, evolution, measurement, composite systems
⚡
Ch 5
Superposition & Interference
Being in multiple states — and letting them cancel
⚡🎯
Ch 6
Entanglement
Correlations stronger than any classical system
⚡
Ch 7
Measurement & Decoherence
Why quantum is fragile — and why we can't observe it directly
🔵Part 3 — Qubits & Gates
⚡🎯
Ch 8
The Qubit
A two-level quantum system — the unit of quantum information
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Ch 9
Single-Qubit Gates
Pauli, Hadamard, phase — rotations of the Bloch sphere
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Ch 10
Multi-Qubit Gates
CNOT, CZ, Toffoli — where entanglement is created
Ch 11
Universal Gate Sets
What you need to compute anything
🔗Part 4 — Quantum Circuits
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Ch 12
Quantum Circuits
Gates as a diagram — the assembly language of quantum
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Ch 13
Quantum Oracles
Black-box functions as unitaries
Ch 14
Reversible Computation
Quantum gates are reversible — classical logic is not
⚡Part 5 — Quantum Algorithms
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Ch 15
Deutsch–Jozsa
The first exponential quantum speedup
⚡🎯
Ch 16
Grover's Algorithm
Quadratic speedup for unstructured search
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Ch 17
Quantum Fourier Transform
The quantum analog of the discrete Fourier transform
⚡🎯
Ch 18
Shor's Algorithm
Exponential speedup for factoring — and a threat to RSA
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Ch 19
Quantum Phase Estimation
Extracting eigenvalues — the workhorse subroutine
📊Part 6 — Quantum Complexity
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Ch 20
Quantum Complexity Classes
BQP, QMA, and where quantum sits
Ch 21
What Quantum Can't Do
The limits — and why most problems don't speed up
🛡️Part 7 — Error Correction
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Ch 22
Why Error Correction Is Necessary
Physical qubits are too noisy for long algorithms
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Ch 23
Stabilizer Codes
Detecting errors without measuring the state
⚡🎯
Ch 24
Surface Codes & Threshold
The leading candidate for fault-tolerant quantum computing
🧊Part 8 — Hardware & Modalities
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Ch 25
Superconducting Qubits
The leading modality — fast gates, cryogenic
Ch 26
Trapped Ions
Slow but precise — the fidelity leader
Ch 27
Photonic Qubits
Room temperature, telecom-ready, hard to make interact
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Ch 28
Neutral Atoms & Others
The rapidly maturing newcomer
💻Part 9 — Quantum Software
Ch 29
Quantum Programming Models
Circuit, annealing, measurement-based, analog
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Ch 30
SDKs & Frameworks
Qiskit, Cirq, PennyLane, Q# — the developer toolkit
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Ch 31
Simulating Quantum Computers
Why simulators matter — and where they fail
🚀Part 10 — Applications & Frontier
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Ch 32
Quantum Chemistry & Simulation
The most likely near-term application
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Ch 33
Quantum Machine Learning
Promise, hype, and reality
⚡🎯
Ch 34
Post-Quantum Cryptography
Preparing for the day Shor's algorithm works
Ch 35
The Quantum Frontier
Where the field is heading