Foundations of Qubits
A precise beginner path from classical bits to the single-qubit model used by every later topic.
Current release
A story-led introduction to quantum computing, built around precise explanations, mathematical reasoning, and carefully designed exercises.
Narrative scenes provide intuition, but every analogy is eventually connected to the formal quantum model.
Local progress
Chapters completed: 0/8
Exercises completed: 0/48
Alice In Quantumland now connects chapters, review, labs, and projects into one progression from first qubit to applied quantum systems.
A precise beginner path from classical bits to the single-qubit model used by every later topic.
Move from one-qubit states to reversible operations, tensor products, Bell states, and circuit diagrams.
A serious route into Deutsch-Jozsa, Grover search, phase kickback, and the limits of algorithmic claims.
Applied practice with circuit construction, simulator checks, noise intuition, and reproducible notebooks.
The current release focuses on the single-qubit foundations needed by later chapters.
State vectors, amplitudes, and computational-basis measurement
Build the single-qubit pure-state model and learn how complex amplitudes become measurement probabilities.
Prerequisites
No formal prerequisites
Coherence, relative phase, and interference
Explain superposition as a coherent linear combination and show why phase affects later operations.
Prerequisites
Qubit
Basis, Born rule, and post-measurement state
Treat measurement as a physical, basis-dependent operation rather than passive observation.
Prerequisites
Qubit, Superposition
Unitary operations on state vectors
Study X, Z, and H as ideal unitary operators on qubit states.
Prerequisites
Measurement
Tensor products, controlled gates, and Bell-state correlations
Move from one-qubit reasoning to joint state spaces and learn why Bell states are not merely hidden shared coins.
Prerequisites
Quantum Gates
Circuit notation, no-cloning, teleportation, and superdense coding
Read circuit diagrams as ordered state evolution and connect them to the first real quantum information protocols.
Prerequisites
Multi-Qubit States and Entanglement
Oracles, phase kickback, Deutsch-Jozsa, and Grover intuition
Study how useful quantum algorithms arrange signs and amplitudes so wanted answers are amplified and unwanted paths cancel.
Prerequisites
Quantum Circuits and Protocols
From fragile circuits to responsible claims about advantage
Learn why noise is the central engineering obstacle and how error correction, fault tolerance, and realistic resource estimates shape the field.
Prerequisites
Algorithms as Engineered Interference
Qubit -> Superposition -> Measurement -> Gates -> Entanglement -> Circuits -> Interference -> Algorithms
Work through chapters in order. Later chapters build on earlier ones.