1
Part I: Foundations
6 chapters- Chapter 1: Why Quantum Computing? What Quantum Computers Can Do That Classical Computers Can't (and What They Can't Do Better)
- Chapter 2: The Qubit: Superposition, the Bloch Sphere, and Why a Quantum Bit Is Fundamentally Different from a Classical Bit
- Chapter 3: The Mathematics of Quantum Computing: State Vectors, Bra-Ket Notation, Unitary Operators, and the Linear Algebra You Need
- Chapter 4: Measurement — The Born Rule, Projection, Collapse, and Why Observing a Qubit Changes It
- Chapter 5: Multiple Qubits — Tensor Products, Entanglement, Bell States, and the Resource That Makes Quantum Computing Powerful
- Chapter 6: Quantum Gates: Pauli (X, Y, Z), Hadamard, CNOT, Phase, Toffoli — The Building Blocks of Quantum Circuits
2
Part II: Quantum Circuits and Programming
4 chapters- Chapter 7: Quantum Circuits: Building Computations from Gates — Universal Gate Sets, Circuit Diagrams, and Circuit Depth
- Chapter 8: Programming Quantum Computers with Qiskit: Your First Quantum Program on a Real Quantum Processor
- Chapter 9: Quantum Teleportation: Transmitting Quantum Information Using Entanglement (It's Not Sci-Fi — It's a Protocol)
- Chapter 10: Superdense Coding, Quantum Key Distribution, and the Communication Applications of Entanglement
3
Part III: Quantum Algorithms
7 chapters- Chapter 11: Quantum Parallelism and Interference — How Quantum Algorithms Get Their Speedup
- Chapter 12: The Deutsch-Jozsa and Bernstein-Vazirani Algorithms — Simple Problems, Exponential Speedup, and the First Taste of Quantum Advantage
- Chapter 13: Grover's Algorithm — Searching an Unsorted Database in √N Instead of N — Quadratic Speedup for Unstructured Problems
- Chapter 14: The Quantum Fourier Transform — The Mathematical Engine Inside the Most Important Quantum Algorithms
- Chapter 15: Shor's Algorithm — Factoring Large Numbers in Polynomial Time (and Why It Breaks RSA Encryption)
- Chapter 16: Quantum Phase Estimation — The Subroutine That Powers Shor's, Simulation, and Half of Quantum Computing
- Chapter 17: Quantum Simulation — Modeling Molecules, Materials, and Physics That Classical Computers Can't Handle
4
Part IV: NISQ Algorithms and Applications
4 chapters- Chapter 18: The NISQ Era — Noisy Intermediate-Scale Quantum Computers and the Algorithms Designed for Imperfect Hardware
- Chapter 19: Variational Quantum Eigensolver (VQE) — Finding Ground State Energies for Chemistry and Materials Science
- Chapter 20: QAOA — The Quantum Approximate Optimization Algorithm for Combinatorial Problems
- Chapter 21: Quantum Machine Learning — Variational Circuits, Quantum Kernels, and the Search for Quantum Advantage in ML
5
Part V: Quantum Error Correction
4 chapters- Chapter 22: Why Quantum Error Correction Is Necessary: Decoherence, Gate Errors, and the Fragility of Quantum Information
- Chapter 23: Classical Error Correction Review: Repetition Codes, Hamming Codes, and Why Quantum Is Harder (No-Cloning Theorem)
- Chapter 24: Quantum Error Correcting Codes: The Shor Code, Steane Code, and Stabilizer Formalism
- Chapter 25: Surface Codes and Fault-Tolerant Computation: The Path from Noisy Qubits to Reliable Quantum Computers
6
Part VI: Quantum Hardware
4 chapters- Chapter 26: Superconducting Qubits: Transmons, Flux Qubits, and the Hardware Inside IBM and Google Quantum Computers
- Chapter 27: Trapped Ion Qubits: Individual Atoms Manipulated by Lasers — IonQ, Quantinuum, and the Highest-Fidelity Qubits
- Chapter 28: Photonic, Neutral Atom, and Other Approaches: The Diversity of Quantum Hardware and Why No One Has Won Yet
- Chapter 29: Quantum Computing Systems: Cryogenics, Control Electronics, Calibration, and What It Takes to Run a Quantum Computer
7
Part VII: Quantum Computing and Society
3 chapters8
Part VIII: Synthesis
2 chapters9
Front Matter & Reference
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