ψQuantum Computing 2026

THE INTERACTIVE TEXTBOOK

Introduction to
Quantum Computing 2026

From the first complex amplitude to reliable quantum computation.

A mathematical course you can read, question, and experiment with. Begin with ordinary algebra; build toward quantum information, algorithms, noise, and fault tolerance.

Begin Chapter 1 →How to use this book
25Chapters
26Working laboratories
120Exercises with solutions
6Integrated projects

START WITH A QUESTION

One state. Three measurement bases.

For (2|0⟩ + 3i|1⟩)/√13, the Z, X, and Y bases reveal different probabilities. Change the amplitudes, sample measurements, and unfold every inner product.

Open the projection workbench →
Bloch vector for the recurring example, with coordinates 0, 12/13, minus 5/13.

A continuous course

Each chapter has the same explanations, examples, notation, and exercises in the PDF and on this site. Laboratory links take you directly from the page to the experiment.

CHAPTERS 1–8

Build the foundations

Probability, amplitudes, measurement, circuits, entanglement, and open systems.

  1. Information, probability, and computation
  2. Complex amplitudes and quantum states
  3. Measurement and changes of basis
  4. Gates, observables, and the Bloch sphere
  5. Registers, circuits, and entanglement
  6. Density matrices and subsystems
  7. Bell correlations, teleportation, and dense coding
  8. Noise channels, measurement data, and mitigation

CHAPTERS 9–15

Understand the algorithms

Oracle interference, period finding, Fourier methods, Hamiltonian simulation, and variational techniques.

  1. Oracle algorithms: Deutsch, Deutsch–Jozsa, and Bernstein–Vazirani
  2. Simon's algorithm and hidden XOR structure
  3. Grover search and amplitude amplification
  4. Fourier transforms and phase estimation
  5. Period finding and Shor's factoring algorithm
  6. Hamiltonian simulation and modern algorithmic tools
  7. Variational algorithms and their limits

CHAPTERS 16–20

Make computation reliable

Classical simulation, stabilizer codes, decoding, logical operations, and resource budgets.

  1. Classical simulation and the cost of representation
  2. Stabilizers and quantum error correction
  3. Surface codes and decoding
  4. Fault-tolerant computation and modern codes
  5. Resource estimation: from circuits to machines

CHAPTERS 21–25

Connect theory to practice

Physical platforms, quantum networks, reproducible software, 2026 evidence, and integrated projects.

  1. Physical qubits, control, and hardware benchmarks
  2. Quantum networks, BB84, and post-quantum cryptography
  3. Programming reproducible quantum experiments
  4. Reading the experimental frontier in 2026
  5. Integrated laboratories and a path to research

A dated view of a changing field

Research cutoff: 5 September 2026. Experiments, theory, preprints, and company claims are identified separately. Hardware counts and resource estimates keep their assumptions and scope.

Read the scientific snapshot →