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Video course · 15 chapters · 96 min · certificate

Quantum Computing Course – Math and Theory for Beginners

freeCodeCamp's beginner quantum computing course: the essential maths (complex numbers, matrices, unitary and Hermitian matrices, eigenvectors), qubits, superposition, Dirac notation, the Bloch sphere, gates and phase, multi-qubit systems and entanglement, then algorithms from Deutsch and Deutsch-Jozsa to Bernstein-Vazirani, QFT, phase estimation and Shor's algorithm.

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What you'll learn

  • Work with complex numbers and matrices
  • Describe qubits, superposition and measurement
  • Use Dirac notation and the Bloch sphere
  • Apply single- and multi-qubit gates and phase
  • Explain entanglement, phase kickback and superdense coding
  • Follow Deutsch-Jozsa, Bernstein-Vazirani, QFT, QPE and Shor's algorithm

Chapters

15 chapters · 96:03
  1. 8:36 01Maths Members Complex numbers and matrices The foundations.
  2. 6:21 02Linear algebra Members Matrix operations and eigenvectors Transformations.
  3. 5:09 03Qubits Members Qubits and superposition 0 and 1 at once.
  4. 7:23 04Gates Members Dirac notation, Bloch sphere and single-qubit gates Notation and rotation.
  5. 4:15 05Phase Members Introduction to phase The source of power.
  6. 9:10 06Circuits Members Hadamard, phase gates and multiple qubits Building circuits.
  7. 5:24 07Entanglement Members Measuring qubits and entanglement Bell states.
  8. 7:02 08Protocols Members Phase kickback and superdense coding Clever tricks.
  9. 4:07 09Oracles Members Functions on quantum computers Reversible queries.
  10. 5:39 10Algorithms Members Deutsch's algorithm One query.
  11. 9:02 11Algorithms Members Deutsch-Jozsa algorithm n-bit generalisation.
  12. 4:18 12Algorithms Members Bernstein-Vazirani algorithm Find the secret string.
  13. 6:15 13QFT Members Quantum Fourier transform Encode in phase.
  14. 4:01 14QPE Members Quantum phase estimation Find eigenvalues.
  15. 9:21 15Shor Members Shor's algorithm Factoring.