- Introduction and history of quantum computation. Selected chapters from quantum physics - bra-ket formalism, operators, probability amplitudes, measurement, quantum mechanics interpretations, unitarity.
- Qubit, Bloch sphere, pure and mixed states, density matrix, tensor product, entangled states, quantum gates.
- Overview of existing quantum computers.
- Light-matter interaction, Fock states, coherent states, thermal states, squeezed states, Wigner distribution.
- Superconducting qubit, Josephson junction, Transmon qubit, qubit-cavity interaction (Jaynes-Cummings model).
- Qubit dynamics, Rabi oscillations, superconducting quantum circuits and their characterizations, projective measurement, POVM (A positive operator-valued measure).
- Photonic qubit, photonic optical gates, examples of experimental realizations.
- Single photon source (parametric down-conversion), generation of entangled states, detection, polarization.
- Hong-Ou-Mandel effect, quantum repeater, quantum memory, integrated quantum photonics.
- Ion traps, radiofrequency trap (Paul trap), Penning trap and other trapping possibilities.
- Manipulation with individual ions, quantum gates realization.
- Ion cooling, examples of experimental realizations with ion traps.
- Physical description of other candidates for quantum computation (quantum dots, neutral atoms, nuclear magnetic resonance).