Lecture:
1) Introduction: Single photon physics.
2) Quantum information encoding in a single photon polarization state.
3) Quantum communication protocols exploiting polarization states. Practical implementation: quantum key distribution.
4) Single photon spatial mode and the methods of quantum states encoding.
5) Multilevel quantum states -- generation and detection. Majorana representation.
6) Practical implementations of quantum information processing based on spatial mode encoding.
7) Parametric down conversion process -- quantum description and experimental methods.
8) Single photon detection
9) Phase space and Wigner function
Tutorials – calculations on selected problems, such as:
1) simple examples on “quantum world” sizes,
2) Bell states, Pauli matrices, transformations on Bloch sphere,
3) coding information in single-photons' polarization states,
4) quantum key distribution schemes, practical implementations,
5) Helmholtz equation, gaussian beam, propagation in fibers,
6) Jones matrices, optical networks,
7) single photon spatial mode encoding,
8) higher-dimensional entangled states generation methods,
9) nonlinear processes, parametric down conversion, phase matching conditions,
10) “cat” states and Wigner function
