Quantum optics 2

The lecture is devoted to selected topics in quantum optics and information: techniques of single photon generation and implementations of quantum information processing protocols.

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.

- M. A. Nielsen, I. L. Chuang, Quantum computation and quantum information, Cambridge University Press, Cambridge, 2006.

- D. Bruss, G. Leuchs, Lectures on Quantum Information, Wiley, 2007

- B.E. A. Saleh, M. Teich Fundamentals of Photonics Wiley, 1991

- publications introduced during lectures

ecture: a student has a problem to discuss, a score is based on the quality of the oral presentation; the justification of the resulting mark is justified by the examiner

tutorial: Completion of classes is based on attendance (for a minimum of 10 out of 15 classes) and delivering assesments due to specified date.

For each correctly solved task, delivered on time, 3 points are awarded.

In case of submitting the correct solution to the task with a week or two-week delay, 2 or 1 point, respectively, can be obtained. In case of giving wrong solution, depending on the mistakes made, it is possible to get a hint, to help solve the task at a later date.

To get credit for the tutorials, you must give the correct solutions to all tasks. Depending on the number of tasks to be delivered, the average number of points obtained for a single task is calculated. According to the following scheme, the proper mark is given:

[2.75, 3] excellent (5)

[2.5, 2.75) good + (4.5)

[2.25, 2.5) good (4)

[2.0, 2.25) satisfactory+ (3.5)

[1.5, 2.0) satisfactory (3)

[0, 1.5) unsatisfactory (2)

Not applicable