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260046 VO Multi-photon interferometry and quantum communication (2017W)

5.00 ECTS (4.00 SWS), SPL 26 - Physik

Details

Language: English

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

the lectures on 11/12. December are cancelled and moved to 18/19 December.
The January lectures will be fixed later, but definitely we shall have them on 8/9, and most probably at 22/23 and 29/30.

Monday 02.10. 09:00 - 11:00 Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
Tuesday 03.10. 09:00 - 12:00 Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
Monday 09.10. 09:00 - 11:00 Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
Tuesday 10.10. 09:00 - 12:00 Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
Monday 16.10. 09:00 - 11:00 Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
Tuesday 17.10. 09:00 - 12:00 Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
Monday 23.10. 09:00 - 11:00 Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
Tuesday 24.10. 09:00 - 12:00 Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
Monday 30.10. 09:00 - 11:00 Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
Tuesday 31.10. 09:00 - 12:00 Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
Monday 06.11. 09:00 - 11:00 Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
Tuesday 07.11. 09:00 - 12:00 Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
Monday 13.11. 09:00 - 11:00 Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
Tuesday 14.11. 09:00 - 12:00 Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
Monday 20.11. 09:00 - 11:00 Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
Tuesday 21.11. 09:00 - 12:00 Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
Monday 27.11. 09:00 - 11:00 Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
Tuesday 28.11. 09:00 - 12:00 Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
Monday 04.12. 09:00 - 11:00 Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
Tuesday 05.12. 09:00 - 12:00 Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
Monday 11.12. 09:00 - 11:00 Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
Tuesday 12.12. 09:00 - 12:00 Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
Monday 18.12. 09:00 - 11:00 Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
Tuesday 19.12. 09:00 - 12:00 Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
Monday 08.01. 09:00 - 11:00 Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
Tuesday 09.01. 09:00 - 12:00 Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
Monday 15.01. 09:00 - 11:00 Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
Tuesday 16.01. 09:00 - 12:00 Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
Monday 22.01. 09:00 - 11:00 Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
Tuesday 23.01. 09:00 - 12:00 Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
Monday 29.01. 09:00 - 11:00 Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
Tuesday 30.01. 09:00 - 12:00 Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien

Information

Aims, contents and method of the course

List of topics to be covered:

1. Quantum mechanics (QM) of a qubit, and many qubits.
[All features of quantum mechanics of a qubit, and operational discussion of quantum rules as seen operationally via manipulations of polarization of a single photon. Next two qubit QM – introduction to entanglement, Schmidt decomposition, etc., reduced density matrices. Generalizations to multi-qubit situations. ]

2. Higher dimensional quantum systems.
[From dimension 3 to infinite dimensional quantum systems. ]

3. quantum description of electromagnetic fields. Elements of quantum optics.
[careful definition of the Fock space, based on the idea of wave packet profiles, specific method and states in quantum optics, detection theory

4. Basic non-classical interference phenomena.
[visibility limitations in classical correlation interference, specific quantum effects violating the limitations]

5. No-go theorems for local hidden variable theories.
[EPR correlations, Bell's theorem in various forms (original, GHZ, Hardy, CGLMP, etc., Bell inequalities for quantum optics), no-go for non-contextuality ]

6. elements of quantum communication.
[quantum key distribution, communication complexity reduction, secret sharing, teleportation, etc., quantum channels]

7. entanglement criteria.
[from PPT, via entanglement witnesses to positive maps, other type criteria, "steering", etc.]

8. quantum engineering of multi-photon states.
Sources of entangled photons.
[detailed description of parametric down conversion, other sources, multi-source and multi-emission methods, entanglement swapping, etc.]

The lecture will be about theory, however operational links will be presented,
and some crucial experiments discussed. Everything will be derived. It will be assumed that the
students are after classical electrodynamics course, and that they know it well. The topics and their presentation may be influenced by discussions with students, and their questions. The list of topics may be changed according to the needs of related with the on-going research in Vienna on related problems. Suggestions of group leaders and members would be welcome.

Assessment and permitted materials

The exam will be as follows. A list of questions will be published. Each student will be given three questions from the list, depending for which grade she/he is aspiring for (A, B, C – or whatever is the system in Austria). The answer must be written but immediately checked by me. If there are some problems I shall ask for immediate corrections in writing. The exam is passed when all answers are after such, sometimes several, interactions correct.

Minimum requirements and assessment criteria

Positive evaluation: passed examination. Rules of attendance – as defined by Vienna University.

Examination topics

Reading list

Additional reading:
very elementary introduction: "Six Quantum Pieces" V. Scarani , C. Lynn, L. S. Yang (World Scientific, 2010)

a good comprehensive textbook: "Lectures on Quantum Information", eds. D. Bruss and G. Leuchs (Wiley, 2007)

review articles:
Bell nonlocality
By: Brunner, Nicolas; Cavalcanti, Daniel; Pironio, Stefano; et al.
REVIEWS OF MODERN PHYSICS Volume: 86 Issue: 2 Published: APR 18
2014

Multiphoton entanglement and interferometry
By: Pan, Jian-Wei; Chen, Zeng-Bing; Lu, Chao-Yang; et al.
REVIEWS OF MODERN PHYSICS Volume: 84 Issue: 2 Published: MAY 11
2012

Quantum entanglement
By: Horodecki, Ryszard; Horodecki, Pawel; Horodecki, Michal; et al.
REVIEWS OF MODERN PHYSICS Volume: 81 Issue: 2 Pages: 865-942
Published: APR-JUN 2009

plus various articles at
https://arxiv.org/archive/quant-ph

Association in the course directory

MF 6, MaG 17, MaG 18

Last modified: Mo 07.09.2020 15:40