Universität Wien

260121 UE Quantum Information I - Exercises (2014W)

2.50 ECTS (2.00 SWS), SPL 26 - Physik
Continuous assessment of course work

Registration/Deregistration

Note: The time of your registration within the registration period has no effect on the allocation of places (no first come, first served).

Details

max. 25 participants
Language: German

Lecturers

Classes

Vorbesprechung: MO 06.10.2014 14.00-15.00 Ort: Ludwig-Boltzmann-Hörsaal, Boltzmanngasse 5, EG, 1090 Wien;

Teilnahme an der Vorbesprechung VERPFLICHTEND!

MI wtl von 12.00-13.30 Ort: Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien. Beginn: 15.10.14

Anmeldung über Univis von Mo 15.09.14 08:00 Uhr bis So 12.10.14 23:00 Uhr, abmelden bis So 26.10.14 23:00 Uhr.


Information

Aims, contents and method of the course

1. The qubit, polarization of photon, the density matrix, unitaries, Bloch vector representation of the qubit
2. One qubit algorithms: square-root of NOT operation, the Deutsch algorithm, interaction-free measurement
3. Two qubits, quantum gates, linear optics gates, entanglement, Schmidt decomposition
4. Bloch vector representation of two qubits, entanglement criteria and measures
5. Entanglement as a resource for quantum information: teleportation, dense coding, quantum key distribution
6. Quantum non-locality, Bell's inequalities, quantum communication complexity
7. Quantum theory of measurements: projective and generalized measurements, Positive Operator Valued Measures (POVMs)
8. Quantum maps, Kraus representation, quantum channels, impossible maps, the no-cloning theorem, the no-signaling theorem
9. Quantum alogorithms, Deutsch-Jozsa algorithm

Assessment and permitted materials

problems will be solved together in class, 2 homework sheets

Minimum requirements and assessment criteria

Introduction to quantum information science

Examination topics

Solution of exercise problems accompanying the main lecture

Reading list

1. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, 2000)
2. Preskill's lecture notes at http://www.theory.caltech.edu/people/preskill/ph229
3. Vazirani's lecture notes at http://www.cs.berkeley.edu/~vazirani/quantum.html
3. Hand notes of the main lecture that will be uploaded as the course progresses

Association in the course directory

MF 6, MaG 18, MaV 5, Dok 1.

Last modified: Mo 07.09.2020 15:41