260119 VO Quantum Information Theory (2012W)
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Vorbesprechung: 01.10.12, 14:00-15:00 Uhr, Ernst-Mach-HS, Strudlhofgasse, 1090 Wien
Mittwoch, ab 3.10.12, 09:00 - 11:00 Uhr, Ernst-Mach Hörsaal
Mittwoch, ab 3.10.12, 09:00 - 11:00 Uhr, Ernst-Mach Hörsaal
Details
Language: German
Examination dates
Lecturers
Classes
Currently no class schedule is known.
Information
Aims, contents and method of the course
Assessment and permitted materials
There will be about three homework sets and a take home final. Each homework will be worth 20%, and the final contributes 40%.
Minimum requirements and assessment criteria
Examination topics
Reading list
1. Preskill's lecture notes at
www.theory.caltech.edu/people/preskill/ph229
The advantage is that they are free.
2. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, 2000)
3. G. Benenti, G. Casati and G. Strini, Principles of Quantum Computation and Quantum Information, (World Scientific, Singapore, 2004)
The lectures will cover the first five items in the list below, with the main emphasis on Cjhapter 5: Measurements, and some illustrative material from the later chapters.
1. Motivational introduction: representation of information by quantum systems, quantum gates, quantum circuits, and a quantum algorithm
2. The density matrix and its representations, Schmidt decomposition, purification
3. Entanglement, nonlocality, Bell's and Wigner's inequalities, entanglement measures
and tests of entanglement. Entanglement as a resource for quantum information: teleportation and dense coding
4. Quantum operations, quantum maps, Kraus representation, quantum channels, impossible maps, the no-cloning theorem, the no-signaling theorem
5. Quantum theory of measurements: projective and generalized measurements, Positive Operator Valued Measures (POVMs), state discrimination strategies
6. Quantum communication as application of measurement theory: quantum key distribution protocols, quantum cryptography, security
7. Quantum algorithms: Deutsch-Jozsa algorithm, Grover's search algorithm, period finding, Shor's factorization algorithm
8. Decoherence, the effect of environment, decoherence-free subspaces
9. Error correction, stabilizer formalism, the Gottesman-Knill theorem
10. Application of information theory to quantum information: entropic measures of information, Schumacher's noiseless coding theorem, mutual information, Holevo's bound
11. Physical systems for the implementation of quantum information protocols
www.theory.caltech.edu/people/preskill/ph229
The advantage is that they are free.
2. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, 2000)
3. G. Benenti, G. Casati and G. Strini, Principles of Quantum Computation and Quantum Information, (World Scientific, Singapore, 2004)
The lectures will cover the first five items in the list below, with the main emphasis on Cjhapter 5: Measurements, and some illustrative material from the later chapters.
1. Motivational introduction: representation of information by quantum systems, quantum gates, quantum circuits, and a quantum algorithm
2. The density matrix and its representations, Schmidt decomposition, purification
3. Entanglement, nonlocality, Bell's and Wigner's inequalities, entanglement measures
and tests of entanglement. Entanglement as a resource for quantum information: teleportation and dense coding
4. Quantum operations, quantum maps, Kraus representation, quantum channels, impossible maps, the no-cloning theorem, the no-signaling theorem
5. Quantum theory of measurements: projective and generalized measurements, Positive Operator Valued Measures (POVMs), state discrimination strategies
6. Quantum communication as application of measurement theory: quantum key distribution protocols, quantum cryptography, security
7. Quantum algorithms: Deutsch-Jozsa algorithm, Grover's search algorithm, period finding, Shor's factorization algorithm
8. Decoherence, the effect of environment, decoherence-free subspaces
9. Error correction, stabilizer formalism, the Gottesman-Knill theorem
10. Application of information theory to quantum information: entropic measures of information, Schumacher's noiseless coding theorem, mutual information, Holevo's bound
11. Physical systems for the implementation of quantum information protocols
Association in the course directory
MaG 18, MaV 5, PD250, PD310, Dok 1.
Last modified: We 19.08.2020 08:06
There is no particular book required for the course as it is based on material from various books and research literature. I'll have my own type written lecture notes and the pdf file of the appropriate chapter will be made available as we proceed. Here is some additional literature that you might find useful to consult.