
Selected topics from quantum information theory
 Faculty of Mathematics, Physics and Informatics, Comenius University, Bratislava (5 credits)
 subject code 2FYZ228, summer semester (2+1h/week)
 prerequisities: quantum mechanics, linear algebra,
 undergraduate and graduate students
 lecturer: Mário Ziman
 Thursdays: 10:0013:00, RCQI seminar room
Description:
We select 23 currently interesting research topics depending
on the interest of lecturers and students. Potential topics includes
quantum communication, quantum entanglement,
quantum cryptography, quantum complexity, quantum estimations,
quantum thermodynamics, quantum numerical methods, quantum dynamics,
quantum measurement, quanutum algorithms, quantum walks,
axiomatizations of quantum theory, relativistic quantum information,
quantum optics information processing, etc.
Plan for summer 2015 (details will be updated).
§ 1. Shannon information theory (Shannon entropy, min/max entropies)
§ 2. Quantum communication quantities (von Neumann entropy,
relative entropy, min/max entropies)
§ 3. Quantum entanglement (LOCC, measures, resource theory)
§ 4. Thermalization (equilibration, emergence of temperature)
§ 5. Work and Heat (thermodynamic entropy, 3rd law)
§ 6. 2nd law
§ 7. Landauer's principle
§ 8. Paradoxes
Exam:
 homeworks (60% of points) + test (40% of points) + (potential oral exam)
 A (>70% points), B(>60%), C(>45%), D(>30% p), E(>20%)
Literature:
 recent research papers, available here http://arxiv.org/archive/quantph
 M.Wilde: From Classical to Quantum Shannon Theory (Cambridge 2013),
http://arxiv.org/abs/1106.1445
 M.Nielsen, I.Chuang:
Quantum Information and Quantum Computation (Cambridge, 2000)
 T.Heinosaari, M.Ziman:
The Mathematical Language of Quantum theory (Cambridge, 2012)
 T.Heinosaari, M.Ziman:
Guide to mathematical concepts of quantum theory,
Acta Physica Slovaca 58, 487674 (2008)

