course: Statistical structure of quantum theory
speaker: Alexander Holevo (Steklov Mathematical Institute)abstract: The course presents some basic concepts and rigorous results of a new scientific discipline – quantum information theory. It starts with a thorough reconsideration of the mathematical foundations of quantum theory from the modern statisticalinformation theoretic viewpoint, requiring only a minor prior knowledge of standard quantum mechanics. The concepts of quantum state, observable and (irreversible) dynamics of a quantum system are carefully discussed and appropriately generalized. A central notion of quantum communication channel is explained with a number of examples. The mathematical framework of the lectures is operator (matrix) theory infniite dimensional Hilbert space, so that knowledge of a basic linear algebra, along with basic probability, would be a sufficient technical prerequisite.
References:
1 A. S. Holevo, Statistical structure of quantum theory, Springer-Verlag, Berlin NY, 2001. 2 M. A. Nielsen, I. Chuang, Quantum Computation and Quantum Information. Cambridge University Press, 2000. 3 M. Hayashi, Quantum information: an introduction, Springer, Berlin 2006. 1
timetable:
Tue 10 Jul, 11:00 - 13:00, Sala Conferenze Centro De Giorgi
Wed 11 Jul, 11:00 - 13:00, Sala Conferenze Centro De Giorgi
Thu 12 Jul, 11:00 - 13:00, Sala Conferenze Centro De Giorgi
documents:
abstract
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