Quantum statistics I

We will present and discuss in detail basic problems of quantum statistics. These include, in analogy to mathematical statistics, quantum hypothesis testing and state estimation. In the first part of the course it will be necessary to carefully introduce the C*-algebraic formalizm, which allows to describe physical systems, classical or quantum, in an unified way. Within this abstract setting the basic concept of random variable, for example, is generalized by the notion of (quantum) state.

Date and time info
Friday 10.00 - 11.30

Keywords
quantum theory, probability theory, mathematical statistics, ergodic theory, operator algebras (matrix, C*-, von Neumann), state space, statistical model, quantum tests, decision problems, state estimation, (asymptotic) hypothesis testing, stochastic processes

Prerequisites
Some background in probability theory, quantum mechanics, linear algebra, functional analysis, ergodic theory would be helpful.

Language
English