Title: Exchangeable and stationary chains of quantum Gaussian states and an integral formula for their entropy rates.
Speaker: K R Parthasarathy
Date: 11 March 2016
Time: 4 pm
We shall introduce the definition of a k-mode Gaussian state and a chain of such states which determine a C* probability space. We present examples of such states exhibiting properties like exchangeability and stationarity. Stationary chains are determined by block Toeplitz matrices. Using the Kac-Murdoch-Szego theorems on asymptotic spectral distributions of Toeplitz matrices we compute the entropy rates of some of these chains. This leaves many natural problems open.