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PRESENTATION:
Andrzej Jamiolkowski is professor of theoretical physics at the Nicolaus
Copernicus University in Torun, Poland. He is expert of quantum mechanics
of open system. Well known are his studies on positivity of maps. He graduated
in physics from the University of Warsaw in 1969 and from the Nicolaus
Copernicus University in Torun obtained in 1973 his Ph.D. in theoretical
physics and in 1983 postdoctoral degree. He was a vicerector of the Nicolaus
Copernicus University in the years 19861999 and then the rector in the
years 19931999. He attended the longterm foreign scholarships in Munich,
Oldenburg and Marburg and participated in numerous studio journeys e.g.
to American universities, at the USA government's s invitation, and to
European universities (e.g. Kings College in London). He lectured and
carried out research out of the country over 4 years. Since 1 January
2000 till end of 2001 he was a vicechairman of the Main Board of Higher
Education and since 1 January 2002 till now he is the President of the
Polish State Committee for Accreditation. 


The question of the minimal number r of observables
Q1 , …, Qr , whose mean values at some instants t1 , …, ts
determine the statistical state of a dlevel open quantum system is discussed.
We assume that the time evolution of the system in question is given by
a semigroup of linear transformations with a generator L. A similar problem
of the minimal number p of moments of observations, which are necessary
for reconstruction of trajectories is also addressed. To give an exact
answer to the above questions we introduce two notions: index of cyclicity
and index of reconstructibility of the system. 