Abstract
We introduce a notion of universal preparability for a state of a system, more precisely: for a normal state on a von Neumann algebra. It describes a situation where from an arbitrary initial state it is possible to prepare a target state with arbitrary precision by a repeated interaction with a sequence of copies of another system. For B(H) we give criteria sufficient to ensure that all normal states are universally preparable which can be verified for a class of noncommutative birth and death processes realized by the interaction of a micromaser with a stream of atoms. As a tool the theory of tight sequences of states and of stationary states is further developed and we show that in the presence of stationary faithful normal states universal preparability of all normal states is equivalent to asymptotic completeness, a notion studied earlier in connection with the scattering theory of noncommutative Markov processes.
Original language  English 

Pages (fromto)  5994 
Number of pages  36 
Journal  Communications in Mathematical Physics 
Volume  352 
Issue number  1 
Early online date  07 Mar 2017 
DOIs  
Publication status  Published  16 Mar 2017 
Keywords
 repeated interaction
 transition
 preparability
 tightness
 stationary Markov chain
 asymptotic completeness
 controllability
 observability
 micromaser
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Rolf Gohm
 Faculty of Business and Physcial Sciences, Department of Mathematics  Senior Lecturer
Person: Teaching And Research