Crynodeb
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.
Iaith wreiddiol  Saesneg 

Tudalennau (oi)  5994 
Nifer y tudalennau  36 
Cyfnodolyn  Communications in Mathematical Physics 
Cyfrol  352 
Rhif cyhoeddi  1 
Dyddiad arlein cynnar  07 Maw 2017 
Dynodwyr Gwrthrych Digidol (DOIs)  
Statws  Cyhoeddwyd  16 Maw 2017 
Ôl bys
Gweld gwybodaeth am bynciau ymchwil 'Universal Preparability of States and Asymptotic Completeness'. Gyda’i gilydd, maen nhw’n ffurfio ôl bys unigryw.Proffiliau

Rolf Gohm
 Cyfadran Busnes a’r Gwyddorau Ffisegol, Mathemateg  Senior Lecturer
Unigolyn: Dysgu ac Ymchwil