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On characterizing quantum stochastic evolutions

Published online by Cambridge University Press:  24 October 2008

R. L. Hudson  and
J. M. Lindsay
R. L. Hudson
Affiliation:
Department of Mathematics, University of Nottingham, Nottingham NG7 2RD
J. M. Lindsay
Affiliation:
Department of Mathematics, King's College, London WC2R 2LS
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Extract

It has recently been shown [7, 8, 4] that Markov dilations of quantum dynamical semigroups may be constructed by solving corresponding quantum stochastic differential equations. These equations may be interpreted as describing the evolution of a quantum system with a singular coupling to a Boson reservoir, moreover, when solutions are combined with the free evolution of the reservoir, a reversible evolution results which may be interpreted as that of the system plus reservoir. It is the purpose of the present paper to characterize the above stochastic evolutions essentially by a condition of with respect to the free evolution.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 102 , Issue 2 , September 1987 , pp. 363 - 369
Copyright
Copyright © Cambridge Philosophical Society 1987

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References

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