A Limit Theorem for Quantum Markov Chains Associated to Beam Splittings

@article{Liebscher2001ALT,
  title={A Limit Theorem for Quantum Markov Chains Associated to Beam Splittings},
  author={Volkmar Liebscher},
  journal={Open Syst. Inform. Dynam.},
  year={2001},
  volume={8},
  pages={261-290}
}
We study special Quantum Markov chains on a Fock space relate d to iterated beam splittings as introduced in [23]. Besides a charac terizatioin of the position distributions of the chain, we show some kind of wea k convergence of such discrete time Quantum Markov chains to a kind of conti nuous time Quantum Markov process. Furthermore, we provide existence a d uniqueness for the solution of a quantum stochastic differential e quation related to this Quantum Markov process both on an exponential… CONTINUE READING

From This Paper

Topics from this paper.

Citations

Publications citing this paper.

References

Publications referenced by this paper.
Showing 1-10 of 30 references

OhyaCompound Channels, Transition

  • M. L. Accardi
  • Expectations and Liftings Appl. Math
  • 1999
1 Excerpt

Generalization of the Conservation

  • V. LiebscherA
  • Integral Banach Center
  • 1998
3 Excerpts

Splittings, Coherent States and Quantum Stochastic Differential Equations

  • V. LiebscherBeam
  • Habilitation thesis FSU Jena
  • 1998
3 Excerpts

Time Evolution and Invariance of Boson Systems Given by Beam Splittings Infinite Dimensional Analysis, Quantum Probability and Related Topic

  • K.-H. Fichtner, W. Freudenberg, V. Liebscher
  • 1998
1 Excerpt

WittkeOn a Stochastic Differential Equation with Skorohod Integral and Point ProcessesIn C. Cecchini, editor,Contributions in Probability

  • T.K.-H. Fichtner
  • In memory of Alberto Frigerio Forum Ud ine
  • 1996
1 Excerpt

Generalized Brownian Motion, Point Processes and Stochastic Calculus for Random Fields Math

  • K.-H. Fichtner, G. Winkler
  • 1993
1 Excerpt

Winkler Generalized Brownian Motion , Point Processes and Stochastic Calculus for

  • G.
  • Random Fields Math . Nachr .
  • 1993

lokale Zustände und Charakterisierung lokalnormaler Zustände unendlicher Bosonensysteme PhD thesis FSU

  • V. LiebscherBedingte
  • 1993

Introduction to Quantum Stochastic Calculus Birkhäuser Basel, Boston, Berlin

  • K. R. ParthasarathyAn
  • 1992
2 Excerpts

Quagebeur A representation free quantum stochastic calculusJ

  • L. Accardi, F. Fagnola
  • Funct. Anal.104:149–197
  • 1992

Similar Papers

Loading similar papers…