A Limit Theorem for Quantum Markov Chains Associated to Beam Splittings

  title={A Limit Theorem for Quantum Markov Chains Associated to Beam Splittings},
  author={Volkmar Liebscher},
  journal={Open Syst. Inform. Dynam.},
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

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