scholarly journals Markov chains as evans-hudson diffusions in fock space

1990 ◽  
pp. 362-369 ◽  
Author(s):  
K. R. Parthasarathy ◽  
K. B. Sinha
Keyword(s):  
Markov Chains ◽  
Fock Space

A Limit Theorem for Quantum Markov Chains Associated to Beam Splittings

2001 ◽  
Vol 08 (03) ◽  
pp. 261-290
Author(s):  
Volkmar Liebscher
Keyword(s):  
Differential Equation ◽  
Markov Process ◽  
Markov Chains ◽  
Continuous Time ◽  
Existence And Uniqueness ◽  
Fock Space ◽  
Quantum Stochastic Differential Equation ◽  
Time Quantum ◽  
Quantum Markov Chains

We study special quantum Markov chains on a Fock space related to iterated beam splittings as introduced in [23]. Besides a characterization of the position distributions of the chain, we show some kind of weak convergence of such discrete time quantum Markov chains to a kind of continuous time quantum Markov process. Furthermore, we provide existence and uniqueness for the solution of a quantum stochastic differential equation related to this quantum Markov process both on an exponential domain and, on a larger domain, in a pointwise sense.

Markov models—Markov chains

2019 ◽  
Vol 16 (8) ◽  
pp. 663-664 ◽  
Author(s):  
Jasleen K. Grewal ◽  
Martin Krzywinski ◽  
Naomi Altman
Keyword(s):  
Markov Chains ◽  
Markov Models
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