Cecchini's transition expectations and markov chains
Heuristically a quantum Markov chain indexed by N is a state ϕ on ⊗NB (B − a matrix algebra) whose sequence of density matrices has a local structure (corresponding to the physical intuition that the interaction Hamiltonian is nearest neighbour). In  two classes of such chains were constructed: the Markov chains and the generalized Markov chains. In
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