ENTANGLED MARKOV CHAINS ARE INDEED ENTANGLED
Luigi Accardi, Takashi Matsuoka, Masanori Ohya · Infinite Dimensional Analysis Quantum Probability and Related Topics · 2006
Entangled Markov chains (EMC) were so baptized on the basis of the conjecture that they provide examples of states, on infinite tensor products of matrix algebras, which are in some sense "entangled".2 In this paper we introduce the notion of multiple (or "many-body") entanglement and extend the two-body criterion of entanglement obtained in Ref. 17 to this case. We then apply this extension to EMC and prove that "generically" they satisfy the entanglement conditions.