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". In this paper we introduce the notion of multiple (or "manybody") 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 "genetically" they satisfy the entanglement conditions

Accardi, L., Matsuoka, T., Ohya, M. (2006). Entangled Markov chains are indeed entangled. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, 9(3), 379-390 [10.1142/S0219025706002445].

Entangled Markov chains are indeed entangled

ACCARDI, LUIGI;
2006-09-01

Abstract

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". In this paper we introduce the notion of multiple (or "manybody") 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 "genetically" they satisfy the entanglement conditions
set-2006
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/06 - PROBABILITA' E STATISTICA MATEMATICA
English
degree of entanglement; multiple entanglement; quantum Markov chain
Accardi, L., Matsuoka, T., Ohya, M. (2006). Entangled Markov chains are indeed entangled. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, 9(3), 379-390 [10.1142/S0219025706002445].
Accardi, L; Matsuoka, T; Ohya, M
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/45971
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