Bipartite states of low rank are almost surely entangled

Mary Beth Ruskai, Elisabeth M. Werner

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


We show that a bipartite state on a tensor product of two matrix algebras is almost surely entangled if its rank is not greater than that of one of its reduced density matrices.

Original languageEnglish (US)
Article number095303
JournalJournal of Physics A: Mathematical and Theoretical
Issue number9
StatePublished - 2009


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