The entanglement of purification

Barbara M. Terhal*, Micha Horodecki, Debbie W. Leung, David P. DiVincenzo

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

170 Citations (Scopus)


We introduce a measure of both quantum as well as classical correlations in a quantum state, the entanglement of purification. We show that the (regularized) entanglement of purification is equal to the entanglement cost of creating a state ρ asymptotically from maximally entangled states, with negligible communication. We prove that the classical mutual information and the quantum mutual information divided by two are lower bounds for the regularized entanglement of purification. We present numerical results of the entanglement of purification for Werner states in H2 ⊗ H2.
Original languageEnglish
Pages (from-to)4286-4298
Number of pages13
JournalJournal of Mathematical Physics
Issue number9
Publication statusPublished - 2002
Externally publishedYes


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