Entanglement of the Antisymmetric State

Matthias Christandl, Norbert Schuch, Andreas J Winter

Research output: Contribution to journalArticle (Academic Journal)peer-review

37 Citations (Scopus)


We analyse the entanglement of the antisymmetric state in dimension d × d and present two main results. First, we show that the amount of secrecy that can be extracted from the state is low, more precisely, the distillable key is bounded by . Second, we show that the state is highly entangled in the sense that a large number of ebits are needed in order to create the state: entanglement cost is larger than a constant, independent of d. The second result is shown to imply that the regularised relative entropy with respect to separable states is also lower bounded by a constant. Finally, we note that the regularised relative entropy of entanglement is asymptotically continuous in the state.
Original languageEnglish
Pages (from-to)397-422
Number of pages26
JournalCommunications in Mathematical Physics
Issue number2
Publication statusPublished - Apr 2012


Dive into the research topics of 'Entanglement of the Antisymmetric State'. Together they form a unique fingerprint.

Cite this