Entanglement of formation for isotropic states

We give an explicit expression for the entanglement of formation for isotropic density matrices in arbitrary dimensions in terms of the convex hull of a simple function. For two qutrit isotropic states we determine the convex hull and we have strong evidence for its exact form for arbitrary dimensio...

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Bibliographic Details
Published in:Physical review letters 2000-09, Vol.85 (12), p.2625-2628
Main Authors: Terhal, BM, Vollbrecht, KG
Format: Article
Language:English
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Summary:We give an explicit expression for the entanglement of formation for isotropic density matrices in arbitrary dimensions in terms of the convex hull of a simple function. For two qutrit isotropic states we determine the convex hull and we have strong evidence for its exact form for arbitrary dimension. Unlike for two qubits, the entanglement of formation for two qutrits or more is found to be a nonanalytic function of the maximally entangled fraction in the regime where the density matrix is entangled.
ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.85.2625