dorsal/arxiv
View SchemaThe Entanglement of Formation for Isotropic States
| Authors | Barbara M. Terhal, Karl Gerd H. Vollbrecht |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0005062 |
| URL | https://arxiv.org/abs/quant-ph/0005062 |
| DOI | 10.1103/PhysRevLett.85.2625 |
| Journal | Phys. Rev. Lett. Vol. 85, 2625-2628 (2000) |
Abstract
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.
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"abstract": "We give an explicit expression for the entanglement of formation for\nisotropic density matrices in arbitrary dimensions in terms of the convex hull\nof a simple function. For two qutrit isotropic states we determine the convex\nhull and we have strong evidence for its exact form for arbitrary dimension.\nUnlike for two qubits, the entanglement of formation for two qutrits or more is\nfound to be a nonanalytic function of the maximally entangled fraction in the\nregime where the density matrix is entangled.",
"arxiv_id": "quant-ph/0005062",
"authors": [
"Barbara M. Terhal",
"Karl Gerd H. Vollbrecht"
],
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"quant-ph"
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"doi": "10.1103/PhysRevLett.85.2625",
"journal_ref": "Phys. Rev. Lett. Vol. 85, 2625-2628 (2000)",
"title": "The Entanglement of Formation for Isotropic States",
"url": "https://arxiv.org/abs/quant-ph/0005062"
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