Bounds for Entanglement via an Extension of Strong Subadditivity of Entropy |
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| Authors: | Eric A. Carlen Elliott H. Lieb |
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| Affiliation: | 1. Department of Mathematics, Hill Center, Rutgers University, 110 Frelinghuysen Road, Piscataway, NJ, 08854-8019, USA
2. Departments of Mathematics and Physics, Jadwin Hall, Princeton University, P. O. Box 708, Princeton, NJ, 08542, USA
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| Abstract: | Let ?? 12 be a bipartite density matrix. We prove lower bounds for the entanglement of formation Ef(?? 12) and the squashed entanglement Esq(?? 12) in terms of the conditional entropy S 12 ? S 1 and prove that these bounds are sharp by constructing a new class of states whose entanglements can be computed, and for which the bounds are saturated. |
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