Thursday, March 22, 2012

1203.4719 (Eric A. Carlen et al.)

Bounds for Entanglement via an Extension of Strong Subadditivity of
Entropy
   [PDF]

Eric A. Carlen, Elliott H. Lieb
We prove lower bounds for the entanglement of formation and the squashed entanglement for any a bipartite density matrix in terms of the conditional entropy of the bipartite state with respect to either of its partial traces, 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. We also derive upper bounds for the entanglements.
View original: http://arxiv.org/abs/1203.4719

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