2012/03/27 by Eric A. Carlen, Elliott H. Lieb
Mathematics · Physics and Astronomy · #math-ph #math.MP #math.OA #msc:47A63 #msc:81P45 #quant-ph
paper · pdf · doi:10.1007/s11005-012-0565-6
8 pages. Version 2 includes some additional references and comments
arxiv created 2012/03/27 · arxiv updated 2015/06/04
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.