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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.
E.H. Lieb and M.B. Ruskai, Proof of the strong subadditivity of quantum-mechanical entropy
1941
Earlier work this paper cites.
H. Araki and E.H. Lieb, Entropy Inequalities
1970
Earlier work this paper cites.
E.H. Lieb, Convex trace functions and the Wigner-Yanase-Dyson Conjecture
1973
Earlier work this paper cites.
E.H. Lieb, Some convexity and subadditivity properties of entropy
1975
Earlier work this paper cites.
H. Narnhofer and W Thirring, From relative entropy to entropy
1985
Earlier work this paper cites.
C.H. Bennett, D.P. DiVincenzo, J.A. Smolin, W.K. Wootters, Mixed state entanglement and quantum error correction
1996
Earlier work this paper cites.
M. Nielsen and I. Chuang, Quantum Computation and Quantum Information
2000
Cited alongside, same era.
R. Tucci, Entanglement of distillation and conditional mutual information
2002
Cited alongside, same era.
R. Alicki and M. Fannes. Continuity of quantum conditional information
2004
Cited alongside, same era.
M. Christandl and A. Winter, Squashed entanglement – An additive entanglement measure
2004
Cited alongside, same era.
P. Hayden, R. Jozsa, D. Petz, and A. Winter, Structure of states which satisfy strong subadditivity of quantum entropy with equality
2004
Cited alongside, same era.
H. Narnhofer and W Thirring, Entanglement, Bell inequality and all that
Cited in the paper.
R. Horodecki, P. Horodecki, M. Horodecki and K. Horodecki, Quantum entanglement
2009
Later among the works it cites.
W. Song Lower bounds on the squashed entanglement for multi-party systems
2009
Later among the works it cites.
F. Brandao, M. Christandl, and J. Yard, Faithful squashed entanglement
2011
Later among the works it cites.
L. Zhang and J. Wu, On conjectures of classical and quantum correlations in bipartite states
2012
Closest in time.
C.H. Bennett, G. Brassard, S. Popescu, B. Schumacher, J.A. Smolin, W.K. Wootters, Purification of noisy entanglement and faithful teleportation via noisy channels
2031
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