Bounds for Entanglement via an Extension of Strong Subadditivity of Entropy
Abstract
Let ρ 12 be a bipartite density matrix. We prove lower bounds for the entanglement of formation Ef( ρ 12) and the squashed entanglement Esq( ρ 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.
- Publication:
-
Letters in Mathematical Physics
- Pub Date:
- July 2012
- DOI:
- 10.1007/s11005-012-0565-6
- arXiv:
- arXiv:1203.4719
- Bibcode:
- 2012LMaPh.101....1C
- Keywords:
-
- Quantum Physics;
- Mathematical Physics;
- Mathematics - Operator Algebras;
- 81P45;
- 47A63
- E-Print:
- 8 pages. Version 2 includes some additional references and comments