Nonadditivity of Bipartite Distillable Entanglement Follows from a Conjecture on Bound Entangled Werner States
Abstract
Assuming the validity of a conjecture given by DiVincenzo et al. [Phys. Rev. A 61, 062312 (2000)] and by Dür et al. [Phys. Rev. A 61, 062313 (2000)], we show that the distillable entanglement for two bipartite states, each of which individually has zero distillable entanglement, can be nonzero. We show that this also implies that the distillable entanglement is not a convex function. Our example consists of the tensor product of a bound entangled state based on an unextendible product basis with an entangled Werner state which lies in the class of conjectured undistillable states.
- Publication:
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Physical Review Letters
- Pub Date:
- March 2001
- DOI:
- 10.1103/PhysRevLett.86.2681
- arXiv:
- arXiv:quant-ph/0010054
- Bibcode:
- 2001PhRvL..86.2681S
- Keywords:
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- Quantum Physics
- E-Print:
- 4 pages RevTex, 1 figure, to appear in Phys. Rev. Lett. Title changed and small paragraph added