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Phys. Rev. A 65, 032107 (2002) [4 pages]

Bound entanglement and local realism

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Dagomir Kaszlikowski1,2, Marek Żukowski3, and Piotr Gnaciński3
1Department of Physics, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260
2Instytut Fizyki Doświadczalnej, Uniwersytet Gdański, PL-80-952 Gdańsk, Poland
3Instytut Fizyki Teoretycznej i Astrofizyki, Uniwersytet Gdański, PL-80-952 Gdańsk, Poland

Received 5 August 2001; published 5 February 2002

We show using a numerical approach, which gives necessary and sufficient conditions for the existence of local realism, that the bound entangled state presented in Bennett et al. [Phys. Rev. Lett. 82, 5385 (1999)] admits a local and realistic description. We also find the lowest possible amount of some appropriate entangled state that must be ad-mixed to the bound entangled state so that the resulting density operator has no local and realistic description and as such can be useful in quantum communication and quantum computation.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.65.032107
DOI:
10.1103/PhysRevA.65.032107
PACS:
03.65.Ud