• DOI:10.1103/PhysRevLett.82.5385
Corpus ID: 14688979

Unextendible product bases and bound entanglement

@article{Bennett1999UnextendiblePB,
  title={Unextendible product bases and bound entanglement},
  author={C. H. Bennett and D. DiVincenzo and T. Mor and P. Shor and J. Smolin and B. Terhal},
  journal={Physical Review Letters},
  year={1999},
  volume={82},
  pages={5385-5388}
}

C. H. Bennett, D. DiVincenzo, +3 authors B. Terhal

Published 1999

Mathematics, Physics

Physical Review Letters

An unextendible product basis( UPB) for a multipartite quantum system is an incomplete orthogonal product basis whose complementary subspace contains no product state. We give examples of UPBs, and show that the uniform mixed state over the subspace complementary to any UPB is a bound entangled state. We exhibit a tripartite 2 3 2 3 2 UPB whose complementary mixed state has tripartite entanglement but no bipartite entanglement, i.e., all three corresponding 2 3 4 bipartite mixed states are… CONTINUE READING

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