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Quantum states representing perfectly secure bits are always distillable

Quantum Physics 2007-11-07 v2

Abstract

It is proven that recently introduced states with perfectly secure bits of cryptographic key (private states representing secure bit) [K. Horodecki et al., Phys. Rev. Lett. 94, 160502 (2005)] as well as its multipartite and higher dimension generalizations always represent distillable entanglement. The corresponding lower bounds on distillable entanglement are provided. We also present a simple alternative proof that for any bipartite quantum state entanglement cost is an upper bound on distillable cryptographic key in bipartite scenario.

Keywords

Cite

@article{arxiv.quant-ph/0602176,
  title  = {Quantum states representing perfectly secure bits are always distillable},
  author = {Pawel Horodecki and Remigiusz Augusiak},
  journal= {arXiv preprint arXiv:quant-ph/0602176},
  year   = {2007}
}

Comments

RevTeX, 5 pages, published version