Low-Dimensional Bound Entanglement With One-Way Distillable Cryptographic Key

@article{Horodecki2008LowDimensionalBE,
  title={Low-Dimensional Bound Entanglement With One-Way Distillable Cryptographic Key},
  author={Karol Horodecki and Lukasz Pankowski and Michal Horodecki and Pawel Horodecki},
  journal={IEEE Transactions on Information Theory},
  year={2008},
  volume={54},
  pages={2621-2625}
}
In this paper, we provide a class of bound entangled states that have positive distillable secure key rate. The smallest state of this kind is 4 otimes 4, which shows that peculiar security contained in bound entangled states does not need high-dimensional systems. We show that for these states a positive key rate can be obtained by one-way Devetak-Winter (DW) protocol. Subsequently, the volume of bound entangled key-distillable states for m otimes n Hilbert space with m, n > 4 is shown to be… CONTINUE READING

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