Conference Key Agreement and Quantum Sharing of Classical Secrets with Noisy GHZ States
<|reference_start|>Conference Key Agreement and Quantum Sharing of Classical Secrets with Noisy GHZ States: We propose a wide class of distillation schemes for multi-partite entangled states that are CSS-states. Our proposal provides not only superior efficiency, but also new insights on the connection between CSS-states and bipartite graph states. We then consider the applications of our distillation schemes for two cryptographic tasks--namely, (a) conference key agreement and (b) quantum sharing of classical secrets. In particular, we construct ``prepare-and-measure'' protocols. Also we study the yield of those protocols and the threshold value of the fidelity above which the protocols can function securely. Surprisingly, our protocols will function securely even when the initial state does not violate the standard Bell-inequalities for GHZ states. Experimental realization involving only bi-partite entanglement is also suggested.<|reference_end|>
@article{chen2005conference,
    title={Conference Key Agreement and Quantum Sharing of Classical Secrets with
  Noisy GHZ States},
    author={Kai Chen and Hoi-Kwong Lo},
    journal={Information Theory, 2005. ISIT 2005. Proceedings. International
  Symposium on 4-9 Sept. 2005 Page(s):1607 - 1611},
    year={2005},
    doi={10.1109/ISIT.2005.1523616},
    number={CQIQC-ISIT 2005-CL1},
    archivePrefix={arXiv},
    eprint={cs/0508094},
    primaryClass={cs.IT cs.CR math.IT}
}