Conference Key Agreement and Quantum Sharing of Classical Secrets with Noisy GHZ States

Details Conference Key Agreement and Quantum Sharing of Classical Secrets with Noisy GHZ States Conference Key Agreement and Quantum Sharing of Classical Secrets with Noisy GHZ States

2005-08-22

arxiv.org/abs/cs/0508094v1

Information Theory, 2005. ISIT 2005. Proceedings. International Symposium on 4-9 Sept. 2005 Page(s):1607 - 1611

Computer Science

Information Theory

5 pages, to appear in Proc. 2005 IEEE International Symposium on Information Theory (ISIT 2005, Adelaide, Australia)

Scientific paper

10.1109/ISIT.2005.1523616

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.

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