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arXiv · 0804.4797

Quantum states for perfectly secure secret sharing

Dong Pyo Chi·Jeong Woon Choi·Jeong San Kim·Taewan Kim·Soojoon Lee
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Abstract

In this work, we investigate what kinds of quantum states are feasible to perform perfectly secure secret sharing, and present its necessary and sufficient conditions. We also show that the states are bipartite distillable for all bipartite splits, and hence the states could be distillable into the Greenberger-Horne-Zeilinger state. We finally exhibit a class of secret-sharing states, which have an arbitrarily small amount of bipartite distillable entanglement for a certain split.

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Dong Pyo Chi, Jeong Woon Choi, Jeong San Kim, Taewan Kim, Soojoon Lee. 2008-04-30. Quantum states for perfectly secure secret sharing. https://doi.org/10.1103/physreva.78.012351

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