Quantum Secret Sharing and Tripartite Information

15 Dec 2020 · Marius Junge, Chloe Kim, Guangkuo Liu, Peixue Wu ·

We develop a connection between tripartite information $I_3$, secret sharing protocols and multi-unitaries. This leads to explicit ((2,3)) threshold schemes in arbitrary dimension minimizing tripartite information $I_3$. As an application we show that Page scrambling unitaries simultaneously work for all secrets shared by Alice. Using the $I_3$-Ansatz for imperfect sharing schemes we discover examples of VIP sharing schemes.

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Quantum Secret Sharing and Tripartite Information

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