Quantum secret sharing and tripartite information
Guangkuo Liu, Peixue Wu, Haneul Kim, Marius Junge · 2023
We develop a connection between tripartite information I3, quantum secret sharing protocols and multi-unitaries. This leads to a general framework of constructing ((2, 3)) threshold schemes in arbitrary dimension. As an application, we propose a class of random codes generated by Haar-distributed random unitaries, in which all states have bounded tripartite information with high probability. Moreover, using the I3criteria for imperfect sharing schemes, we discover examples of VIP secret sharing schemes.