论文标题
真正的秘密共享状态
Genuine Secret-Sharing States
论文作者
论文摘要
量子秘密共享允许每个玩家以量子机械方式具有经典信息以供秘密共享。在这项工作中，我们构建了一类量子状态，在该状态下，玩家可以在该状态下对不诚实的玩家和Eavesdropper量化秘密共享。我们在这里称它们为真正的秘密共享状态。此外，我们表明，如果$ n $ players共享$ n $ - 政党真正的秘密共享状态，那么在总玩家中，任意$ m $ $ $ $的玩家可以通过本地运营和在该州的经典沟通来共享$ m $ $ m $ - 零件的真正的秘密共享状态。我们还定义了相对于真正的秘密共享状态的可蒸馏率，并解释了可蒸馏率与纠缠相对熵之间的联系。
Quantum secret sharing allows each player to have classical information for secret sharing in quantum mechanical ways. In this work, we construct a class of quantum states on which players can quantumly perform secret sharing secure against dishonest players as well as eavesdropper. We here call them the genuine secret-sharing states. In addition, we show that if $N$ players share an $N$-party genuine secret-sharing state, then arbitrary $M$ players out of the total players can share an $M$-party genuine secret-sharing state by means of local operations and classical communication on the state. We also define the distillable rate with respect to the genuine secret-sharing state, and explain the connection between the distillable rate and the relative entropy of entanglement.
