This paper studies the capacity limits for quantum secret sharing (QSS). The goal of a QSS scheme is to distribute a quantum secret among multiple participants, such that only authorized parties can recover it through collaboration, while no information can be obtained without such collaboration. Following the approach of Zou et al. (2015) on classical secret sharing, we introduce an information-theoretic model for the rate analysis of QSS and its relation to compound quantum channels. We establish a regularized characterization for the QSS capacity, and determine the capacity for QSS with dephasing noise.

翻译：本文研究量子秘密共享（QSS）的容量极限。量子秘密共享方案的目标是将量子秘密分发给多个参与者，使得只有授权方能够通过协作恢复秘密，而未授权协作则无法获取任何信息。借鉴Zou等人（2015）在经典秘密共享中的研究方法，我们提出了用于分析QSS速率及其与复合量子信道关系的信息论模型。我们建立了QSS容量的正则化表征，并确定了在退相位噪声下的QSS容量。