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. We introduce an information-theoretic model for the rate analysis of QSS and its relation to compound quantum channels, following a similar approach as of Zou et al. (2015) on classical secret sharing. We establish a regularized characterization for the QSS capacity, and determine the capacity for QSS with dephasing noise.

翻译：本文研究了量子秘密共享（QSS）的容量极限问题。QSS方案的目标是将量子秘密分配给多个参与者，使得只有授权方通过协作才能恢复该秘密，而未授权方无法获取任何信息。我们借鉴Zou等人（2015）在经典秘密共享中提出的方法，引入信息论模型对QSS的速率进行分析，并探讨其与复合量子信道的关系。我们建立了QSS容量的正则化表征，并确定了存在退相位噪声时QSS的容量。