论文标题
串联扩展的CSS代码，用于沟通有效量子秘密共享
Concatenating Extended CSS Codes for Communication Efficient Quantum Secret Sharing
论文作者
论文摘要
最近，引入了一类量子秘密共享方案，称为通信有效量子阈值秘密共享方案（CE-QTS）。这些方案降低了秘密恢复期间的沟通成本。在本文中，我们引入了一类通信有效量子秘密共享方案（CE-QSS），其中包括阈值和非阈值方案。我们提出了一个框架，用于构建CE-QSS方案，以概括基于楼梯代码的CE-QTS方案的早期构建。此框架中的主要组件是一类量子代码，我们称之为扩展的calderbank-s-s-s-s-s-s-steane代码。这些扩展的CSS代码可能具有其他应用程序。我们得出了CE-QSS方案的通信成本的限制。最后，我们为使用拟议的框架提供了CE-QSS计划的结构。
Recently, a class of quantum secret sharing schemes called communication efficient quantum threshold secret sharing schemes (CE-QTS) was introduced. These schemes reduced the communication cost during secret recovery. In this paper, we introduce a general class of communication efficient quantum secret sharing schemes (CE-QSS) which include both threshold and non-threshold schemes. We propose a framework for constructing CE-QSS schemes to generalize the earlier construction of CE-QTS schemes which was based on the staircase codes. The main component in this framework is a class of quantum codes which we call the extended Calderbank-Shor-Steane codes. These extended CSS codes could have other applications. We derive a bound on communication cost for CE-QSS schemes. Finally, we provide a construction of CE-QSS schemes meeting this bound using the proposed framework.
