带有辅助方和可编程访问结构的量子秘密共享

中文摘要 AI 辅助

量子秘密共享（QSS）是一种将量子系统的状态划分为多个份额的过程，仅允许特定子集的股东重构该状态，而其他股东无法获取其身份的任何信息。在本研究中，我们提出了QSS的一种变体，称为“辅助方量子秘密共享（helper QSS）”，它指定了一个特殊股东，该股东与其他任意一组参与方的参与都足以恢复状态。我们提出了适用于任意数量参与方和系统规模的不同辅助码族。作为应用，我们引入了QSS中可编程访问结构的概念，这允许第三方编程者在将份额交付给所有股东后，仍能独立选择码的访问结构。该选择是盲目的，即编程者对所编码的秘密一无所知，且通过量子导引的非局域过程实现。

英文摘要

Quantum secret sharing (QSS) is a process in which the state of a quantum system is partitioned into multiple shares, allowing only specific subsets of shareholders to reconstruct the state, while others gain no information about its identity. In this work, we propose a variant of QSS, called ``helper QSS,'' which designates a special shareholder whose participation with any other group of parties is sufficient for recovering the state. We present different families of helper codes that function for an arbitrary number of parties and system sizes. As an application, we introduce the idea of a programmable access structure in QSS, which allows for a third-party programmer to independently choose the access structure of the code even after the shares are delivered to all the shareholders. This choice is made blindly, meaning that the programmer has no information about the secret being encoded, and it is implemented using the nonlocal process of quantum steering.

发表机构

• University of Illinois at Urbana-Champaign（伊利诺伊大学厄巴纳-香槟分校）
• University of Guelph（圭尔夫大学）
• University of Texas at Dallas（德克萨斯大学达拉斯分校）

机构由 AI 辅助整理，请以论文原文为准。