论文标题
$（t，n）$阈值$ d $ - 级量子秘密共享基于量子傅里叶变换
$(t, n)$ Threshold $d$-level quantum secret sharing based on quantum Fourier transformation
论文作者
论文摘要
量子秘密共享（QSS）是安全多方量子计算的重要分支。已经提出了基于量子傅里叶变换（QFT）的$（n，n）$阈值QSS的几个方案。灵感来自$（t，n）$阈值方案的灵活性，歌曲{\ it等}（Scientific Reports，2017年）提出了使用$ qft $的$（t，n）$ threshold QSS。后来，Kao和Hwang（Arxiv：1803.00216）在该方案中发现了一个漏洞，但没有提出任何补救措施。在本研究中，我们提出了一个$（t，n）$阈值QSS计划，以共享$ d $ dimensional古典秘密。可以使用本地操作（例如$ QFT $，广义Pauli运营商和本地测量）和经典通信来实施该方案。拟议计划的安全是针对局外人和参与者的窃听的。
Quantum secret sharing (QSS) is an important branch of secure multiparty quantum computation. Several schemes for $(n, n)$ threshold QSS based on quantum Fourier transformation (QFT) have been proposed. Inspired by the flexibility of $(t, n)$ threshold schemes, Song {\it et al.} (Scientific Reports, 2017) have proposed a $(t, n)$ threshold QSS utilizing $QFT$. Later, Kao and Hwang (arXiv:1803.00216) have identified a loophole in the scheme but have not suggested any remedy. In this present study, we have proposed a $(t, n)$ threshold QSS scheme to share a $d$ dimensional classical secret. This scheme can be implemented using local operations (such as $QFT$, generalized Pauli operators and local measurement) and classical communication. Security of the proposed scheme is described against outsider and participants' eavesdropping.
