(t, n)基于QFT的阈值d级QSS

Quantum Inf. Comput. Pub Date : 2020-09-01 DOI:10.26421/QIC20.11-12-3

Sarbani Roy, S. Mukhopadhyay

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引用次数: 1

摘要

量子秘密共享是安全多方量子计算的一个重要分支。提出了几种基于量子傅里叶变换(QFT)的(n, n)阈值QSS方案。受(t, n)阈值方案灵活性的启发，Song {\it et al.} (Scientific Reports, 2017)利用QFT提出了(t, n)阈值QSS。后来，Kao和Hwang (arXiv:1803.00216)发现了该计划中的一个{漏洞}，但没有提出任何补救措施。在本研究中，我们提出了一种(t, n)阈值QSS方案来共享d维经典秘密。该方案可以使用局部运算(如QFT、广义泡利算子和局部测量)和经典通信来实现。对方案的安全性进行了描述，以防止外部和参与者的窃听。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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(t, n) Threshold d-level QSS based on QFT

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.

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Quantum Inf. Comput.

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