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Secret sharing is a fundamental primitive in cryptography, and it can be achieved even with perfect security. However, the distribution of shares requires computational assumptions, which can compromise the overall security of the protocol.…

Quantum Physics · Physics 2025-04-29 Alex B. Grilo , Lucas Hanouz , Anne Marin

In addition to secret splitting, secret reconstruction is another important component of secret sharing. In this paper, the first quantum secret reconstruction protocol based on cluster states is proposed. Before the protocol, a classical…

Quantum Physics · Physics 2023-06-16 Ruihai Ma , Fei Gao , Song Lin

We present a unified formalism for threshold quantum secret sharing using graph states of systems with prime dimension. We construct protocols for three varieties of secret sharing: with classical and quantum secrets shared between parties…

Quantum Physics · Physics 2010-12-22 Adrian Keet , Ben Fortescue , Damian Markham , Barry C. Sanders

A secret sharing scheme is a method to store information securely and reliably. Particularly, in a threshold secret sharing scheme, a secret is encoded into $n$ shares, such that any set of at least $t_1$ shares suffice to decode the…

Information Theory · Computer Science 2016-04-04 Wentao Huang , Michael Langberg , Joerg Kliewer , Jehoshua Bruck

We present a simple and practical protocol for the solution of a secure multiparty communication task, the secret sharing, and its experimental realization. In this protocol, a secret message is split among several parties in a way that its…

In the $\left( {t,n} \right)$ threshold quantum secret sharing scheme, it is difficult to ensure that internal participants are honest. In this paper, a verifiable $\left( {t,n} \right)$ threshold quantum secret sharing scheme is designed…

Cryptography and Security · Computer Science 2020-08-26 Li-Juan Liu , Zhi-Hui Li , Zhao-Wei Han , Dan-Li Zhi

A rational secret sharing scheme is a game in which each party responsible for reconstructing a secret tries to maximize his utility by obtaining the secret alone. Quantum secret sharing schemes, either derived from quantum teleportation or…

Quantum Physics · Physics 2015-08-06 Arpita Maitra , Sourya Joyee De , Goutam Paul , Asim K. Pal

Quantum secret sharing (QSS) is essential for multiparty quantum communication, which is one of cornerstones in the future quantum internet. However, a linear rate-distance limitation severely constrains the secure key rate and transmission…

Quantum Physics · Physics 2021-04-13 Jie Gu , Xiao-Yu Cao , Hua-Lei Yin , Zeng-Bing Chen

In the last decades, Quantum Cryptography has become one of the most important branches of Quantum Communications with a particular projection over the future Quantum Internet. It is precisely in Quantum Cryptography where two techniques…

General Physics · Physics 2021-02-16 Mario Mastriani

Recently, Younes et al. proposed an efficient multi-party semi-quantum secret sharing (SQSS) scheme that generalizes Tian et al.'s three-party protocol \cite{Tian2021} to accommodate multiple participants. This scheme retains the original…

Quantum Physics · Physics 2024-09-10 Mustapha Anis Younes , Sofia Zebboudj , Abdelhakim Gharbi

We explore the conversion of classical secret-sharing schemes to quantum ones, and how this can be used to give efficient QSS schemes for general adversary structures. Our first result is that quantum secret-sharing is possible for any…

Quantum Physics · Physics 2007-05-23 Adam D. Smith

Quantum State Sharing (QSS) is a protocol by which a (secret) quantum state may be securely split, shared between multiple potentially dishonest players, and reconstructed. Crucially the players are each assumed to be dishonest, and so QSS…

Quantum Physics · Physics 2023-06-05 Cailean Wilkinson , Matthew Thornton , Natalia Korolkova

In quantum secret sharing, a quantum secret state is mapped to multiple shares such that shares from qualified sets can recover the secret state and shares from other forbidden sets reveal nothing about the secret state; we study the…

Quantum Physics · Physics 2025-07-24 Hua Sun

Quantum key distribution (QKD) refers to specific quantum strategies which permit the secure distribution of a secret key between two parties that wish to communicate secretly. Quantum cryptography has proven unconditionally secure in ideal…

Quantum Physics · Physics 2008-10-14 C. Rodó , O. Romero-Isart , K. Eckert , A. Sanpera

The work presents an amalgam of quantum search algorithm (QSA) and quantum secret sharing (QSS). The proposed QSS scheme utilizes Grover's three-particle quantum state. In this scheme, the dealer prepares an encoded state by encoding the…

Quantum Physics · Physics 2021-11-18 Deepa Rathi , Farhan Musanna , Sanjeev Kumar

Sharing a secret efficiently amongst a group of participants is not easy since there is always an adversary / eavesdropper trying to retrieve the secret. In secret sharing schemes, every participant is given a unique share. When the desired…

Cryptography and Security · Computer Science 2022-11-04 James Smith

In this article we present a general security strategy for quantum secret sharing (QSS) protocols based on the HBB scheme presented by Hillery, Bu\v{z}ek and Berthiaume [Phys. Rev A \textbf{59}, 1829 (1999)]. We focus on a generalization of…

Quantum Physics · Physics 2011-01-18 Stefan Schauer , Marcus Huber , Beatrix C. Hiesmayr

We explore a generalization of quantum secret sharing (QSS) in which classical shares play a complementary role to quantum shares, exploring further consequences of an idea first studied by Nascimento, Mueller-Quade and Imai (Phys. Rev.…

Quantum Physics · Physics 2009-11-10 Sudhir Kumar Singh , R. Srikanth

One of the key characteristics of secure quantum communication is quantum secure multiparty computation. In this paper, we propose a quantum secure multiparty summation (QSMS) protocol that can be applied to many complex quantum operations.…

Quantum Physics · Physics 2025-01-20 Kartick Sutradhar

Quantum secret sharing (QSS) is an essential primitive for the future quantum internet, which promises secure multiparty communication. However, developing a large-scale QSS network is a huge challenge due to the channel loss and the…

Quantum Physics · Physics 2021-09-24 Hua-Lei Yin , Jie Gu , Yuan-Mei Xie , Wen-Bo Liu , Yao Fu , Zeng-Bing Chen