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A corresponding comment, raised by Kao and Hwang, claims that the reconstructor Bob1 is unable to obtain the expected secret information in (t, n) Threshold d-level Quantum Secret Sharing (TDQSS)[Scientific Reports, Vol. 7, No. 1 (2017),…

Quantum Physics · Physics 2021-07-13 Chuang Li , Longwei Zhang , Xiuli Song

One crucial and basic method for disclosing a secret to every participant in quantum cryptography is quantum secret sharing. Numerous intricate protocols, including secure multiparty summation, multiplication, sorting, voting, and more, can…

Quantum Physics · Physics 2025-01-17 Kartick Sutradhar

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,…

Quantum Physics · Physics 2020-10-16 Sarbani Roy , Sourav Mukhopadhyay

We investigate the concept of quantum secret sharing. In a ((k,n)) threshold scheme, a secret quantum state is divided into n shares such that any k of those shares can be used to reconstruct the secret, but any set of k-1 or fewer shares…

Quantum Physics · Physics 2009-10-31 Richard Cleve , Daniel Gottesman , Hoi-Kwong Lo

This paper studies the capacity limits for quantum secret sharing (QSS). The goal of a QSS scheme is to distribute a quantum secret among multiple participants, such that only authorized parties can recover it through collaboration, while…

Quantum Physics · Physics 2026-04-28 Gabrielle Lalou , Husein Natur , Uzi Pereg

A (k,n)-threshold secret-sharing scheme allows for a string to be split into n shares in such a way that any subset of at least k shares suffices to recover the secret string, but such that any subset of at most k-1 shares contains no…

Quantum Physics · Physics 2017-12-06 Yingkai Ouyang , Si-Hui Tan , Liming Zhao , Joseph F. Fitzsimons

An important metric of the performance of a quantum secret sharing scheme is its information rate. Beyond the fact that the information rate is upper bounded by one, very little is known in terms of bounds on the information rate of quantum…

Quantum Physics · Physics 2011-04-22 Pradeep Sarvepalli

Secret sharing of a quantum state, or quantum secret sharing, in which a dealer wants to share certain amount of quantum information with a few players, has wide applications in quantum information. The critical criterion in a threshold…

Quantum Physics · Physics 2016-07-20 He Lu , Zhen Zhang , Luo-Kan Chen , Zheng-Da Li , Chang Liu , Li Li , Nai-Le Liu , Xiongfeng Ma , Yu-Ao Chen , Jian-Wei Pan

We show that, using Wang et al. attack [T.-y. Wang, Q.-y. Wen, F. Gao, S. Lin, F.-c. Zhu, Phys. Lett. A 373 (2008) 65], the first agent and the last agent cannot eavesdrop all the secret messages in Zhang et al. QSSCM scheme [Z.-j. Zhang,…

Quantum Physics · Physics 2011-07-25 Gan Gao

A (t,n)-threshold secret sharing scheme is a method to distribute a secret among n participants in such a way that any t participants can recover the secret, but no t-1 participants can. In this paper, we propose two secret sharing schemes…

Cryptography and Security · Computer Science 2012-05-02 Maggie Habeeb , Delaram Kahrobaei , Vladimir Shpilrain

A ($t$, $n$) threshold quantum secret sharing (QSS) is proposed based on a single $d$-level quantum system. It enables the ($t$, $n$) threshold structure based on Shamir's secret sharing and simply requires sequential communication in…

Quantum Physics · Physics 2018-10-10 Changbin Lu , Fuyou Miao , Junpeng Hou , Keju Meng

Quantum secret sharing is a method for sharing a secret quantum state among a number of individuals such that certain authorized subsets of participants can recover the secret shared state by collaboration and other subsets cannot. In this…

Quantum Physics · Physics 2019-03-19 Roozbeh Bassirian , Sadra Boreiri , Vahid Karimipour

In quantum cryptography, quantum secret sharing $(QSS)$ is a fundamental primitive. $QSS$ can be used to create complex and secure multiparty quantum protocols. Existing $QSS$ protocols are either at the $(n, n)$ threshold $2$ level or at…

Cryptography and Security · Computer Science 2021-03-23 Kartick Sutradhar , Hari Om

Quantum secret sharing schemes encrypting a quantum state into a multipartite entangled state are treated. The lower bound on the dimension of each share given by Gottesman [Phys. Rev. A \textbf{61}, 042311 (2000)] is revisited based on a…

Quantum Physics · Physics 2009-11-11 Tomohiro Ogawa , Akira Sasaki , Mitsugu Iwamoto , Hirosuke Yamamoto

Quantum secret sharing is an encryption technique based on quantum mechanics, which utilizes uncertainty principle to achieve security in transmission. Most protocols focus on the study of quantum ($n,n$) or ($t,n$) threshold single secret…

Quantum Physics · Physics 2025-05-15 Rui-Hai Ma , Hui-Nan Chen , Bin-Bin Cai , Song Lin , Xiao-Chen Zhang

Recently, Li et al. [Phys. Rev. A, 82(2), 022303] presented two semi-quantum secret sharing (SQSS) protocols using GHZ-like states. The proposed schemes are rather practical because only the secret dealer requires to equip with advanced…

Quantum Physics · Physics 2011-11-10 Jason Lin , Chun-Wei Yang , Chia-Wei Tsai , Tzonelih Hwang

Quantum protocols for secret sharing usually rely on multi-party entanglement which with present technology is very difficult to achieve. Recently it has been shown that sequential manipulation and communication of a single $d-$ level state…

Quantum Physics · Physics 2015-11-11 Vahid Karimipour , Marzieh Asoudeh

In a recent comment, it has been shown that in a quantum secret sharing protocol proposed in [S. Bagherinezhad, V. Karimipour, Phys. Rev. {\bf A}, 67, 044302, (2003)], one of the receivers can cheat by splitting the entanglement of the…

Quantum Physics · Physics 2009-11-13 V. Karimipour

Security of the three-party quantum secret sharing (QSS) schemes based on entanglement and a collective eavesdropping check is analyzed in the case of considerable quantum channel losses. An opaque attack scheme is presented for the…

Quantum Physics · Physics 2007-05-23 Fu-Guo Deng , Xi-Han Li , Hong-Yu Zhou

In a conventional quantum (k,n) threshold scheme, a trusted party shares a secret quantum state with n participants such that any k of those participants can cooperate to recover the original secret, while fewer than k participants obtain…

Quantum Physics · Physics 2010-04-13 Qin Li , Dong-Yang Long , W. H. Chan , Dao-Wen Qiu
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