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Secret sharing allows a trusted party (the dealer) to distribute a secret to a group of players, who can only access the secret cooperatively. Quantum secret sharing (QSS) protocols could provide unconditional security based on fundamental…

Quantum Physics · Physics 2019-09-04 Warren P. Grice , Bing Qi

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

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

A secret sharing scheme is a cryptographic protocol to distribute a secret state in an encoded form among a group of players such that only authorized subsets of the players can reconstruct the secret. Classically, efficient secret sharing…

Quantum Physics · Physics 2010-07-08 Pradeep Sarvepalli , Robert Raussendorf

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

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

In search of a quantum key distribution scheme that could stand up for more drastic eavesdropping attack, I discover a prepare-and-measure scheme using $N$-dimensional quantum particles as information carriers where $N$ is a prime power.…

Quantum Physics · Physics 2007-05-23 H. F. Chau

In this work, we present a quantum secret sharing scheme based on Bell state entanglement and sequential projection measurements. The protocol verifies the $n$ out of $n$ scheme and supports the aborting of the protocol in case all the…

Quantum Physics · Physics 2020-08-17 Farhan Musanna , Sanjeev Kumar

In this paper, a semiquantum secret sharing (SQSS) protocol based on x-type states is proposed, which can accomplish the goal that only when two classical communicants cooperate together can they extract the shared secret key of a quantum…

Quantum Physics · Physics 2022-12-13 Ying Chen , Tian-Yu Ye

We present a simple new technique to secure quantum key distribution relay networks using secret sharing. Previous techniques have relied on creating distinct physical paths in order to create the shares. We show, however, how this can be…

Quantum Physics · Physics 2016-11-17 Stephen M. Barnett , Simon J. D. Phoenix

We propose a new scheme for quantum secret sharing (QSS) that uses a modulated high-dimensional time-bin entanglement. By modulating the relative phase randomly by {0,pi}, a sender with the entanglement source can randomly change the sign…

Quantum Physics · Physics 2009-11-13 Hiroki Takesue , Kyo Inoue

We consider three broad classes of quantum secret sharing with and without eavesdropping and show how a graph state formalism unifies otherwise disparate quantum secret sharing models. In addition to the elegant unification provided by…

Quantum Physics · Physics 2011-01-18 Damian Markham , Barry C. Sanders

We consider secret sharing schemes with a classical secret and quantum shares. One example of such schemes was recently reported whose access structure cannot be realized by any secret sharing schemes with classical shares. In this paper,…

Quantum Physics · Physics 2019-04-11 Ryutaroh Matsumoto

We present a setup for quantum secret sharing using pseudo-GHZ states based on energy-time entanglement. In opposition to true GHZ states, our states do not enable GHZ-type tests of nonlocality, however, they bare the same quantum…

Quantum Physics · Physics 2007-05-23 W. Tittel , H. Zbinden , N. Gisin

In TCSS (Threshold Changeable Secret Sharing) scheme, the threshold can be changed to deal with share leakage in the long term. But in classical TCSS, there is no guarantee that old shares are deleted even if the participated parties are…

Quantum Physics · Physics 2022-09-07 Xiaogang Cheng , Ren Guo , Changli Zhou

We demonstrate a new construction for perfect quantum secret sharing (QSS) schemes based on imperfect "ramp" secret sharing combined with classical encryption, in which the individual parties' shares are split into quantum and classical…

Quantum Physics · Physics 2012-11-12 Ben Fortescue , Gilad Gour

We introduce a new family of quantum secret sharing protocols with limited quantum resources which extends the protocols proposed by Markham and Sanders and by Broadbent, Chouha, and Tapp. Parametrized by a graph G and a subset of its…

Quantum Physics · Physics 2016-10-11 Jérôme Javelle , Mehdi Mhalla , Simon Perdrix

Group oriented applications are getting more and more popular in mobile Internet and call for secure and efficient secret sharing (SS) scheme to meet their requirements. A $(t,n)$ threshold SS scheme divides a secret into $n$ shares such…

Cryptography and Security · Computer Science 2021-04-13 Fuyou Miao , Yue Yu , Keju Meng , Wenchao Huang , Yan Xiong

In this paper, we give the mutually unbiased bases on the p^2 -dimensional quantum system where p is an odd prime number, and construct the corresponding unitary transformation based on the properties of these mutually unbiased bases. Then,…

Quantum Physics · Physics 2018-01-19 Na Hao , Zhi-Hui Li , Hai-Yan Bai , Chen-Ming Bai

We study the connection between quantum secret sharing (QSS) schemes and $k$-uniform states of qubits beyond the equivalence between threshold QSS schemes and AME states. Specifically, we focus on homogeneous access structures and show that…

Quantum Physics · Physics 2025-10-10 Xuhong Liu , Shuai Shao