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Secret sharing schemes for classical secrets can be classified into classical secret sharing schemes and quantum secret sharing schemes. Classical secret sharing has been known to be able to distribute some shares before a given secret. On…

Quantum Physics · Physics 2022-09-20 Rina Miyajima , Ryutaroh Matsumoto

In stabilizer-based quantum secret sharing schemes, it is known that some shares can be distributed to participants before a secret is given to the dealer. This distribution is known as advance sharing. It is already known that a set of…

Quantum Physics · Physics 2025-02-11 Mamoru Shibata

In some quantum secret sharing schemes, it is known that some shares can be distributed to participants before a secret is given to the dealer. However, it is unclear whether some shares can be distributed before a secret is given in the…

Quantum Physics · Physics 2025-02-06 Ryutaroh Matsumoto

The ramp quantum secret sharing proposed by Ogawa et al. has the highest possible coding rate given a threshold type access structure. On the other hand, in some quantum secret sharing schemes, it is known that some shares can be…

Quantum Physics · Physics 2024-04-25 Satoshi Masumori , Ryutaroh Matsumoto

Quantum secret sharing is a scheme for encoding a quantum state (the secret) into multiple shares and distributing them among several participants. If a sufficient number of shares are put together, then the secret can be fully…

Quantum Physics · Physics 2015-02-04 Paul Zhang , Ryutaroh Matsumoto

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

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 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

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

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

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

We propose here a quantum secret sharing scheme that works for both quantum and classical secrets. The proposed scheme is based on both entanglement swapping and teleportation together. It allows sender to encrypt his/her secret and…

Quantum Physics · Physics 2015-06-30 Muhammad Nadeem , Noor Ul Ain

Quantum key distribution is a cryptographic primitive for the distribution of symmetric encryption keys between two parties that possess a pre-shared secret. Since the pre-shared secret is a requirement, quantum key distribution may be…

Quantum Physics · Physics 2017-07-11 Alexander Ling , Christoph Wildfeuer , Valerio Scarani

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

We propose a quantum function secret sharing scheme in which the communication is exclusively classical. In this primitive, a classical dealer distributes a secret quantum circuit $C$ by providing shares to $p$ quantum parties. The parties…

Quantum Physics · Physics 2025-10-14 Alex B. Grilo , Ramis Movassagh

Quantum secret sharing (QSS) allows a dealer to distribute a secret quantum state among a set of parties so that certain subsets can reconstruct the secret, while unauthorized subsets obtain no information. While QSS was introduced over…

Quantum Physics · Physics 2023-05-02 Alper Çakan , Vipul Goyal , Chen-Da Liu-Zhang , João Ribeiro

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

Secret sharing is a procedure for splitting a message into several parts so that no subset of parts is sufficient to read the message, but the entire set is. We show how this procedure can be implemented using GHZ states. In the quantum…

Quantum Physics · Physics 2009-10-31 M. Hillery , V. Buzek , A. Berthiaume

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

Quantum secret sharing schemes are a family of quantum cryptographic protocols which provide secure quantum encodings, mapping one secret to multiple shares of information such that the original secret cannot be accessed without an…

Quantum Physics · Physics 2026-05-01 Varin Sikand , Andrew Nemec
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