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Secret sharing is a cryptographic scheme to encode a secret to multiple shares being distributed to participants, so that only qualified sets of participants can restore the original secret from their shares. When we encode a secret by a…

Quantum Physics · Physics 2024-04-25 Mamoru Shibata , Ryutaroh Matsumoto

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 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

In this paper we consider to use the quantum stabilizer codes as secret sharing schemes for classical secrets. We give necessary and sufficient conditions for qualified and forbidden sets in terms of quantum stabilizers. Then we give a…

Quantum Physics · Physics 2019-11-28 Ryutaroh Matsumoto

A new concept of quantum secret sharing is introduced, in which collaboration among participants are encourage. And the dealer can ask the participants to send back their share and revoke the secret before a predefined date or event, i.e.…

Quantum Physics · Physics 2024-09-13 Xiaogang Cheng , Ren Guo

Secret sharing, in which a dealer wants to split a secret in such a way that any unauthorized subset of parties is unable to reconstruct it, plays a key role in cryptography. The security of quantum protocols for the task is guaranteed by…

Quantum Physics · Physics 2017-10-10 Kejin Wei , Xiuqing Yang , Haiqiang Ma , Changhua Zhu

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 show a simple example of a secret sharing scheme encoding classical secret to quantum shares that can realize an access structure impossible by classical information processing with limitation on the size of each share. The example is…

Quantum Physics · Physics 2018-02-08 Ryutaroh Matsumoto

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

With the advantages of both classical and quantum secret sharing, many practical hybrid quantum secret sharing have been proposed. In this paper, we propose a hybrid quantum secret sharing scheme based on mutually unbiased bases and…

Quantum Physics · Physics 2020-06-24 Dan-Li Zhi , Zhu-Hui Li , Li-juan Liu , Zhao-Wei Han

In the paper [Quantum Inf. Process. 14, 4237-4244 (2015)], Qin and Dai proposed a proactive quantum secret sharing scheme. We study the security of the proposed scheme and find that it is not secure. In the distribution phase of the…

Quantum Physics · Physics 2016-07-29 Gan Gao

Secret sharing schemes based on the idea of hidden multipliers in encryption are proposed. As a platform, one can use both multiplicative groups of finite fields and groups of invertible elements of commutative rings, in particular,…

Cryptography and Security · Computer Science 2021-08-17 Vitaly Roman'kov

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

A resilient secret sharing scheme is supposed to generate the secret correctly even after some shares are damaged. In this paper, we show how quantum error correcting codes can be exploited to design a resilient quantum secret sharing…

Quantum Physics · Physics 2015-02-02 Arpita Maitra , Goutam Paul

We investigate quantum secret sharing schemes constructed from $[[n,k,\delta]]_D$ non-binary stabilizer quantum error correcting codes with carrier qudits of prime dimension $D$. We provide a systematic way of determining the access…

Quantum Physics · Physics 2012-05-16 Vlad Gheorghiu

A quantum key distribution scheme whose security depends on the features of pre- and post-selected quantum states is described.

Quantum Physics · Physics 2009-11-06 J. Bub

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

Secret sharing schemes are widely used now a days in various applications, which need more security, trust and reliability. In secret sharing scheme, the secret is divided among the participants and only authorized set of participants can…

Cryptography and Security · Computer Science 2014-06-24 V P Binu , A Sreekumar
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