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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 define a kind of decomposition for a quantum access structure. We propose a conception of minimal maximal quantum access structure and obtain a sufficient and necessary condition for minimal maximal quantum access…

Quantum Physics · Physics 2017-01-17 Chen-Ming Bai , Zhi-Hui Li , Yong-Ming Li

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

It is known that for any general access structure, a secret sharing scheme (SSS) can be constructed from an (m,m)-threshold scheme by using the so-called cumulative map or from a (t,m)-threshold SSS by a modified cumulative map. However,…

Cryptography and Security · Computer Science 2007-07-13 Mitsugu Iwamoto , Hirosuke Yamamoto , Hirohisa Ogawa

Multi-secret sharing is an extension of secret sharing technique where several secrets are shared between the participants, each according to a specified access structure. The secrets can be reconstructed according to the access structure…

Cryptography and Security · Computer Science 2014-07-25 V. P. Binu , A. Sreekumar

We construct general schemes for multi-partite quantum secret sharing using multi-level systems, and find that the consistent conditions for valid measurements can be summarized in two simple algebraic conditions. The scheme using the very…

Quantum Physics · Physics 2015-07-22 I-Ching Yu , Feng-Li Lin , Ching-Yu Huang

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

Traditional threshold secret sharing cannot realizing all access structures of secret sharing. So, Ito introduced the concept of Secret sharing scheme realizing general access structure. But Its scheme has to send multiple shares to each…

Cryptography and Security · Computer Science 2022-09-09 Yang Xie , Sijjad Ali Khuhro , Fuyou Miao , Keju Meng

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

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 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

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 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

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

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

I present a variety of results on the theory of quantum secret sharing. I show that any mixed state quantum secret sharing scheme can be derived by discarding a share from a pure state scheme, and that the size of each share in a quantum…

Quantum Physics · Physics 2009-10-31 Daniel Gottesman

A probabilistic secret sharing scheme is a joint probability distribution of the shares and the secret together with a collection of secret recovery functions. The study of schemes using arbitrary probability spaces and unbounded number of…

Cryptography and Security · Computer Science 2022-10-25 László Csirmaz

Secret sharing is a method of dividing a secret among n par- ticipants and allows only qualified subset to reconstruct the secret and hence provides better reliability and availability of secret data.In the generalized secret sharing…

Cryptography and Security · Computer Science 2014-07-15 V P Binu , A Sreekumar

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 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
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