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Related papers: Quantum Strongly Secure Ramp Secret Sharing

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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

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 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

The first construction of strongly secure quantum ramp secret sharing by Zhang and Matsumoto had an undesirable feature that the dimension of quantum shares must be larger than the number of shares. By using algebraic curves over finite…

Quantum Physics · Physics 2019-04-04 Ryutaroh Matsumoto

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

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

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 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

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

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

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 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 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

The multiple assignment scheme is to assign one or more shares to single participant so that any kind of access structure can be realized by classical secret sharing schemes. We propose its quantum version including ramp secret sharing…

Quantum Physics · Physics 2017-02-06 Ryutaroh Matsumoto

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

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

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

In this paper, we investigate properties of some multi-particle entangled states and, from the properties applying the secret sharing present a new type of quantum key distribution protocols as generalization of quantum key distribution…

Quantum Physics · Physics 2007-05-23 Sora Choi , Jinsoo Kim , Dong Pyo Chi

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

Quantum information scrambling has emerged as a powerful tool for studying the dynamics of chaotic quantum many-body systems, assessing benchmarking protocols, and even investigating exotic black hole models. During quantum information…

Quantum Physics · Physics 2025-12-02 Kiran Adhikari
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