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Related papers: Graph States for Quantum Secret Sharing

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We present a unified formalism for threshold quantum secret sharing using graph states of systems with prime dimension. We construct protocols for three varieties of secret sharing: with classical and quantum secrets shared between parties…

Quantum Physics · Physics 2010-12-22 Adrian Keet , Ben Fortescue , Damian Markham , Barry C. Sanders

Distributed quantum communication and quantum computing offer many new opportunities for quantum information processing. Here networks based on highly nonlocal quantum resources with complex entanglement structures have been proposed for…

Quantum Physics · Physics 2014-11-24 B. A. Bell , D. Markham , D. A. Herrera-Martí , A. Marin , W. J. Wadsworth , J. G. Rarity , M. S. Tame

In a recent work, Markham and Sanders have proposed a framework to study quantum secret sharing (QSS) schemes using graph states. This framework unified three classes of QSS protocols, namely, sharing classical secrets over private and…

Quantum Physics · Physics 2012-10-30 Pradeep Sarvepalli

Graph states are an important class of multipartite entangled quantum states. We propose a new approach for distributing graph states across a quantum network. We consider a quantum network consisting of nodes-quantum computers within which…

Quantum Physics · Physics 2025-12-09 Alex Fischer , Don Towsley

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

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

Graph states are a large class of multipartite entangled quantum states that form the basis of schemes for quantum computation, communication, error correction, metrology, and more. In this work, we consider verification of graph states…

Quantum Physics · Physics 2022-05-16 Anupama Unnikrishnan , Damian Markham

Quantum secret sharing allows each player to have classical information for secret sharing in quantum mechanical ways. In this work, we construct a class of quantum states on which players can quantumly perform secret sharing secure against…

Quantum Physics · Physics 2021-02-03 Minjin Choi , Soojoon Lee

We study a simple graph-based classical secret sharing scheme: every player's share consists of a random key together with the encryption of the secret with the keys of his neighbours. A characterisation of the authorised and forbidden sets…

Quantum Physics · Physics 2011-09-23 Jérôme Javelle , Mehdi Mhalla , Simon Perdrix

The entangled graph states have emerged as an elegant and powerful quantum resource, indeed almost all multiparty protocols can be written in terms of graph states including measurement based quantum computation (MBQC), error correction and…

Quantum Physics · Physics 2009-11-13 Elham Kashefi , Damian Markham , Mehdi Mhalla , Simon Perdrix

Quantum networks are important for quantum communication, enabling tasks such as quantum teleportation, quantum key distribution, quantum sensing, and quantum error correction, often utilizing graph states, a specific class of multipartite…

Quantum Physics · Physics 2025-11-19 Aniruddha Sen , Kenneth Goodenough , Don Towsley

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

Quantum graph state is a special class of nonlocal state among multiple quantum particles, underpinning several nonclassical and promising applications such as quantum computing and quantum secret sharing. Recently, establishing quantum…

Quantum Physics · Physics 2025-08-14 Tingxiang Ji , Jianqing Liu , Zheshen Zhang

A fundamental problem in quantum information is to describe efficiently multipartite quantum states. An efficient representation in terms of graphs exists for several families of quantum states (graph, cluster, stabilizer states),…

Quantum Physics · Physics 2012-07-04 Radu Ionicioiu , Tim P. Spiller

Quantum protocols for secret sharing usually rely on multi-party entanglement which with present technology is very difficult to achieve. Recently it has been shown that sequential manipulation and communication of a single $d-$ level state…

Quantum Physics · Physics 2015-11-11 Vahid Karimipour , Marzieh Asoudeh

We present two quantum state sharing protocols where the channels are not maximally entangled states. By properly choosing the measurement basis it is possible to achieve unity fidelity transfer of the state if the parties collaborate. We…

Quantum Physics · Physics 2009-11-13 Goren Gordon , Gustavo Rigolin

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 multipartite protocol to securely distribute and reconstruct a quantum state. A secret quantum state is encoded into a tripartite entangled state and distributed to three players. Any two of the three players are able to…

Quantum Physics · Physics 2009-11-10 Andrew M. Lance , Thomas Symul , Warwick P. Bowen , Barry C. Sanders , Ping Koy Lam

Graph states are a class of important multiparty entangled states, of which bell pairs are the special case. Realizing a robust and fast distribution of arbitrary graph states in the downstream layer of the quantum network can be essential…

Quantum Physics · Physics 2025-06-09 Yuexun Huang , Xiangyu Ren , Bikun Li , Yat Wong , Zhiding Liang , Liang Jiang

Graph state verification protocols allow multiple parties to share a graph state while checking that the state is honestly prepared, even in the presence of malicious parties. Since graph states are the starting point of numerous quantum…

Quantum Physics · Physics 2024-02-05 Léo Colisson , Damian Markham , Raja Yehia
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