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In a conventional quantum (k,n) threshold scheme, a trusted party shares a secret quantum state with n participants such that any k of those participants can cooperate to recover the original secret, while fewer than k participants obtain…

Quantum Physics · Physics 2010-04-13 Qin Li , Dong-Yang Long , W. H. Chan , Dao-Wen Qiu

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

We study the arithmetic circuit complexity of threshold secret sharing schemes by characterizing the graph-theoretic properties of arithmetic circuits that compute the shares. Using information inequalities, we prove that any unrestricted…

Computational Complexity · Computer Science 2026-03-02 Yuan Li

Quantum secret sharing (QSS) is a protocol to split a message into several parts so that no subset of parts is sufficient to read the message, but the entire set is. In the scheme, three parties Alice, Bob and Charlie first share a…

Quantum Physics · Physics 2007-05-23 Yu-Ao Chen , An-Ning Zhang , Zhi Zhao , Xiao-Qi Zhou , Chao-Yang Lu , Cheng-Zhi Peng , Tao Yang , Jian-Wei Pan

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 present a setup for quantum secret sharing using pseudo-GHZ states based on energy-time entanglement. In opposition to true GHZ states, our states do not enable GHZ-type tests of nonlocality, however, they bare the same quantum…

Quantum Physics · Physics 2007-05-23 W. Tittel , H. Zbinden , N. Gisin

A generalization of quantum broadcasting protocol is presented. Here the goal is to copy an unknown input state into two subsystems which partially overlap. We show that the possibility of implementing these protocols strongly depends upon…

Quantum Physics · Physics 2008-07-10 V. Giovannetti , A. S. Holevo

Quantum secret-sharing protocols involving N partners (NQSS) are key distribution protocols in which Alice encodes her key into $N-1$ qubits, in such a way that all the other partners must cooperate in order to retrieve the key. On these…

Quantum Physics · Physics 2009-11-07 Valerio Scarani , Nicolas Gisin

How to construct an ideal multi-secret sharing scheme for general access structures is difficult. In this paper, we solve an open problem proposed by Spiez et al.recently [Finite Fields and Their Application, 2011(17) 329-342], namely to…

Cryptography and Security · Computer Science 2012-12-27 Yun Song , Zhihui Li

In recent times, secure quantum communication in layered networks has emerged as an important area of study. In this paper, we harness the potential offered by multidimensional states in secure quantum communication with only one quantum…

Quantum Physics · Physics 2023-10-31 Rajni Bala , Sooryansh Asthana , V. Ravishankar

Quantum secret sharing schemes encrypting a quantum state into a multipartite entangled state are treated. The lower bound on the dimension of each share given by Gottesman [Phys. Rev. A \textbf{61}, 042311 (2000)] is revisited based on a…

Quantum Physics · Physics 2009-11-11 Tomohiro Ogawa , Akira Sasaki , Mitsugu Iwamoto , Hirosuke Yamamoto

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

We investigate schemes for quantum secret sharing and quantum dense coding via tripartite entangled states. We present a scheme for sharing classical information via entanglement swapping using two tripartite entangled GHZ states. In order…

Quantum Physics · Physics 2009-11-11 Zheng-Yuan Xue , You-Min Yi , Zhuo-Liang Cao

To detect frauds from some internal participants or external attackers, some verifiable threshold quantum secret sharing schemes have been proposed. In this paper, we present a new verifiable threshold structure based on a single qubit…

Cryptography and Security · Computer Science 2020-12-02 Dan-Li Zhi , Zhi-Hui Li , Zhao-Wei Han , Li-Juan Liu

Quantum key distribution (QKD) offers a way for establishing information-theoretically secure communications. An important part of QKD technology is a high-quality random number generator (RNG) for quantum states preparation and for…

Quantum Physics · Physics 2018-01-24 A. S. Trushechkin , P. A. Tregubov , E. O. Kiktenko , Y. V. Kurochkin , A. K. Fedorov

A quantum cryptographic protocol based in public key cryptography combinations and private key cryptography is presented. Unlike the BB84 protocol [1] and its many variants [2,3] two quantum channels are used. The present research does not…

Quantum Physics · Physics 2012-05-15 Eduin H. Serna

Ouyang et al. proposed an $(n,n)$ threshold quantum secret sharing scheme, where the number of participants is limited to $n=4k+1,k\in Z^+$, and the security evaluation of the scheme was carried out accordingly. In this paper, we propose an…

Quantum Physics · Physics 2018-11-14 Hai-Yan Bai , Zhi-Hui Li , Na Hao

We propose a protocol for secret sharing, called dual quantum information splitting (DQIS), that reverses the roles of state and channel in standard quantum information splitting. In this method, a secret is shared via teleportation of a…

Quantum Physics · Physics 2013-02-05 Akshata Shenoy H. , R. Srikanth , T. Srinivas

We propose a quantum secret sharing protocol between multi-party ($m$ members in group 1) and multi-party ($n$ members in group 2) using a sequence of single photons. These single photons are used directly to encode classical information in…

Quantum Physics · Physics 2007-05-23 Feng-Li Yan , Ting Gao

Secret sharing allows three or more parties to share secret information which can only be decrypted through collaboration. It complements quantum key distribution as a valuable resource for securely distributing information. Here we take…

Quantum Physics · Physics 2020-07-16 Michael de Oliveira , Isaac Nape , Jonathan Pinnell , Najmeh TabeBordbar , Andrew Forbes
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