English
Related papers

Related papers: Access structure in graphs in high dimension and a…

200 papers

We introduce a new multiparty cryptographic protocol, which we call `entanglement sharing schemes', wherein a dealer retains half of a maximally-entangled bipartite state and encodes the other half into a multipartite state that is…

Quantum Physics · Physics 2013-03-18 Ran Hee Choi , Ben Fortescue , Gilad Gour , Barry C. Sanders

We consider a secret sharing setting with a monotone access structure involving a control node and $L$ users, connected via a classical-quantum broadcast channel whose input is controlled by the control node, referred to as the dealer.…

Information Theory · Computer Science 2026-04-03 Truman Welling , Rémi A. Chou , Aylin Yener

We present a general scheme for sharing quantum secrets, and an extension to sharing classical secrets, which contain all known quantum secret sharing schemes. In this framework we show the equivalence of existence of both schemes, that is,…

Quantum Physics · Physics 2015-06-05 Anne Marin , Damian Markham

We introduce a family of QKD protocols for distributing shared random keys within a network of $n$ users. The advantage of these protocols is that any possible key structure needed within the network, including broadcast keys shared among…

Quantum Physics · Physics 2018-03-21 Matej Pivoluska , Marcus Huber , Mehul Malik

We present two new schemes for quantum key distribution (QKD) that neither require entanglement nor an ideal single-photon source, making them implementable with commercially available single-photon sources. These protocols are shown to be…

Quantum Physics · Physics 2025-05-13 Arindam Dutta , Anirban Pathak

We propose a schematic setup of quantum key distribution (QKD) with an improved secret key rate based on high-dimensional quantum states. Two degrees-of-freedom of a single photon, orbital angular momentum modes, and multi-path modes, are…

Quantum Physics · Physics 2019-01-29 Yonggi Jo , Hee Su Park , Seung-Woo Lee , Wonmin Son

We develop a connection between tripartite information $I_3$, secret sharing protocols and multi-unitaries. This leads to explicit ((2,3)) threshold schemes in arbitrary dimension minimizing tripartite information $I_3$. As an application…

Quantum Physics · Physics 2020-12-17 Marius Junge , Chloe Kim , Guangkuo Liu , Peixue Wu

We introduce a mapping between graphs and pure quantum bipartite states and show that the associated entanglement entropy conveys non-trivial information about the structure of the graph. Our primary goal is to investigate the family of…

Quantum Physics · Physics 2012-02-24 Silvano Garnerone , Paolo Giorda , Paolo Zanardi

In an on-line secret sharing scheme the dealer assigns shares in the order the participants show up, knowing only those qualified subsets whose all members she has seen. We assume that the overall access structure is known and only the…

Information Theory · Computer Science 2014-02-07 Laszlo Csirmaz , Gábor Tardos

Quantum secret sharing is an encryption technique based on quantum mechanics, which utilizes uncertainty principle to achieve security in transmission. Most protocols focus on the study of quantum ($n,n$) or ($t,n$) threshold single secret…

Quantum Physics · Physics 2025-05-15 Rui-Hai Ma , Hui-Nan Chen , Bin-Bin Cai , Song Lin , Xiao-Chen Zhang

Consider the Grassmann graph formed by $k$-dimensional subspaces of an $n$-dimensional vector space over the field of $q$ elements ($1<k<n-1$) and denote by $\Pi(n,k)_q$ the restriction of this graph to the set of projective $[n,k]_q$…

Combinatorics · Mathematics 2018-01-01 Mariusz Kwiatkowski , Mark Pankov , Antonio Pasini

A general proof of the security against eavesdropping of a previously introduced protocol for two-party quantum key distribution based on entanglement swapping [Phys. Rev. A {\bf 61}, 052312 (2000)] is provided. In addition, the protocol is…

Quantum Physics · Physics 2007-05-23 Adan Cabello

Secret sharing provides a means to distribute shares of a secret such that any authorized subset of shares, specified by an access structure, can be pooled together to recompute the secret. The standard secret sharing model requires public…

Cryptography and Security · Computer Science 2021-05-25 Vipin Singh Sehrawat , Yvo Desmedt

I study two privacy-preserving social network graphs to dis- close the types of relationships of connecting edges and provide flexible multigrained access control. To create such graphs, my schemes employ the concept of secretaries and…

Social and Information Networks · Computer Science 2014-04-03 YounSun Cho

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

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 present protocols for multiparty data hiding of quantum information that implement all possible threshold access structures. Closely related to secret sharing, data hiding has a more demanding security requirement: that the data remain…

Quantum Physics · Physics 2007-05-23 Patrick Hayden , Debbie Leung , Graeme Smith

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

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

An information theoretical model for quantum secret sharing was introduced by A. C. A. Nascimento et al.[Quantum Inf. Comput. Vol.5,1,205,68-79(2003)], which was analyzed by quantum information theory. In this paper, we analyze this…

Quantum Physics · Physics 2016-08-24 Chen-Ming Bai , Zhi-Hui Li , Ting-Ting Xu , Yong-Ming Li