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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

Group oriented applications are getting more and more popular in mobile Internet and call for secure and efficient secret sharing (SS) scheme to meet their requirements. A $(t,n)$ threshold SS scheme divides a secret into $n$ shares such…

Cryptography and Security · Computer Science 2021-04-13 Fuyou Miao , Yue Yu , Keju Meng , Wenchao Huang , Yan Xiong

A private shared Cartesian frame is a novel form of private shared correlation that allows for both private classical and quantum communication. Cryptography using a private shared Cartesian frame has the remarkable property that…

Quantum Physics · Physics 2007-05-23 Stephen D. Bartlett , Patrick Hayden , Robert W. Spekkens

Based on a quantum secure direct communication (QSDC) protocol [Phys. Rev. A69(04)052319], we propose a $(n,n)$-threshold scheme of multiparty quantum secret sharing of classical messages (QSSCM) using only single photons. We take advantage…

Quantum Physics · Physics 2011-02-19 Zhan-jun Zhang , Yong Li , Zhong-xiao Man

We investigate quantum secret sharing schemes constructed from $[[n,k,\delta]]_D$ non-binary stabilizer quantum error correcting codes with carrier qudits of prime dimension $D$. We provide a systematic way of determining the access…

Quantum Physics · Physics 2012-05-16 Vlad Gheorghiu

Confidentiality was and will always remain a critical need in the exchanges either between persons or the official parties. Recently, cryptology has made a jump, from classical form to the quantum one, we talk about quantum cryptography.…

Cryptography and Security · Computer Science 2013-09-18 Sadek Bouroubi , Fella Charchali , Nesrine Benyanhia Tani

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

Quantum cryptography is known for enabling functionalities that are unattainable using classical information alone. Recently, Secure Software Leasing (SSL) has emerged as one of these areas of interest. Given a target circuit $C$ from a…

Quantum Physics · Physics 2023-04-04 Anne Broadbent , Stacey Jeffery , Sébastien Lord , Supartha Podder , Aarthi Sundaram

Recent work has shown how to use the laws of quantum mechanics to keep classical and quantum bits secret in a number of different circumstances. Among the examples are private quantum channels, quantum secret sharing and quantum data…

Quantum Physics · Physics 2007-05-23 David P. DiVincenzo , Patrick Hayden , Barbara M. Terhal

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

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

In this paper we analyze the (im)possibility of the exact distinguishability of orthogonal multipartite entangled states under {\em restricted local operation and classical communication}. Based on this local distinguishability analysis we…

Quantum Physics · Physics 2015-05-19 Ramij Rahaman , Matthew G. Parker

We propose a decision procedure for analysing security of quantum cryptographic protocols, combining a classical algebraic rewrite system for knowledge with an operational semantics for quantum distributed computing. As a test case, we use…

Cryptography and Security · Computer Science 2008-08-28 Ellie D'Hondt , Mehrnoosh Sadrzadeh

Quantum key distribution, which allows two distant parties to share an unconditionally secure cryptographic key, promises to play an important role in the future of communication. For this reason such technique has attracted many…

We present the first leveled fully homomorphic encryption scheme for quantum circuits with classical keys. The scheme allows a classical client to blindly delegate a quantum computation to a quantum server: an honest server is able to run…

Quantum Physics · Physics 2023-12-11 Urmila Mahadev

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 secret sharing (QSS) is one of the basic communication primitives in future quantum networks which addresses part of the basic cryptographic tasks of multiparty communication and computation. Nevertheless, it is a challenge to…

Quantum Physics · Physics 2023-05-11 Ao Shen , Xiao-Yu Cao , Yang Wang , Yao Fu , Jie Gu , Wen-Bo Liu , Chen-Xun Weng , Hua-Lei Yin , Zeng-Bing Chen

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 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

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