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We give an example of a wide class of problems for which quantum information protocols based on multi-system entanglement can be mapped into much simpler ones involving one system. Secret sharing is a cryptographic primitive which plays a…

Quantum Physics · Physics 2016-03-09 Armin Tavakoli , Isabelle Herbauts , Marek Zukowski , Mohamed Bourennane

We consider the problem of secure identification: user U proves to server S that he knows an agreed (possibly low-entropy) password w, while giving away as little information on w as possible, namely the adversary can exclude at most one…

Quantum Physics · Physics 2009-08-05 Ivan Damgaard , Serge Fehr , Louis Salvail , Christian Schaffner

A protocol for multiparty quantum secret splitting is proposed with an ordered $N$ EPR pairs and Bell state measurements. It is secure and has the high intrinsic efficiency and source capacity as almost all the instances are useful and each…

Quantum Physics · Physics 2007-05-23 Fu-Guo Deng , Xi-Han Li , Chun-Yan Li , Ping Zhou , Hong-Yu Zhou

Two tripartite schemes are put forward with shared entanglements and LOCC for sharing an operation on a remote target sate. The first scheme uses a Bell and a symmetric W states as quantum channels, while the second replaces the symmetric W…

Quantum Physics · Physics 2013-04-30 Qibin Jia , Yimin Liub , Xiansong Liua , Xiaofeng Yina , Zhanjun Zhang

Quantum key distribution (QKD) allows Alice and Bob to share a secret key over an insecure channel with proven information-theoretic security against an adversary whose strategy is bounded only by the laws of physics. Composability-based…

Quantum Physics · Physics 2026-01-21 Kunal Dey , Reihaneh Safavi-Naini

Quantum entanglement plays a pivotal role in many communication protocols, like secret sharing and quantum cryptography. We consider a scenario where more than two parties are involved in a protocol and share a multipartite entangled state.…

Quantum Physics · Physics 2020-05-06 Arpan Das , Sumit Nandi , Sk Sazim , Pankaj Agrawal

Quantum key distribution (QKD) is a provably secure way for two distant parties to establish a common secret key, which then can be used in a classical cryptographic scheme. Using quantum entanglement, one can reduce the necessary…

Quantum Physics · Physics 2016-08-10 E. A. Aguilar , R. Ramanathan , J. Kofler , M. Pawlowski

Recently, an information theoretical model for Quantum Secret Sharing (QSS) schemes was introduced. By using this model, we prove that pure state Quantum Threshold Schemes (QTS) can be constructed from quantum MDS codes and vice versa. In…

Quantum Physics · Physics 2018-02-13 Karin Rietjens , Berry Schoenmakers , Pim Tuyls

In this paper, a renewable, multi-use, multi-secret sharing scheme for general access structure based on one-way collision resistant hash function is presented in which each participant has to carry only one share. By applying…

Cryptography and Security · Computer Science 2019-07-09 Angsuman Das , Avishek Adhikari

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

This paper develops a novel framework for sharing secret keys using existing Automatic Repeat reQuest (ARQ) protocols. Our approach exploits the multi-path nature of the wireless environment to hide the key from passive eavesdroppers. The…

Information Theory · Computer Science 2008-10-09 Mohamed Abdel Ghany , Ahmed Sultan , Hesham El Gamal

This paper presents a new scheme to distribute secret shares using two trusted third parties to increase security and eliminate the dependency on single trusted third party. This protocol for communication between a device and two trusted…

Cryptography and Security · Computer Science 2016-08-19 Adnan Memon

We ask how quantum correlations can be distributed among many subsystems. To address this, we define entanglement sharing schemes (ESS) where certain pairs of subsystems allow entanglement to be recovered via local operations, while other…

A fully homomorphic encryption system hides data from unauthorized parties, while still allowing them to perform computations on the encrypted data. Aside from the straightforward benefit of allowing users to delegate computations to a more…

This article bridges the gap between two topics used in sharing an encryption key: (i) Key Consolidation, i.e., extracting two identical strings of bits from two information sources with similarities (common randomness). (ii) Quantum-safe…

Cryptography and Security · Computer Science 2024-01-31 Amir K. Khandani

In extant quantum secret sharing protocols, once the secret is shared in a quantum network (\textsc{qnet}) it can not be retrieved back, even if the dealer wishes that her secret no longer be available in the network. For instance, if the…

Quantum Physics · Physics 2015-12-23 Sk Sazim , Chiranjeevi Vanarasa , Indranil Chakrabarty , Kannan Srinathan

In contemporary cryptographic systems, secret keys are usually exchanged by means of methods, which suffer from mathematical and technology inherent drawbacks. That could lead to unnoticed complete compromise of cryptographic systems,…

Quantum Physics · Physics 2009-04-28 Solange Ghernaouti-Helie , Igli Tashi , Thomas Laenger , Christian Monyk

We consider schemes for secret key distribution which use as a resource correlations that violate Bell inequalities. We provide the first security proof for such schemes, according to the strongest notion of security, the so called…

Quantum Physics · Physics 2013-05-29 Lluis Masanes

Quantum secret sharing (QSS) is an important branch of secure multiparty quantum computation. Several schemes for $(n, n)$ threshold QSS based on quantum Fourier transformation (QFT) have been proposed. Inspired by the flexibility of $(t,…

Quantum Physics · Physics 2020-10-16 Sarbani Roy , Sourav Mukhopadhyay

In this paper, we study an information-theoretic secret sharing problem, where a dealer distributes shares of a secret among a set of participants under the following constraints: (i) authorized sets of users can recover the secret by…

Information Theory · Computer Science 2021-11-15 Vidhi Rana , Remi A. Chou , Hyuck Kwon
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