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Privacy amplification is an indispensable step in the post-processing of quantum key distribution, which can be used to compress the redundancy of shared key and improve the security level of the key. The commonly used privacy amplification…

Quantum Physics · Physics 2021-09-16 Wei Li , Shengmei Zhao

We consider three broad classes of quantum secret sharing with and without eavesdropping and show how a graph state formalism unifies otherwise disparate quantum secret sharing models. In addition to the elegant unification provided by…

Quantum Physics · Physics 2011-01-18 Damian Markham , Barry C. Sanders

In this work, we investigate the problem of private statistical analysis in the distributed and semi-honest setting. In particular, we study properties of Private Stream Aggregation schemes, first introduced by Shi et al. \cite{2}. These…

Cryptography and Security · Computer Science 2015-07-30 Filipp Valovich , Francesco Aldà

In this work we present a new simple but efficient scheme - Subsquares approach - for development of algorithms for enclosing the solution set of overdetermined interval linear systems. We are going to show two algorithms based on this…

Numerical Analysis · Computer Science 2013-05-07 Jaroslav Horáček , Milan Hladík

Data outsourcing allows data owners to keep their data at \emph{untrusted} clouds that do not ensure the privacy of data and/or computations. One useful framework for fault-tolerant data processing in a distributed fashion is MapReduce,…

Databases · Computer Science 2019-08-07 Shlomi Dolev , Peeyush Gupta , Yin Li , Sharad Mehrotra , Shantanu Sharma

A resilient secret sharing scheme is supposed to generate the secret correctly even after some shares are damaged. In this paper, we show how quantum error correcting codes can be exploited to design a resilient quantum secret sharing…

Quantum Physics · Physics 2015-02-02 Arpita Maitra , Goutam Paul

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

Privacy-preserving techniques for distributed computation have been proposed recently as a promising framework in collaborative inter-domain network monitoring. Several different approaches exist to solve such class of problems, e.g.,…

Networking and Internet Architecture · Computer Science 2011-01-31 Fabio Ricciato , Martin Burkhart

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

Large-scale multi-agent cooperative control problems have materially enjoyed the scalability, adaptivity, and flexibility of decentralized optimization. However, due to the mandatory iterative communications between the agents and the…

Optimization and Control · Mathematics 2021-03-04 Xiang Huo , Mingxi Liu

We consider a distributed multi-user secret sharing (DMUSS) setting in which there is a dealer, $n$ storage nodes, and $m$ secrets. Each user demands a $t$-subset of $m$ secrets. Earlier work in this setting dealt with the case of $t=1$; in…

Information Theory · Computer Science 2024-01-09 Rasagna Chigullapally , Harshithanjani Athi , Nikhil Karamchandani , V. Lalitha

We study a method for key predistribution in a network of $n$ users where pairwise keys are computed by hashing users' IDs along with secret information that has been (pre)distributed to the network users by a trusted entity. A…

Cryptography and Security · Computer Science 2014-03-07 Maura B. Paterson , Douglas R. Stinson

Secure Multiparty Computation (MPC) can improve the security and privacy of data owners while allowing analysts to perform high quality analytics. Secure aggregation is a secure distributed mechanism to support federated deep learning…

Cryptography and Security · Computer Science 2022-05-04 Timothy Stevens , Joseph Near , Christian Skalka

An important parameter in a secret sharing scheme is the number of minimal qualified sets. Given this number, the universal access structure is the richest possible structure, namely the one in which there are one or more participants in…

Cryptography and Security · Computer Science 2019-08-15 Laszlo Csirmaz

In $(t, n)$-threshold secret sharing, a secret $S$ is distributed among $n$ participants such that any subset of size $t$ can recover $S$, while any subset of size $t-1$ or fewer learns nothing about it. For information-theoretic secret…

Information Theory · Computer Science 2025-06-23 Igor L. Aureliano , Alejandro Cohen , Rafael G. L. D'Oliveira

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

A computational secret-sharing scheme is a method that enables a dealer, that has a secret, to distribute this secret among a set of parties such that a "qualified" subset of parties can efficiently reconstruct the secret while any…

Cryptography and Security · Computer Science 2015-06-02 Ilan Komargodski , Moni Naor , Eylon Yogev

Imagine we want to split a group of agents into teams in the most \emph{efficient} way, considering that each agent has their own preferences about their teammates. This scenario is modeled by the extensively studied \textsc{Coalition…

Data Structures and Algorithms · Computer Science 2025-05-29 Foivos Fioravantes , Harmender Gahlawat , Nikolaos Melissinos

In this work we address the issue of sharing a quantum secret over untrusted channels between the dealer and players. Existing methods require entanglement over a number of systems which scales with the security parameter, quickly becoming…

Quantum Physics · Physics 2014-10-03 Anne Marin , Damian Markham

The motivation for extending secret sharing schemes to cases when either the set of players is infinite or the domain from which the secret and/or the shares are drawn is infinite or both, is similar to the case when switching to abstract…

Cryptography and Security · Computer Science 2013-10-29 Alexander Dibert , László Csirmaz