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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

Each member of an $n$-person team has a secret, say a password. The $k$ out of $n$ gruppen secret sharing requires that any group of $k$ members should be able to recover the secrets of the other $n-k$ members, while any group of $k-1$ or…

Cryptography and Security · Computer Science 2013-10-18 Laszlo Csirmaz

Verifying the quality of a random number generator involves performing computationally intensive statistical tests on large data sets commonly in the range of gigabytes. Limitations on computing power can restrict an end-user's ability to…

Much research has been conducted to securely outsource multiple parties' data aggregation to an untrusted aggregator without disclosing each individual's data, or to enable multiple parties to jointly aggregate their data while preserving…

Cryptography and Security · Computer Science 2015-11-23 Taeho Jung , XuFei Mao , Xiang-Yang Li , Shaojie Tang , Wei Gong , Lan Zhang

The security of communication in everyday life becomes very important. On the other hand, all existing encryption protocols require from user additional knowledge end resources. In this paper we discuss the problem of public key…

Cryptography and Security · Computer Science 2015-03-12 Krzysztof Podlaski , Artur Hłobaż , Piotr Milczarski

In this survey, we describe a general key exchange protocol based on semidirect product of (semi)groups (more specifically, on extensions of (semi)groups by automorphisms), and then focus on practical instances of this general idea. This…

Cryptography and Security · Computer Science 2016-04-21 Delaram Kahrobaei , Vladimir Shpilrain

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 Semi-Supervised Semi-Private (SP) learning, the learner has access to both public unlabelled and private labelled data. We propose a computationally efficient algorithm that, under mild assumptions on the data, provably achieves…

Machine Learning · Computer Science 2023-06-08 Francesco Pinto , Yaxi Hu , Fanny Yang , Amartya Sanyal

We investigate quantum state discrimination with confidentiality. $N$ observers share a given quantum state belonging to a finite set of known states. The observers want to determine the state as accurately as possible and send a…

Quantum Physics · Physics 2015-06-30 Kenji Nakahira , Tsuyoshi Sasaki Usuda , Kentaro Kato

Today, location-based applications and services such as friend finders and geo-social networks are very popular. However, storing private position information on third-party location servers leads to privacy problems. In our previous work,…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-02-28 Pavel Skvortsov , Björn Schembera , Frank Dürr , Kurt Rothermel

Nonlinear aggregation is central to modern distributed systems, yet its privacy behavior is far less understood than that of linear aggregation. Unlike linear aggregation where mature mechanisms can often suppress information leakage,…

Signal Processing · Electrical Eng. & Systems 2026-01-21 Wenrui Yu , Jaron Skovsted Gundersen , Richard Heusdens , Qiongxiu Li

Privacy preservation in distributed computations is an important subject as digitization and new technologies enable collection and storage of vast amounts of data, including private data belonging to individuals. To this end, there is a…

Cryptography and Security · Computer Science 2021-07-05 Katrine Tjell , Rafael Wisniewski

We present a new group law defined on a subset of the projective plane $\mathbb{F}P^2$ over an arbitrary field $\mathbb{F}$, which lends itself to applications in Public Key Cryptography, in particular to a Diffie-Hellman-like key agreement…

Cryptography and Security · Computer Science 2020-06-24 R. Durán Díaz , V. Gayoso Martínez , L. Hernández Encinas , J. Muñoz Masqué

We analyze tolerable quantum bit error rates in secret sharing protocols, and show that using entangled encoding states is advantageous in the case when the eavesdropping attacks are local. We also provide a criterion for security in secret…

Quantum Physics · Physics 2009-10-20 Rafal Demkowicz-Dobrzanski , Aditi Sen De , Ujjwal Sen , Maciej Lewenstein

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

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

In traditional runtime verification, a system is typically observed by a monolithic monitor. Enforcing privacy in such settings is computationally expensive, as it necessitates heavy cryptographic primitives. Therefore, privacy-preserving…

Cryptography and Security · Computer Science 2026-03-23 Mahyar Karimi , K. S. Thejaswini , Roderick Bloem , Thomas A. Henzinger

Insider trading is one of the numerous white collar crimes that can contribute to the instability of the economy. Traditionally, the detection of illegal insider trades has been a human-driven process. In this paper, we collect the insider…

Social and Information Networks · Computer Science 2017-02-21 Adarsh Kulkarni , Priya Mani , Carlotta Domeniconi

Research on data confidentiality, integrity and availability is gaining momentum in the ICT community, due to the intrinsically insecure nature of the Internet. While many distributed systems and services are now based on secure…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-01-17 Antonio Magnani , Gabriele D'Angelo , Stefano Ferretti , Moreno Marzolla

Higher form symmetry, one of the generalized symmetries, primarily involves the action of abelian groups. This is, due to the topological nature of symmetry defect operators. In this study, we extend the vector space (or vector bundle) in…

Mathematical Physics · Physics 2025-07-29 Natsuya Kido