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The problem of PIR in graph-based replication systems has received significant attention in recent years. A systematic study was conducted by Sadeh, Gu, and Tamo, where each file is replicated across two servers and the storage topology is…

Information Theory · Computer Science 2025-10-01 Gennian Ge , Hao Wang , Zixiang Xu , Yijun Zhang

We consider the problem of cache-aided multi-user private information retrieval (MuPIR). In this problem, $N$ independent files are replicated across $S \geq 2$ non-colluding servers. There are $K$ users, each equipped with cache memory…

Information Theory · Computer Science 2022-12-27 Kanishak Vaidya , B Sundar Rajan

We study the fundamental communication limits of information-theoretic secure aggregation in a hierarchical network consisting of a server, multiple relays, and multiple users per relay. Communication proceeds over two rounds and two hops,…

Information Theory · Computer Science 2026-03-23 Zhou Li , Yizhou Zhao , Xiang Zhang , Giuseppe Caire

Quantum private information retrieval (QPIR) for quantum messages is the protocol in which a user retrieves one of the multiple quantum states from one or multiple servers without revealing which state is retrieved. We consider QPIR in two…

Quantum Physics · Physics 2021-01-25 Seunghoan Song , Masahito Hayashi

We consider the problem of designing PIR scheme on coded data when certain nodes are unresponsive. We provide the construction of $\nu$-robust PIR schemes that can tolerate up to $\nu$ unresponsive nodes. These schemes are adaptive and…

Information Theory · Computer Science 2017-08-01 Razane Tajeddine , Salim El Rouayheb

A long line of research on secure computation has confirmed that anything that can be computed, can be computed securely using a set of non-colluding parties. Indeed, this non-collusion assumption makes a number of problems solvable, as…

Cryptography and Security · Computer Science 2025-09-09 Tiantian Gong , Ryan Henry , Alexandros Psomas , Aniket Kate

Private information retrieval protocols guarantee that a user can privately and losslessly retrieve a single file from a database stored across multiple servers. In this work, we propose to simultaneously relax the conditions of perfect…

Information Theory · Computer Science 2022-01-07 Yauhen Yakimenka , Hsuan-Yin Lin , Eirik Rosnes , Jörg Kliewer

The notion of a Private Information Retrieval (PIR) code was recently introduced by Fazeli, Vardy and Yaakobi who showed that this class of codes permit PIR at reduced levels of storage overhead in comparison with replicated-server PIR. In…

Information Theory · Computer Science 2017-03-20 Myna Vajha , Vinayak Ramkumar , P. Vijay Kumar

In the classical private information retrieval (PIR) setup, a user wants to retrieve a file from a database or a distributed storage system (DSS) without revealing the file identity to the servers holding the data. In the quantum PIR (QPIR)…

Information Theory · Computer Science 2021-05-11 Matteo Allaix , Lukas Holzbaur , Tefjol Pllaha , Camilla Hollanti

We consider the estimation of a signal from the knowledge of its noisy linear random Gaussian projections. A few examples where this problem is relevant are compressed sensing, sparse superposition codes, and code division multiple access.…

Information Theory · Computer Science 2020-08-31 Jean Barbier , Nicolas Macris , Mohamad Dia , Florent Krzakala

A $k$-server Private Information Retrieval (PIR) code is a binary linear $[m,s]$-code admitting a generator matrix such that for every integer $i$ with $1\le i\le s$ there exist $k$ disjoint subsets of columns (called recovery sets) that…

Information Theory · Computer Science 2021-07-05 Massimo Giulietti , Arianna Sabatini , Marco Timpanella

Blind interference alignment (BIA) refers to interference alignment schemes that are designed only based on channel coherence pattern knowledge at the transmitters (the "blind" transmitters do not know the exact channel values). Private…

Information Theory · Computer Science 2016-01-29 Hua Sun , Syed A. Jafar

We introduce the problem of random symmetric private information retrieval (RSPIR). In canonical PIR, a user downloads a message out of $K$ messages from $N$ non-colluding and replicated databases in such a way that no database can know…

Information Theory · Computer Science 2022-05-17 Zhusheng Wang , Sennur Ulukus

This paper introduces the problem of Private Information Retrieval with Reusable and Single-use Side Information (PIR-RSSI). In this problem, one or more remote servers store identical copies of a set of $K$ messages, and there is a user…

Information Theory · Computer Science 2022-01-28 Anoosheh Heidarzadeh , Alex Sprintson

We consider the setup of a constrained optimization problem with two agents $E_1$ and $E_2$ who jointly wish to learn the optimal solution set while keeping their feasible sets $\mathcal{P}_1$ and $\mathcal{P}_2$ private from each other.…

Information Theory · Computer Science 2023-12-05 Shreya Meel , Sennur Ulukus

Decentralized Pliable Index Coding (DPIC) problem addresses efficient information exchange in distributed systems where clients communicate among themselves without a central server. An important consideration in DPIC is the heterogeneity…

Information Theory · Computer Science 2026-02-04 Anjali Padmanabhan , Danya Arun Bindhu , Nujoom Sageer Karat , Shanuja Sasi

In the problem of cache-aided multiuser private information retrieval (MuPIR), a set of $K_{\rm u}$ cache-equipped users wish to privately download a set of messages from $N$ distributed databases each holding a library of $K$ messages. The…

Information Theory · Computer Science 2021-02-05 Xiang Zhang , Kai Wan , Hua Sun , Mingyue Ji , Giuseppe Caire

Private computation in a distributed storage system (DSS) is a generalization of the private information retrieval (PIR) problem. In such setting a user wishes to compute a function of $f$ messages stored in $n$ noncolluding coded…

Information Theory · Computer Science 2021-08-06 Sarah A. Obead , Hsuan-Yin Lin , Eirik Rosnes , Jörg Kliewer

In the era of extensive data growth, robust and efficient mechanisms are needed to store and manage vast amounts of digital information, such as Data Storage Systems (DSSs). Concurrently, privacy concerns have arisen, leading to the…

Quantum Physics · Physics 2023-12-14 Matteo Allaix

We consider the private information retrieval (PIR) problem for a multigraph-based replication system, where each set of $r$ files is stored on two of the servers according to an underlying $r$-multigraph. Our goal is to establish upper and…

Information Theory · Computer Science 2025-05-06 Shreya Meel , Xiangliang Kong , Thomas Jacob Maranzatto , Itzhak Tamo , Sennur Ulukus