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Low degree Reed-Muller codes are known to satisfy local decoding properties which find applications in private information retrieval (PIR) protocols, for instance. However, their practical instantiation encounters a first barrier due to…

Information Theory · Computer Science 2019-04-19 Julien Lavauzelle , Jade Nardi

We consider the problem of multi-access cache-aided multi-user Private Information Retrieval (MuPIR). In this problem, several files are replicated across multiple servers. There are $K$ users and $C$ cache nodes. Each user can access $L$…

Information Theory · Computer Science 2022-02-11 Kanishak Vaidya , B Sundar Rajan

In a private information retrieval (PIR) system, the user needs to retrieve one of the possible messages from a set of storage servers, but wishes to keep the identity of requested message private from any given server. Existing efforts in…

Information Theory · Computer Science 2020-08-04 Tao Guo , Ruida Zhou , Chao Tian

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

Suppose a database containing $M$ records is replicated across $N$ servers, and a user wants to privately retrieve one record by accessing the servers such that identity of the retrieved record is secret against any up to $T$ servers. A…

Information Theory · Computer Science 2018-05-08 Jingke Xu , Zhifang Zhang

Multi-server single-message private information retrieval is studied in the presence of side information. In this problem, $K$ independent messages are replicatively stored at $N$ non-colluding servers. The user wants to privately download…

Information Theory · Computer Science 2024-09-10 Su Li , Michael Gastpar

In quantum private information retrieval (QPIR), a user retrieves a classical file from multiple servers by downloading quantum systems without revealing the identity of the file. The QPIR capacity is the maximal achievable ratio of the…

Information Theory · Computer Science 2021-11-09 Matteo Allaix , Seunghoan Song , Lukas Holzbaur , Tefjol Pllaha , Masahito Hayashi , Camilla Hollanti

We introduce the \emph{Private Structured-Subset Retrieval (PSSR)} problem, where a user retrieves $D$ messages from a database of $K$ messages replicated across $N$ non-colluding servers, and the demand is restricted to a known structured…

Information Theory · Computer Science 2026-05-12 Maha Issa , Anoosheh Heidarzadeh

A private compression design problem is studied, where an encoder observes useful data $Y$, wishes to compress it using variable length code and communicates it through an unsecured channel. Since $Y$ is correlated with private attribute…

Information Theory · Computer Science 2024-03-27 Amirreza Zamani , Tobias J. Oechtering , Deniz Gündüz , Mikael Skoglund

We consider private information retrieval (PIR) of a single file out of $K$ files from $N$ non-colluding databases with heterogeneous storage constraints $\mathbf{m}=(m_1, \cdots, m_N)$. The aim of this work is to jointly design the content…

Information Theory · Computer Science 2019-02-26 Karim Banawan , Batuhan Arasli , Yi-Peng Wei , Sennur Ulukus

We introduce the problem of private computation, comprised of $N$ distributed and non-colluding servers, $K$ independent datasets, and a user who wants to compute a function of the datasets privately, i.e., without revealing which function…

Information Theory · Computer Science 2017-11-28 Hua Sun , Syed A. Jafar

Suppose a database containing $M$ records is replicated in each of $N$ servers, and a user wants to privately retrieve one record by accessing the servers such that identity of the retrieved record is secret against any up to $T$ servers. A…

Information Theory · Computer Science 2019-01-18 Jingke Xu , Yaqian Zhang , Zhifang Zhang

In private information delivery (PID) problem, there are $K$ messages stored across $N$ servers, each capable of storing $M$ messages and a user. Servers want to convey one of the $K$ messages to the user without revealing the identity…

Information Theory · Computer Science 2022-02-09 Kanishak Vaidya , B Sundar Rajan

This paper introduces a novel lower bound on communication complexity using quantum relative entropy and mutual information, refining previous classical entropy-based results. By leveraging Uhlmann's lemma and quantum Pinsker inequalities,…

Quantum Physics · Physics 2025-07-29 Fengxia Liu , Zhiyong Zheng , Kun Tian , Yi Zhang , Heng Guo , Zhe Hu , Oleksiy Zhedanov , Zixian Gong

Suppose a database containing $M$ records is replicated across $N$ servers, and a user wants to privately retrieve one record by accessing the servers such that identity of the retrieved record is secret against any up to $T$ servers. A…

Information Theory · Computer Science 2017-11-01 Zhifang Zhang , Jingke Xu

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

Recently it was shown that the seminal Maddah-Ali and Niesen (MAN) coded caching scheme leaks the demand information of each user to the others. Many works have considered coded caching with demand privacy, while each non-trivial existing…

Information Theory · Computer Science 2023-11-03 Ali Gholami , Kai Wan , Hua Sun , Mingyue Ji , Giuseppe Caire

Private Information Retrieval (PIR) allows a client to privately access a database without revealing which element is accessed. Initial PIR protocols based on Ring Learning with Errors (RLWE) demonstrated the practicality of PIR, but…

Cryptography and Security · Computer Science 2026-03-11 Rasoul Akhavan Mahdavi , Abdulrahman Diaa , Florian Kerschbaum

The problem of symmetric private information retrieval (SPIR) from a coded database which is distributively stored among colluding servers is studied. Specifically, the database comprises $K$ files, which are stored among $N$ servers using…

Information Theory · Computer Science 2017-08-21 Qiwen Wang , Mikael Skoglund

We introduce the \emph{Private Contiguous-Block Retrieval (PCBR)} problem, where a user retrieves a block of $D$ messages with contiguous indices from $K$ replicated messages stored across $N$ non-colluding servers, while hiding the…

Information Theory · Computer Science 2026-05-08 Maha Issa , Anoosheh Heidarzadeh