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Suppose that Alice and Bob are located in distant laboratories, which are connected by an ideal quantum channel. Suppose further that they share many copies of a quantum state $\rho_{ABE}$, such that Alice possesses the $A$ systems and Bob…

Quantum Physics · Physics 2020-02-12 Kunal Sharma , Eyuri Wakakuwa , Mark M. Wilde

We consider the learning and communication complexity of subsequence containment. In the learning problem, we seek to learn a classifier that positively labels a binary string $x$ if it contains a fixed binary string $y$ as a subsequence.…

Discrete Mathematics · Computer Science 2023-01-23 Mason DiCicco , Daniel Reichman

We study the following private data transfer problem: Alice has a database of files. Bob and Cathy want to access a file each from this database (which may or may not be the same file), but each of them wants to ensure that their choices of…

Information Theory · Computer Science 2016-11-18 Manoj Mishra , Tanmay Sharma , Bikash K. Dey , Vinod M. Prabhakaran

Perhaps the single most important use case for differential privacy is to privately answer numerical queries, which is usually achieved by adding noise to the answer vector. The central question, therefore, is to understand which noise…

Machine Learning · Statistics 2021-03-17 Jinshuo Dong , Weijie J. Su , Linjun Zhang

Alice wishes to reveal the state $X$ to Bob, if he knows some other information $Y$ also known to her. If Bob does not, she wishes to reveal nothing about $X$ at all. When can Alice accomplish this? We provide a simple necessary and…

Theoretical Economics · Economics 2025-06-17 Costas Cavounidis , Massimiliano Furlan , Alkis Georgiadis-Harris

A broadcast channel (BC) where the decoders cooperate via a one-sided link is considered. One common and two private messages are transmitted and the private message to the cooperative user should be kept secret from the cooperation-aided…

Information Theory · Computer Science 2019-05-29 Ziv Goldfeld , Gerhard Kramer , Haim H. Permuter , Paul Cuff

In the worst-case distributed source coding (DSC) problem of [1], the smaller cardinality of the support-set describing the correlation in informant data, may neither imply that fewer informant bits are required nor that fewer informants…

Information Theory · Computer Science 2009-07-13 Samar Agnihotri , Rajesh Venkatachalapathy

The broadcast channel (BC) with one common and two private messages with leakage constraints is studied, where leakage rate refers to the normalized mutual information between a message and a channel symbol string. Each private message is…

Information Theory · Computer Science 2017-05-30 Ziv Goldfeld , Gerhard Kramer , Haim H. Permuter

Although it is impossible for a bit commitment protocol to be both arbitrarily concealing and arbitrarily binding, it is possible for it to be both partially concealing and partially binding. This means that Bob cannot, prior to the…

Quantum Physics · Physics 2007-05-23 R. W. Spekkens , T. Rudolph

In this work we give a $(n,n)$-threshold protocol for sequential secret sharing of quantum information for the first time. By sequential secret sharing we refer to a situation where the dealer is not having all the secrets at the same time,…

Quantum Physics · Physics 2016-08-11 Maharshi Ray , Sourav Chatterjee , Indranil Chakrabarty

We consider a distributed secret sharing system that consists of a dealer, $n$ storage nodes, and $m$ users. Each user is given access to a certain subset of storage nodes, where it can download the stored data. The dealer wants to securely…

Information Theory · Computer Science 2020-09-30 Mahdi Soleymani , Hessam Mahdavifar

We consider the private classical capacity of a quantum wiretap channel, where the users (sender Alice, receiver Bob, and eavesdropper Eve) have access to the resource of a shared quantum state, additionally to their channel inputs and…

Quantum Physics · Physics 2024-09-25 Minglai Cai , Andreas Winter

Alice and Bob want to share a secret key and to communicate an independent message, both of which they desire to be kept secret from an eavesdropper Eve. We study this problem of secret communication and secret key generation when two…

Information Theory · Computer Science 2016-11-15 Vinod M. Prabhakaran , Krishnan Eswaran , Kannan Ramchandran

The secret-key rate measures the rate at which Alice and Bob can extract secret bits from sampling a joint probability distribution, unknown to an eavesdropper Eve. The secret-key rate has been bounded above by the intrinsic information and…

Information Theory · Computer Science 2023-10-10 Andrey Boris Khesin , Andrew Tung , Karthik Vedula

The fading broadcast channel with confidential messages (BCC) is investigated, where a source node has common information for two receivers (receivers 1 and 2), and has confidential information intended only for receiver 1. The confidential…

Information Theory · Computer Science 2016-11-17 Yingbin Liang , H. Vincent Poor , Shlomo Shamai

This paper studies the problem of secure communication over the broadcast channel with receiver side information under the lens of individual secrecy constraints. That is, the transmitter wants to send two independent messages to two…

Information Theory · Computer Science 2015-02-26 Yanling Chen , O. Ozan Koyluoglu , Aydin Sezgin

In this paper, the delay limited secrecy capacity of the flat fading channel is investigated under two different assumptions on the available transmitter channel state information (CSI). The first scenario assumes perfect prior knowledge of…

Information Theory · Computer Science 2016-11-15 Karim Khalil , Moustafa Youssef , O. Ozan Koyluoglu , Hesham El Gamal

Suppose Alice wishes to send messages to Bob through a communication channel C_1, but her transmissions also reach an eavesdropper Eve through another channel C_2. The goal is to design a coding scheme that makes it possible for Alice to…

Information Theory · Computer Science 2015-03-13 Hessam Mahdavifar , Alexander Vardy

Suppose Alice wishes to send messages to Bob through a communication channel C_1, but her transmissions also reach an eavesdropper Eve through another channel C_2. The goal is to design a coding scheme that makes it possible for Alice to…

Information Theory · Computer Science 2011-10-05 Hessam Mahdavifar , Alexander Vardy

We consider secure computation of randomized functions between two users, where both the users (Alice and Bob) have inputs, Alice sends a message to Bob over a rate-limited, noise-free link, and then Bob produces the output. We study two…

Information Theory · Computer Science 2017-05-22 Deepesh Data , Vinod M. Prabhakaran