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We investigate the problem of common randomness (CR) generation in the basic two-party communication setting in which a sender and a receiver aim to agree on a common random variable with high probability. The terminals observe independent…

Information Theory · Computer Science 2024-05-06 Wafa Labidi , Rami Ezzine , Moritz Wiese , Christian Deppe , Holger Boche

We study the problem of common randomness (CR) generation in the basic two-party communication setting in which the sender and the receiver aim to agree on a common random variable with high probability by observing independent and…

Information Theory · Computer Science 2022-01-27 Wafa Labidi , Rami Ezzine , Christian Deppe , Holger Boche

In the classical Secret-Key generation model, Common Randomness is generated by two terminals based on the observation of correlated components of a common source, while keeping it secret from a non-legitimate observer. It is assumed that…

Information Theory · Computer Science 2016-01-28 Nima Tavangaran , Holger Boche , Rafael F. Schaefer

We study a standard two-source model for common randomness (CR) generation in which Alice and Bob generate a common random variable with high probability of agreement by observing independent and identically distributed (i.i.d.) samples of…

Information Theory · Computer Science 2022-10-17 Wafa Labidi , Rami Ezzine , Christian Deppe , Moritz Wiese , Holger Boche

We study the problem of synthesising a two-user broadcast channel using a common message, where each output terminal shares an independent source of randomness with the input terminal. This generalises two problems studied in the literature…

Information Theory · Computer Science 2024-05-09 Malhar A. Managoli , Vinod M. Prabhakaran

We investigate the problem of message transmission and the problem of common randomness (CR) generation over single-user multiple-input multiple-output (MIMO) slow fading channels with average input power constraint, additive white Gaussian…

Information Theory · Computer Science 2022-10-24 Rami Ezzine , Moritz Wiese , Christian Deppe , Holger Boche

This paper analyzes the problem of common randomness (CR) generation from correlated discrete sources aided by unidirectional communication over Single-Input Single-Output (SISO) slow fading channels with additive white Gaussian noise…

Information Theory · Computer Science 2021-06-08 Rami Ezzine , Moritz Wiese , Christian Deppe , Holger Boche

We investigate the problem of common randomness (CR) generation from discrete correlated sources aided by one-way communication over single-user multiple-input multiple-output (MIMO) slow fading channels with additive white Gaussian noise…

Information Theory · Computer Science 2021-10-19 Rami Ezzine , Moritz Wiese , Christian Deppe , Holger Boche

Common randomness (CR), as a resource, is not commonly exploited in existing practical communication systems. In the CR generation framework, both the sender and receiver aim to generate a common random variable observable to both, ideally…

Signal Processing · Electrical Eng. & Systems 2024-06-27 Rami Ezzine , Wafa Labidi , Christian Deppe , Holger Boche

A set of m terminals, observing correlated signals, communicate interactively to generate common randomness for a given subset of them. Knowing only the communication, how many direct queries of the value of the common randomness will…

Information Theory · Computer Science 2013-05-08 Himanshu Tyagi , Prakash Narayan

We generalize the uniform common randomness capacity formula, initially established by Ahslwede and Csisz\'ar for a two-source model for common randomness generation from independent and identically distributed (i.i.d.) discrete sources…

Information Theory · Computer Science 2022-09-12 Rami Ezzine , Moritz Wiese , Christian Deppe , Holger Boche

We study common randomness where two parties have access to i.i.d. samples from a known random source, and wish to generate a shared random key using limited (or no) communication with the largest possible probability of agreement. This…

Computational Complexity · Computer Science 2017-07-26 Badih Ghazi , T. S. Jayram

In this paper, we would like to study the common randomness (CR) capacity of intertwined two-way channels, namely those whose marginal channel transition probabilities depends also on the signal they transmit. We bring a few special…

Information Theory · Computer Science 2019-06-27 Saeed Hajizadeh

We consider a standard two-source model for uniform common randomness (UCR) generation, in which Alice and Bob observe independent and identically distributed (i.i.d.) samples of a correlated finite source and where Alice is allowed to send…

Information Theory · Computer Science 2023-05-10 Rami Ezzine , Moritz Wiese , Christian Deppe , Holger Boche

Two parties wish to carry out certain distributed computational tasks, and they are given access to a source of correlated random bits. It allows the parties to act in a correlated manner, which can be quite useful. But what happens if the…

Computational Complexity · Computer Science 2015-08-27 Mohammad Bavarian , Dmitry Gavinsky , Tsuyoshi Ito

We study common randomness generation problems where $n$ players aim to generate same sequences of random coin flips where some subsets of the players share an independent common coin which can be tossed multiple times, and there is a…

Information Theory · Computer Science 2023-12-08 Yanjun Han , Kedar Tatwawadi , Gowtham R. Kurri , Zhengqing Zhou , Vinod M. Prabhakaran , Tsachy Weissman

Given a correlation generated by a (possibly quantum) communication network, we study the amount of shared randomness required to generate it. We develop a novel upper bound for approximating distributions generated by arbitrary networks…

Quantum Physics · Physics 2026-03-16 Yukari Uchibori , Alice Zheng , Anurag Anshu , Jamie Sikora

This paper addresses the problem of generating a common random string with min-entropy k using an unlimited supply of noisy EPR pairs or quantum isotropic states, with minimal communication between Alice and Bob. The paper considers two…

Quantum Physics · Physics 2023-11-27 Yangjing Dong , Penghui Yao

We consider the problem of generating correlated random variables in a distributed fashion, where communication is constrained to a cascade network. The first node in the cascade observes an i.i.d. sequence $X^n$ locally before initiating…

Information Theory · Computer Science 2016-06-10 Sanket Satpathy , Paul Cuff

Due to the short and bursty incoming messages, channel access activities in a wireless random access system are often fractional. The lack of frequent data support consequently makes it difficult for the receiver to estimate and track the…

Information Theory · Computer Science 2011-10-11 Zheng Wang , Jie Luo
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