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We consider a distributed function computation problem in which parties observing noisy versions of a remote source facilitate the computation of a function of their observations at a fusion center through public communication. The…

Information Theory · Computer Science 2022-03-30 Onur Günlü , Matthieu Bloch , Rafael F. Schaefer

We show how to sample exactly discrete probability distributions whose defining parameters are distributed among remote parties. For this purpose, von Neumann's rejection algorithm is turned into a distributed sampling communication…

Quantum Physics · Physics 2021-03-23 Gilles Brassard , Luc Devroye , Claude Gravel

The class of incoherent operations induces a pre-order on the set of quantum pure states, defined by the possibility of converting one state into the other by transformations within the class. We prove that if two $n$-dimensional pure…

Quantum Physics · Physics 2021-07-02 Fabio Deelan Cunden , Paolo Facchi , Giuseppe Florio , Giovanni Gramegna

The task of manipulating correlated random variables in a distributed setting has received attention in the fields of both Information Theory and Computer Science. Often shared correlations can be converted, using a little amount of…

Information Theory · Computer Science 2019-10-03 Madhu Sudan , Himanshu Tyagi , Shun Watanabe

We consider the distribution of high-dimensional entangled states to multiple parties via noisy channels and the subsequent probabilistic conversion of these states to desired target states using stochastic local operations and classical…

Quantum Physics · Physics 2022-06-01 Simon Morelli , David Sauerwein , Michalis Skotiniotis , Nicolai Friis

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 give an operational meaning to the min-entropy of a quantum state as a resource measure for various interconnected tasks. In particular, we show that the min-entropy without smoothing measures the amount of quantum information that can…

Quantum Physics · Physics 2021-04-28 Seok Hyung Lie , Seongjeon Choi , Hyunseok Jeong

The coordination of autonomous agents is a critical issue for decentralized communication networks. Instead of transmitting information, the agents interact in a coordinated manner in order to optimize a general objective function. A target…

Information Theory · Computer Science 2016-11-15 Maël Le Treust

We study asymptotic performance of distributed detection in large scale connected sensor networks. Contrasting to the canonical parallel network where a single node has access to local decisions from all other nodes, each node can only…

Information Theory · Computer Science 2018-10-16 Shengyu Zhu , Biao Chen

Distributed statistical inference has recently attracted enormous attention. Many existing work focuses on the averaging estimator. We propose a one-step approach to enhance a simple-averaging based distributed estimator. We derive the…

Methodology · Statistics 2015-11-11 Cheng Huang , Xiaoming Huo

In this work, we propose a soft covering problem for fully quantum channels using relative entropy as a criterion for operator closeness. We establish covering lemmas by deriving one-shot bounds on the achievable rates in terms of smooth…

Information Theory · Computer Science 2026-02-24 Xingyi He , S. Sandeep Pradhan

Quantum data processing inequality bounds the set of bipartite states that can be generated by two far apart parties under local operations; Having access to a bipartite state as a resource, two parties cannot locally transform it to…

Quantum Physics · Physics 2023-03-14 Salman Beigi

We consider the problem of distributed hypothesis testing (or social learning) where a network of agents seeks to identify the true state of the world from a finite set of hypotheses, based on a series of stochastic signals that each agent…

Multiagent Systems · Computer Science 2020-04-06 Shreyas Sundaram , Aritra Mitra

With the recent development of quantum information theory, some attempts exist to construct information theory beyond quantum theory. Here we consider hypothesis testing relative entropy and one-shot classical capacity, that is, the optimal…

Quantum Physics · Physics 2024-06-14 Shintaro Minagawa , Hayato Arai

A problem of distributed state estimation at multiple agents that are physically connected and have competitive interests is mapped to a distributed source coding problem with additional privacy constraints. The agents interact to estimate…

Information Theory · Computer Science 2012-07-10 Lalitha Sankar , H. Vincent Poor

In a decentralized and self-configuring network, the communication devices are considered as autonomous decision-makers that sense their environment and that implement optimal transmission schemes. It is essential that these autonomous…

Information Theory · Computer Science 2017-06-05 Maël Le Treust

One-shot information theory addresses scenarios in source coding and channel coding where the signal blocklength is assumed to be 1. In this case, each source and channel can be used only once, and the sources and channels are arbitrary and…

Information Theory · Computer Science 2025-11-26 Yanxiao Liu

Observations or measurements taken of a quantum system (a small number of fundamental particles) are inherently random. If the state of the system depends on unknown parameters, then the distribution of the outcome depends on these…

Statistics Theory · Mathematics 2007-06-13 Richard D. Gill

We demonstrate how to universally simulate ensemble statistics of projective local measurements on any $n$-qubit state shared among $n$ observers with classical communication and shared randomness. Our technique originates from protocols…

Quantum Physics · Physics 2024-02-20 Kelvin Onggadinata , Pawel Kurzynski , Dagomir Kaszlikowski

In this paper we consider a version of the zero-shot learning problem where seen class source and target domain data are provided. The goal during test-time is to accurately predict the class label of an unseen target domain instance based…

Computer Vision and Pattern Recognition · Computer Science 2015-09-29 Ziming Zhang , Venkatesh Saligrama