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In this paper we consider the following question: how many bits of classical communication and shared random bits are necessary to simulate a quantum protocol involving Alice and Bob where they share k entangled quantum bits and do not…

Quantum Physics · Physics 2007-05-23 Allison Coates

We consider the joint source-channel coding problem of sending a Gaussian source on a K-user Gaussian broadcast channel with bandwidth mismatch. A new outer bound to the achievable distortion region is derived using the technique of…

Information Theory · Computer Science 2010-11-22 Chao Tian , Suhas Diggavi , Shlomo Shamai

In this work we consider a quantum generalization of the task considered by Slepian and Wolf [1973] regarding distributed source compression. In our task Alice, Bob, Charlie and Reference share a joint pure state. Alice and Bob wish to send…

Quantum Physics · Physics 2018-03-06 Anurag Anshu , Rahul Jain , Naqueeb Ahmad Warsi

We consider visible compression for discrete memoryless sources of mixed quantum states when only classical information can be sent from Alice to Bob. We assume that Bob knows the source statistics, and that Alice and Bob have identical…

Quantum Physics · Physics 2007-05-23 Emina Soljanin

Wigner's friend thought experiment is intended to reveal the inherent tension between unitary evolution and measurement collapse. On the basis of Wigner's friend experiment, Brukner derives a no-go theorem for observer-independent facts. We…

Quantum Physics · Physics 2023-06-23 Dong Ding , Can Wang , Ying-Qiu He , Tong Hou , Ting Gao , Feng-Li Yan

The mathematical framework of quantum theory, though fundamentally distinct from classical physics, raises the question of whether quantum processes can be efficiently simulated using classical resources. For instance, a sender (Alice)…

Quantum Physics · Physics 2025-07-17 Sahil Gopalkrishna Naik , Mani Zartab , Nicolas Gisin , Manik Banik

Quantum simulation is a promising pathway toward practical quantum advantage by simulating large-scale quantum systems. In this work, we propose communication-efficient distributed quantum simulation protocols by exploring three quantum…

Quantum Physics · Physics 2024-11-06 Tianfeng Feng , Jue Xu , Wenjun Yu , Zekun Ye , Penghui Yao , Qi Zhao

In this paper, we propose {\em distributed network compression via memory}. We consider two spatially separated sources with correlated unknown source parameters. We wish to study the universal compression of a sequence of length $n$ from…

Information Theory · Computer Science 2012-10-09 Ahmad Beirami , Faramarz Fekri

This paper pertains to the analysis and design of decentralized estimation schemes that make use of limited communication. Briefly, these schemes equip the sensors with scalar states that iteratively merge the measurements and the state of…

Systems and Control · Computer Science 2018-01-19 Andreea B. Alexandru , Sergio Pequito , Ali Jadbabaie , George J. Pappas

We study a model of communication complexity that encompasses many well-studied problems, including classical and quantum communication complexity, the complexity of simulating distributions arising from bipartite measurements of shared…

Quantum Physics · Physics 2011-07-08 Julien Degorre , Marc Kaplan , Sophie Laplante , Jérémie Roland

We consider the problem of synthesizing a memoryless channel between an unobserved source and a remote terminal. An encoder has access to a partial or noisy version $Z^n = (Z_1, \ldots, Z_n)$ of a remote source sequence $X^n = (X_1, \ldots,…

Information Theory · Computer Science 2025-07-22 Yassine Hamdi , Deniz Gündüz

In this paper, distributed (or multiterminal) source coding with one distortion criterion and correlated messages is considered. This problem can be also called ``Berger-Yeung problem with correlated messages''. It corresponds to the source…

Information Theory · Computer Science 2009-08-18 Suhan Choi

We introduce a simple model illustrating the role of context in communication and the challenge posed by uncertainty of knowledge of context. We consider a variant of distributional communication complexity where Alice gets some information…

Computational Complexity · Computer Science 2015-07-21 Badih Ghazi , Ilan Komargodski , Pravesh Kothari , Madhu Sudan

Jointly Gaussian memoryless sources are observed at N distinct terminals. The goal is to efficiently encode the observations in a distributed fashion so as to enable reconstruction of any one of the observations, say the first one, at the…

Information Theory · Computer Science 2008-05-14 Saurabha Tavildar , Pramod Viswanath , Aaron B. Wagner

We consider the distributed source coding system of $L$ correlated Gaussian sources $Y_i,i=1,2,...,L$ which are noisy observations of correlated Gaussian remote sources $X_k, k=1,2,...,K$. We assume that $Y^{L}={}^{\rm t}(Y_1,Y_2,$ $...,…

Information Theory · Computer Science 2011-02-21 Yasutada Oohama

Motivated by sensor networks and other distributed settings, several models for distributed learning are presented. The models differ from classical works in statistical pattern recognition by allocating observations of an independent and…

Information Theory · Computer Science 2016-11-18 Joel B. Predd , Sanjeev R. Kulkarni , H. Vincent Poor

Consider a sequence $X^n$ of length $n$ emitted by a Discrete Memoryless Source (DMS) with unknown distribution $p_X$. The objective is to construct a lossless source code that maps $X^n$ to a sequence $\widehat{Y}^m$ of length $m$ that is…

Information Theory · Computer Science 2021-06-21 Remi A. Chou , Matthieu R. Bloch , Aylin Yener

A scenario in which a single source communicates with a single destination via a distributed MIMO transceiver is considered. The source operates each of the transmit antennas via finite-capacity links, and likewise the destination is…

Information Theory · Computer Science 2016-11-17 Osvaldo Simeone , Oren Somekh , H. Vincent Poor , Shlomo Shamai

Let us consider a pair signal-observation ((xn,yn),n 0) where the unobserved signal (xn) is a Markov chain and the observed component is such that, given the whole sequence (xn), the random variables (yn) are independent and the conditional…

Probability · Mathematics 2007-05-23 Mireille Chaleyat-Maurel , Valentine Genon-Catalot

Secure communication protocols are becoming increasingly important, e.g. for internet-based communication. Quantum key distribution allows two parties, commonly called Alice and Bob, to generate a secret sequence of 0s and 1s called a key…

Physics Education · Physics 2017-04-05 Antje Kohnle , Aluna Rizzoli