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In this paper we consider the multiparty equality problem in graphs, where every vertex of a graph $G$ is given an input, and the goal of the vertices is to decide whether all inputs are equal. We study this problem in the local broadcast…

Combinatorics · Mathematics 2026-02-25 Louis Esperet , Jean-Florent Raymond

Consider the "Number in Hand" multiparty communication complexity model, where k players holding inputs x_1,...,x_k in {0,1}^n communicate to compute the value f(x_1,...,x_k) of a function f known to all of them. The main lower bound…

Computational Complexity · Computer Science 2017-10-10 Jan Draisma , Eyal Kushilevitz , Enav Weinreb

Information theoretically secure multi-party computation (MPC) is a central primitive of modern cryptography. However, relatively little is known about the communication complexity of this primitive. In this work, we develop powerful…

Cryptography and Security · Computer Science 2014-04-15 Deepesh Data , Vinod M. Prabhakaran , Manoj M. Prabhakaran

We study shared randomness in the context of multi-party number-in-hand communication protocols in the simultaneous message passing model. We show that with three or more players, shared randomness exhibits new interesting properties that…

Quantum Physics · Physics 2013-03-07 Dmitry Gavinsky , Tsuyoshi Ito , Guoming Wang

The main conceptual contribution of this paper is investigating quantum multiparty communication complexity in the setting where communication is \emph{oblivious}. This requirement, which to our knowledge is satisfied by all quantum…

Quantum Physics · Physics 2023-12-29 François Le Gall , Daiki Suruga

We investigate two senders and one receiver multiparty communication scenario. Following Phys.Rev.A83, 062112 and arXiv : 2506.07699, we study multiparty communication bounded by dimension and distinguishability. We provide an explicit…

Quantum Physics · Physics 2025-12-08 Ankush Pandit

In this paper we prove lower bounds on randomized multiparty communication complexity, both in the \emph{blackboard model} (where each message is written on a blackboard for all players to see) and (mainly) in the \emph{message-passing…

Computational Complexity · Computer Science 2015-02-10 Jeff M. Phillips , Elad Verbin , Qin Zhang

We study nondeterministic multiparty quantum communication with a quantum generalization of broadcasts. We show that, with number-in-hand classical inputs, the communication complexity of a Boolean function in this communication model…

Quantum Physics · Physics 2018-02-13 Harry Buhrman , Matthias Christandl , Jeroen Zuiddam

We consider interactive coding in a setting where $n$ parties wish to compute a joint function of their inputs via an interactive protocol over imperfect channels. We assume that adversarial errors can comprise a $\mathcal{O}(\frac{1}{n})$…

Data Structures and Algorithms · Computer Science 2015-03-24 Allison Lewko , Ellen Vitercik

We consider a quantum and classical version multi-party function computation problem with $n$ players, where players $2, \dots, n$ need to communicate appropriate information to player 1, so that a "generalized" inner product function with…

Quantum Physics · Physics 2024-02-06 Ruoyu Meng , Aditya Ramamoorthy

In the Number On the Forehead (NOF) multiparty communication model, $k$ players want to evaluate a function $F : X_1 \times\cdots\times X_k\rightarrow Y$ on some input $(x_1,\dots,x_k)$ by broadcasting bits according to a predetermined…

Computational Complexity · Computer Science 2018-09-19 Yassine Hamoudi

We define a quantum model for multiparty communication complexity and prove a simulation theorem between the classical and quantum models. As a result of our simulation, we show that if the quantum k-party communication complexity of a…

Quantum Physics · Physics 2007-05-23 Iordanis Kerenidis

In a multiparty message-passing model of communication, there are $k$ players. Each player has a private input, and they communicate by sending messages to one another over private channels. While this model has been used extensively in…

Data Structures and Algorithms · Computer Science 2013-05-22 Mark Braverman , Faith Ellen , Rotem Oshman , Toniann Pitassi , Vinod Vaikuntanathan

We introduce new models and new information theoretic measures for the study of communication complexity in the natural peer-to-peer, multi-party, number-in-hand setting. We prove a number of properties of our new models and measures, and…

Computational Complexity · Computer Science 2020-10-01 Adi Rosén , Florent Urrutia

In this paper we study quantum nondeterminism in multiparty communication. There are three (possibly) different types of nondeterminism in quantum computation: i) strong, ii) weak with classical proofs, and iii) weak with quantum proofs.…

Computational Complexity · Computer Science 2013-08-13 Marcos Villagra , Masaki Nakanishi , Shigeru Yamashita , Yasuhiko Nakashima

With the aim of accomplishing intelligence tasks, semantic communications transmit task-related information only, yielding significant performance gains over conventional communications. To guarantee user requirements for different types of…

Signal Processing · Electrical Eng. & Systems 2023-05-12 Lei Yan , Zhijin Qin , Rui Zhang , Yongzhao Li , Geoffrey Ye Li

By transmitting task-related information only, semantic communications yield significant performance gains over conventional communications. However, the lack of mature semantic theory about semantic information quantification and…

Information Theory · Computer Science 2024-04-09 Lei Yan , Zhijin Qin , Chunfeng Li , Rui Zhang , Yongzhao Li , Xiaoming Tao

We give lower bounds on the communication complexity of graph problems in the multi-party blackboard model. In this model, the edges of an $n$-vertex input graph are partitioned among $k$ parties, who communicate solely by writing messages…

Data Structures and Algorithms · Computer Science 2021-03-15 Christian Konrad , Peter Robinson , Viktor Zamaraev

Multiparty quantum key distribution (QKD) is useful for many applications that involve secure communication or collaboration among multiple parties. While it can be achieved using pairwise QKD, a more efficient approach is to achieve it…

Quantum Physics · Physics 2024-05-01 Samuel Oslovich , Bing Wang , Walter Krawec , Kenneth Goodenough

I show that a simple multi-party communication task can be performed more efficiently with quantum communication than with classical communication, even with low detection efficiency $\eta$. The task is a communication complexity problem in…

Quantum Physics · Physics 2009-11-07 Ernesto F. Galvao
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