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We resolve the randomized one-way communication complexity of Dynamic Time Warping (DTW) distance. We show that there is an efficient one-way communication protocol using $\widetilde{O}(n/\alpha)$ bits for the problem of computing an…

Data Structures and Algorithms · Computer Science 2019-03-11 Vladimir Braverman , Moses Charikar , William Kuszmaul , David P. Woodruff , Lin F. Yang

We consider the problem of the classical simulation of quantum measurements in the scenario of communication complexity. Regev and Toner (2007) have presented a 2-bit protocol which simulates one particular correlation function arising from…

Quantum Physics · Physics 2013-10-09 Adrian Kosowski , Marcin Markiewicz

We present a simple and general simulation technique that transforms any black-box quantum algorithm (a la Grover's database search algorithm) to a quantum communication protocol for a related problem, in a way that fully exploits the…

Quantum Physics · Physics 2007-05-23 Harry Buhrman , Richard Cleve , Avi Wigderson

We prove new lower bounds for bounded error quantum communication complexity. Our methods are based on the Fourier transform of the considered functions. First we generalize a method for proving classical communication complexity lower…

Quantum Physics · Physics 2007-05-23 Hartmut Klauck

In this report, building on the deterministic multi-valued one-to-many Byzantine agreement (broadcast) algorithm in our recent technical report [2], we introduce a deterministic multi-valued all-to-all Byzantine agreement algorithm…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-08-27 Guanfeng Liang , Nitin Vaidya

We consider the problem of bounded-error quantum state identification: given either state \alpha_0 or state \alpha_1, we are required to output `0', `1' or `?' ("don't know"), such that conditioned on outputting `0' or `1', our guess is…

Quantum Physics · Physics 2022-03-29 Dmytro Gavinsky , Julia Kempe , Oded Regev , Ronald de Wolf

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

The goal of this paper is to obtain a better knowledge of the achievable data rate over noncoherent Rician fading channel with time and frequency memory. We assume that the average-power as well as the peak-power of the input signal are…

Information Theory · Computer Science 2012-07-13 Jean-Michel Passerieux , Francois-Xavier Socheleau , Christophe Laot

Communication is a major factor determining the performance of algorithms on current computing systems; it is therefore valuable to provide tight lower bounds on the communication complexity of computations. This paper presents a lower…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-11-28 Gianfranco Bilardi , Michele Scquizzato , Francesco Silvestri

We present new distributed quantum algorithms for fundamental distributed computing problems, namely, leader election, broadcast, Minimum Spanning Tree (MST), and Breadth-First Search (BFS) tree, in arbitrary networks. These algorithms are…

Quantum Physics · Physics 2026-03-03 Fabien Dufoulon , Frédéric Magniez , Gopal Pandurangan

We study a well-known communication abstraction called Uniform Reliable Broadcast (URB). URB is central in the design and implementation of fault-tolerant distributed systems, as many non-trivial fault-tolerant distributed applications…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-13 Oskar Lundström , Michel Raynal , Elad M. Schiller

Multi-valued validated Byzantine agreement (MVBA), a fundamental primitive of distributed computing, allows $n$ processes to agree on a valid $\ell$-bit value, despite $t$ faulty processes behaving maliciously. Among hash-based solutions…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-15 Jovan Komatovic , Joachim Neu , Tim Roughgarden

We study the problem of exact sampling under an exponential communication cost, specifically Campbell's average codeword length $L(t)$ of order $t$, and R\'enyi's entropy. We provide a lower bound on the Campbell cost of exact sampling that…

Information Theory · Computer Science 2026-04-03 Spencer Hill , Fady Alajaji , Tamás Linder

Mass spectrometry (MS) based omics data analysis require significant time and resources. To date, few parallel algorithms have been proposed for deducing peptides from mass spectrometry-based data. However, these parallel algorithms were…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-12 Fahad Saeed , Muhammad Haseeb , SS Iyengar

In a $k$-party communication problem, the $k$ players with inputs $x_1, x_2, \ldots, x_k$, respectively, want to evaluate a function $f(x_1, x_2, \ldots, x_k)$ using as little communication as possible. We consider the message-passing…

Computational Complexity · Computer Science 2021-12-01 Elbert Du , Michael Mitzenmacher , David P. Woodruff , Guang Yang

Consider an asynchronous system with private channels and $n$ processes, up to $t$ of which may be faulty. We settle a longstanding open question by providing a Byzantine agreement protocol that simultaneously achieves three properties: 1.…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-08-12 Ittai Abraham , Danny Dolev , Joseph Y. Halpern

We show that any classical two-way communication protocol with shared randomness that can approximately simulate the result of applying an arbitrary measurement (held by one party) to a quantum state of $n$ qubits (held by another), up to…

Quantum Physics · Physics 2019-07-03 Ashley Montanaro

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

We address the problem of reaching consensus in the presence of Byzantine faults. In particular, we are interested in investigating the impact of messages relay on the network connectivity for a correct iterative approximate Byzantine…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-04-17 Lili Su , Nitin Vaidya

A channel coding achievability bound expressed in terms of the ratio between two Neyman-Pearson $\beta$ functions is proposed. This bound is the dual of a converse bound established earlier by Polyanskiy and Verd\'{u} (2014). The new bound…

Information Theory · Computer Science 2016-01-25 Wei Yang , Austin Collins , Giuseppe Durisi , Yury Polyanskiy , H. Vincent Poor
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