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We consider the problem of communication efficient distributed optimization where multiple nodes exchange important algorithm information in every iteration to solve large problems. In particular, we focus on the stochastic variance-reduced…

Machine Learning · Computer Science 2020-03-16 Hossein S. Ghadikolaei , Sindri Magnusson

We study the simultaneous message passing model of communication complexity. Building on the quantum fingerprinting protocol of Buhrman et al., Yao recently showed that a large class of efficient classical public-coin protocols can be…

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

We study the advantages of quantum communication models over classical communication models that are equipped with a limited number of qubits of entanglement. In this direction, we give explicit partial functions on $n$ bits for which…

Quantum Physics · Physics 2025-12-02 Srinivasan Arunachalam , Uma Girish

A process of preparation, transmission and subsequent projective measurement of a qubit can be simulated by a classical model with only two bits of communication and some amount of shared randomness. However no model for n qubits with a…

Quantum Physics · Physics 2011-12-30 Alberto Montina

We show a tight lower bound of $\Omega(N \log\log N)$ on the number of transmissions required to compute the parity of $N$ input bits with constant error in a noisy communication network of $N$ randomly placed sensors, each having one input…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-02-10 Chinmoy Dutta , Yashodhan Kanoria , D. Manjunath , Jaikumar Radhakrishnan

We study the communication complexity of a direct sum of independent copies of the equality predicate. We prove that the probabilistic communication complexity of this problem is equal to O(N); computational complexity of the proposed…

Computational Complexity · Computer Science 2012-12-12 Vladimir Nikishkin

We study randomized and quantum efficiency lower bounds in communication complexity. These arise from the study of zero-communication protocols in which players are allowed to abort. Our scenario is inspired by the physics setup of Bell…

Quantum Physics · Physics 2014-07-03 S. Laplante , V. Lerays , J. Roland

Communicating anonymously comes at a cost - and large communities have been in a constant tug-of-war between the development of faster protocols, and the improvement of security analyses. Thereby more intricate privacy goals emerged and…

Cryptography and Security · Computer Science 2020-11-18 Christiane Kuhn , Friederike Kitzing , Thorsten Strufe

In the field of distributed consensus and blockchains, the synchronous communication model assumes that all messages between honest parties are delayed at most by a known constant $\Delta$. Recent literature establishes that the…

Cryptography and Security · Computer Science 2021-02-02 Suryanarayana Sankagiri , Shreyas Gandlur , Bruce Hajek

We prove an optimal $\Omega(n)$ lower bound on the randomized communication complexity of the much-studied Gap-Hamming-Distance problem. As a consequence, we obtain essentially optimal multi-pass space lower bounds in the data stream model…

Computational Complexity · Computer Science 2012-07-02 Amit Chakrabarti , Oded Regev

In a recent work (Ghazi et al., SODA 2016), the authors with Komargodski and Kothari initiated the study of communication with contextual uncertainty, a setup aiming to understand how efficient communication is possible when the…

Information Theory · Computer Science 2017-05-03 Badih Ghazi , Madhu Sudan

Distributed agents in real-world settings frequently must coordinate under uncertainty with only partial observations. Coordination is necessary to share beliefs to aid in task completion, but communication costs bandwidth, introduces…

Multiagent Systems · Computer Science 2026-05-11 David Farr , Iain Cruickshank , Kate Starbird , Jevin West

Communication in poor network environment is always a difficult problem, since troubles such as bit errors and packet loss may often occur. It is generally believed that it is impossible to transmit data both accurately and efficiently in…

Networking and Internet Architecture · Computer Science 2022-10-20 Ye Tianyi

An informed Advisor and an uninformed Decision-Maker, with conflicting interests, engage in repeated cheap talk communication in always new decision problems. While the Decision-Maker's optimal payoff is attainable in some subgame-perfect…

Theoretical Economics · Economics 2025-08-04 Steven Kivinen , Christoph Kuzmics

We study the problem of simulating protocols in a quantum communication setting over noisy channels. This problem falls at the intersection of quantum information theory and quantum communication complexity, and it will be of importance for…

Quantum Physics · Physics 2019-06-12 Gilles Brassard , Ashwin Nayak , Alain Tapp , Dave Touchette , Falk Unger

Similarly to the Chomsky hierarchy, we offer a classification of communication complexity measures such that these measures are organized into equivalence classes. Different from previous attempts of this endeavor, we consider two…

Computational Complexity · Computer Science 2026-03-13 Andris Ambainis , Hartmut Klauck , Debbie Lim

Gap Hamming Distance is a well-studied problem in communication complexity, in which Alice and Bob have to decide whether the Hamming distance between their respective n-bit inputs is less than n/2-sqrt(n) or greater than n/2+sqrt(n). We…

Computational Complexity · Computer Science 2009-12-31 Joshua Brody , Amit Chakrabarti , Oded Regev , Thomas Vidick , Ronald de Wolf

Consider two parties who want to agree on a common frequency band for communication in the presence of independent jammers. Such jammers block a different subset of bands at each site, where each party can observe only its own set of…

Quantum Physics · Physics 2026-04-23 Stephanie Wehner

This paper studies the organization of communication between biased senders and a receiver. Senders can misreport their private information at a cost. Efficiency is achieved by clearing information asymmetries without incurring costs.…

Theoretical Economics · Economics 2025-02-04 Federico Vaccari

We prove a trade-off relation between the entanglement cost and classical communication complexity of causal order structure of a protocol in distributed quantum information processing. We consider an implementation of a class of two-qubit…

Quantum Physics · Physics 2019-05-22 Eyuri Wakakuwa , Akihito Soeda , Mio Murao