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Quantum entanglement, perhaps the most non-classical manifestation of quantum information theory, cannot be used to transmit information between remote parties. Yet, it can be used to reduce the amount of communication required to process a…

Quantum Physics · Physics 2015-06-29 Gilles Brassard , Anne Broadbent , Alain Tapp

This work explores entanglement-assisted communication, where quantum entanglement resources enable the transmission of classical information at an enhanced rate. We consider a scenario where entanglement is distributed ahead of time based…

Quantum Physics · Physics 2023-08-01 Stephen DiAdamo , Janis Nötzel

We prove that the fidelity of two exemplary communication complexity protocols, allowing for an N-1 bit communication, can be exponentially improved by N-1 (unentangled) qubit communication. Taking into account, for a fair comparison, all…

We explore multi-round quantum memoryless communication protocols. These are restricted version of multi-round quantum communication protocols. The "memoryless" term means that players forget history from previous rounds, and their behavior…

Computational Complexity · Computer Science 2017-10-05 Farid Ablayev , Andris Ambainis , Kamil Khadiev , AliyaKhadieva

The coherent superposition of quantum states is an important resource for quantum information processing which distinguishes quantum dynamics and information from their classical counterparts. In this article we determine the coherence…

This work addresses two problems in the context of two-party communication complexity of functions. First, it concludes the line of research, which can be viewed as demonstrating qualitative advantage of quantum communication in the three…

Computational Complexity · Computer Science 2022-04-05 Dmytro Gavinsky

We initiate the study of quantifying nonlocalness of a bipartite measurement by the minimum amount of classical communication required to simulate the measurement. We derive general upper bounds, which are expressed in terms of certain…

Quantum Physics · Physics 2011-11-04 Yaoyun Shi , Yufan Zhu

In this work we introduce an intermediate setting between quantum nonlocality and communication complexity problems. More precisely, we study the value of XOR games $G$ when Alice and Bob are allowed to use a limited amount of one-way…

Quantum Physics · Physics 2018-10-10 Marius Junge , Carlos Palazuelos , Ignacio Villanueva

We study the question of how much classical communication is needed when Alice is given a classical description of a quantum state $|\psi\rangle$ for Bob to recover any expectation value $\langle \psi | M |\psi\rangle$ given an observable…

Quantum Physics · Physics 2025-06-27 Kaushik Sankar

In many quantum information applications, a minimum detection efficiency must be exceeded to ensure success. Protocols depending on the violation of a Bell inequality, for instance, may be subject to the so-called detection loophole:…

Quantum Physics · Physics 2017-06-29 Jochen Szangolies , Hermann Kampermann , Dagmar Bruß

We study the fundamental, classical mechanism design problem of single-buyer multi-item Bayesian revenue-maximizing auctions under the lens of communication complexity between the buyer and the seller. Specifically, we ask whether using…

Computer Science and Game Theory · Computer Science 2025-01-07 Aviad Rubinstein , Zixin Zhou

We investigate query-to-communication lifting theorems for models related to the quantum adversary bounds. Our results are as follows: 1. We show that the classical adversary bound lifts to a lower bound on randomized communication…

Quantum Physics · Physics 2020-12-08 Anurag Anshu , Shalev Ben-David , Srijita Kundu

One of the most intriguing facts about communication using quantum states is that these states cannot be used to transmit more classical bits than the number of qubits used, yet there are ways of conveying information with exponentially…

Quantum Physics · Physics 2007-05-23 Ashwin Nayak , Amnon Ta-Shma , David Zuckerman

We prove three new lower bounds for graph connectivity in the $1$-bit broadcast congested clique model, BCC$(1)$. First, in the KT-$0$ version of BCC$(1)$, in which nodes are aware of neighbors only through port numbers, we show an…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-23 Shreyas Pai , Sriram V. Pemmaraju

We investigate one-way communication scenarios where Bob manipulating on his parts can transfer some sub-system to the environment. We define reduced versions of quantum communication rates and further, prove new upper bounds on one-way…

Quantum Physics · Physics 2013-05-29 Marcin L. Nowakowski , Pawel Horodecki

We consider a variation of the multi-party communication complexity scenario where the parties are supplied with an extra resource: particles in an entangled quantum state. We show that, although a prior quantum entanglement cannot be used…

Quantum Physics · Physics 2007-05-23 Harry Buhrman , Richard Cleve , Wim van Dam

We provide an interesting two-party parity oblivious communication game whose success probability is solely determined by the Bell expression. The parity-oblivious condition in an operational quantum theory implies the preparation…

Quantum Physics · Physics 2021-12-30 A. K. Pan

Quantum resources, such as entanglement or quantum communication, offer significant communication advantages in information processing. We develop an operational framework for realizing these communication advantages in resource-constrained…

Quantum Physics · Physics 2026-04-16 Brian Doolittle , Felix Leditzky , Eric Chitambar

We introduce and study Certificate Game complexity, a measure of complexity based on the probability of winning a game where two players are given inputs with different function values and are asked to output some index $i$ such that…

Computational Complexity · Computer Science 2025-03-12 Sourav Chakraborty , Anna Gál , Mika Göös , Sophie Laplante , Rajat Mittal , Anupa Sunny

We prove a general lower bound on the bounded-error entanglement-assisted quantum communication complexity of Boolean functions. The bound is based on the concept that any classical or quantum protocol to evaluate a function on distributed…

Quantum Physics · Physics 2011-11-09 Ashley Montanaro , Andreas Winter
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