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The use of quantum computing for machine learning is among the most exciting prospective applications of quantum technologies. However, machine learning tasks where data is provided can be considerably different than commonly studied…

We investigates a model of hybrid classical-quantum communication complexity, in which two parties first exchange classical messages and subsequently communicate using quantum messages. We study the trade-off between the classical and…

Computational Complexity · Computer Science 2026-04-23 Xudong Wu , Guangxu Yang , Penghui Yao

By connecting multiple quantum computers (QCs) through classical and quantum channels, a quantum communication network can be formed. This gives rise to new applications such as blind quantum computing, distributed quantum computing, and…

Quantum Physics · Physics 2024-09-18 Leo Sünkel , Manik Dawar , Thomas Gabor

Uncloneable encryption is a cryptographic primitive which encrypts a classical message into a quantum ciphertext, such that two quantum adversaries are limited in their capacity of being able to simultaneously decrypt, given the key and…

Quantum Physics · Physics 2024-10-31 Pierre Botteron , Anne Broadbent , Eric Culf , Ion Nechita , Clément Pellegrini , Denis Rochette

Entangled quantum networks provide great flexibilities and scalabilities for quantum information processing or quantum Internet. Most of results are focused on the nonlocalities of quantum networks. Our goal in this work is to explore new…

Quantum Physics · Physics 2021-08-06 Ming-Xing Luo

Given an undirected, weighted graph, with $n$ vertices and $m$ edges, and two special vertices $s$ and $t$, the problem is to find the shortest path between them. We give two bounded-error quantum algorithms with improved runtime in the…

Quantum Physics · Physics 2026-03-20 Adam Wesołowski , Stephen Piddock

A locking protocol between two parties is as follows: Alice gives an encrypted classical message to Bob which she does not want Bob to be able to read until she gives him the key. If Alice is using classical resources, and she wants to…

Quantum Physics · Physics 2011-12-13 S. Boixo , L. Aolita , D. Cavalcanti , K. Modi , A. Winter

Random access codes have provided many examples of quantum advantage in communication, but concern only one kind of information retrieval task. We introduce a related task - the Torpedo Game - and show that it admits greater quantum…

Quantum Physics · Physics 2022-07-15 Pierre-Emmanuel Emeriau , Mark Howard , Shane Mansfield

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

Quantum versus classical separation plays a central role in understanding the advantages of quantum computation. In this paper, we present the first exponential separation between quantum and bounded-error randomized communication…

Quantum Physics · Physics 2025-06-23 Guangxu Yang , Jiapeng Zhang

Communication games are one of the widely used tools that are designed to demonstrate quantum supremacy over classical resources. In that, two or more parties collaborate to perform an information processing task to achieve the highest…

Quantum Physics · Physics 2023-01-02 Abhyoudai. S. S. , Sumit Mukherjee , A. K. Pan

We study permutation groups of given minimal degree without the classical primitivity assumption. We provide sharp upper bounds on the order of a permutation group of minimal degree m and on the number of its elements of any given support.…

Quantum Physics · Physics 2007-05-23 Julia Kempe , Laszlo Pyber , Aner Shalev

This paper studies privacy and secure function evaluation in communication complexity. The focus is on quantum versions of the model and on protocols with only approximate privacy against honest players. We show that the privacy loss (the…

Quantum Physics · Physics 2007-05-23 Hartmut Klauck

We prove a near optimal round-communication tradeoff for the two-party quantum communication complexity of disjointness. For protocols with $r$ rounds, we prove a lower bound of $\tilde{\Omega}(n/r + r)$ on the communication required for…

Computational Complexity · Computer Science 2015-05-13 Mark Braverman , Ankit Garg , Young Kun Ko , Jieming Mao , Dave Touchette

Quantum information theory predicts that when the transmission resource is doubled in quantum channels, the amount of information transmitted can be increased more than twice by quantum channel coding technique, whereas the increase is at…

Quantum Physics · Physics 2009-11-10 M. Takeoka , M. Fujiwara , J. Mizuno , M. Sasaki

Assuming the polynomial hierarchy is infinite, we prove a sufficient condition for determining if uniform and polynomial size quantum circuits over a non-universal gate set are not efficiently classically simulable in the weak…

Quantum Physics · Physics 2025-10-23 Chaitanya Karamchedu , Matthew Fox , Daniel Gottesman

Remote entanglement enables coordinated decision making without communication and produces correlations beyond those achievable by any classical strategy, representing a practical quantum advantage in time-critical distributed…

Quantum Physics · Physics 2026-04-10 Changhao Li , Seigo Kikura , Akihisa Goban , Hayata Yamasaki , Shinichi Sunami

We study a new type of separation between quantum and classical communication complexity which is obtained using quantum protocols where all parties are efficient, in the sense that they can be implemented by small quantum circuits with…

Quantum Physics · Physics 2019-11-07 Uma Girish , Ran Raz , Avishay Tal

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

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…

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