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In communication complexity, a number of distant parties have the task of calculating a distributed function of their inputs, while minimizing the amount of communication between them. It is known that with quantum resources, such as…

Quantum Physics · Physics 2016-09-12 Philippe Allard Guérin , Adrien Feix , Mateus Araújo , Časlav Brukner

By how much must the communication complexity of a function increase if we demand that the parties not only correctly compute the function but also return all registers (other than the one containing the answer) to their initial states at…

Quantum Physics · Physics 2016-12-07 Harry Buhrman , Matthias Christandl , Christopher Perry , Jeroen Zuiddam

In this paper we propose a general method to quantify how "quantum" a set of quantum states is. The idea is to gauge the quantumness of the set by the worst-case difficulty of transmitting the states through a purely classical communication…

Quantum Physics · Physics 2007-05-23 Christopher A. Fuchs , Masahide Sasaki

We consider the scenario of classical communication over a finite-dimensional quantum channel with memory using a separable-state input ensemble and local output measurements. We propose algorithms for estimating the information rate of…

Information Theory · Computer Science 2024-10-30 Michael X. Cao , Pascal O. Vontobel

In this article we establish new bounds on the quantum communication complexity of distributed problems. Specifically, we consider the amount of communication that is required to transform a bipartite state into another, typically more…

Quantum Physics · Physics 2007-05-23 Wim van Dam , Patrick Hayden

A set of $n$ pure quantum states is called antidististinguishable if there exists an $n$-outcome measurement that never outputs the outcome `$k$' on the $k$-th quantum state. We describe sets of quantum states for which any subset of three…

Quantum Physics · Physics 2020-03-25 Vojtěch Havlíček , Jonathan Barrett

We establish a framework to study the classical-communication properties of primitive local operations assisted by classical communication which realize various redistributions of entanglement, like, e.g., entanglement swapping. On the one…

Quantum Physics · Physics 2008-10-20 Andrzej Grudka , Michal Horodecki , Pawel Horodecki , Ryszard Horodecki , Marco Piani

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

Distributed quantum information processing seeks to overcome the scalability limitations of monolithic quantum devices by interconnecting multiple quantum processing nodes via classical and quantum communication. This approach extends the…

Quantum Physics · Physics 2025-10-20 Johannes Knörzer , Xiaoyu Liu , Benjamin F. Schiffer , Jordi Tura

A two-party quantum communication process with classical inputs and outcomes can be simulated by replacing the quantum channel with a classical one. The minimal amount of classical communication required to reproduce the statistics of the…

Quantum Physics · Physics 2016-04-20 A. Hansen , A. Montina , S. Wolf

This article summarises the current status of classical communication networks and identifies some critical open research challenges that can only be solved by leveraging quantum technologies. By now, the main goal of quantum communication…

Information Theory · Computer Science 2021-06-08 Roberto Ferrara , Riccardo Bassoli , Christian Deppe , Frank H. P. Fitzek , Holger Boche

Network coordination is considered in three basic settings, characterizing the generation of separable and classical-quantum correlations among multiple parties. First, we consider the simulation of a classical-quantum state between two…

Quantum Physics · Physics 2024-04-30 Hosen Nator , Uzi Pereg

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

We investigate prepare-and-measure scenarios in which a sender and a receiver use entanglement to send quantum information over a channel with limited capacity. We formalise this framework, identify its basic properties and provide…

Quantum Physics · Physics 2026-04-07 Elna Svegborn , Jef Pauwels , Armin Tavakoli

Quantum resources can be more powerful than classical resources - a quantum computer can solve certain problems exponentially faster than a classical computer, and computing a function of two people's inputs can be done with exponentially…

Quantum Physics · Physics 2015-10-05 Christopher Perry , Rahul Jain , Jonathan Oppenheim

Quantum teleportation allows to transfer unknown quantum states between distant parties. It is not only a primitive of quantum communications but also an essential task in realization of the quantum networks for promising applications such…

Quantum Physics · Physics 2020-02-19 Sang Min Lee , Seung-Woo Lee , Hyunseok Jeong , Hee Su Park

In this work we consider a quantum network consisting of nodes and entangled states connecting the nodes. In evrey node there is a single player. The players at the intermediate nodes carry out measurements to produce an entangled state…

Quantum Physics · Physics 2013-08-21 Sk Sazim , Indranil Chakrabarty

We give the first exponential separation between quantum and classical multi-party communication complexity in the (non-interactive) one-way and simultaneous message passing settings. For every k, we demonstrate a relational communication…

Quantum Physics · Physics 2022-03-29 Dmytro Gavinsky , Pavel Pudlák

The framework of distributed computing, consisting of several spatially separated input-output servers, has immense importance in distant data manipulation. One of the most challenging parts of this setting is to optimize the use of…

Quantum Physics · Physics 2023-04-11 Sutapa Saha , Tamal Guha , Some Sankar Bhattacharya , Manik Banik

Bit commitment is a fundamental cryptographic primitive in which Bob wishes to commit a secret bit to Alice. Perfectly secure bit commitment has been proven impossible through asynchronous exchange of classical and quantum information.…

Quantum Physics · Physics 2014-02-25 T. Lunghi , J. Kaniewski , F. Bussieres , R. Houlmann , M. Tomamichel , A. Kent , N. Gisin , S. Wehner , H. Zbinden
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