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This paper considers a problem of quantum communication between parties that are connected through a network of quantum channels. The model in this paper assumes that there is no prior entanglement shared among any of the parties, but that…

Quantum Physics · Physics 2016-05-30 Hirotada Kobayashi , Francois Le Gall , Harumichi Nishimura , Martin Roetteler

The k-pair problem in network coding theory asks to send k messages simultaneously between k source-target pairs over a directed acyclic graph. In a previous paper [ICALP 2009, Part I, pages 622--633] the present authors showed that if a…

Quantum Physics · Physics 2016-05-30 Hirotada Kobayashi , François Le Gall , Harumichi Nishimura , Martin Roetteler

Since quantum information is continuous, its handling is sometimes surprisingly harder than the classical counterpart. A typical example is cloning; making a copy of digital information is straightforward but it is not possible exactly for…

Quantum Physics · Physics 2016-05-24 Masahito Hayashi , Kazuo Iwama , Harumichi Nishimura , Rudy Raymond , Shigeru Yamashita

We study the k-pair communication problem for quantum information in networks of quantum channels. We consider the asymptotic rates of high fidelity quantum communication between specific sender-receiver pairs. Four scenarios of classical…

Quantum Physics · Physics 2016-11-15 Debbie Leung , Jonathan Oppenheim , Andreas Winter

Distributing quantum state and entanglement between distant nodes is a crucial task in distributed quantum information processing on large-scale quantum networks. Quantum network coding provides an alternative solution for quantum state…

Quantum Physics · Physics 2019-11-05 He Lu , Zheng-Da Li , Xu-Fei Yin , Rui Zhang , Xiao-Xu Fang , Li Li , Nai-Le Liu , Feihu Xu , Yu-Ao Chen , Jian-Wei Pan

We consider the secure quantum communication over a network with the presence of a malicious adversary who can eavesdrop and contaminate the states. The network consists of noiseless quantum channels with the unit capacity and the nodes…

Quantum Physics · Physics 2020-01-28 Seunghoan Song , Masahito Hayashi

Quantum networks are composed of nodes which can send and receive quantum states by exchanging photons. Their goal is to facilitate quantum communication between any nodes, something which can be used to send secret messages in a secure…

Quantum Physics · Physics 2015-06-26 Antonio Acin , J. Ignacio Cirac , Maciej Lewenstein

We investigate the classical and quantum networking regimes of the butterfly network and a group of larger networks constructed with butterfly network blocks. By considering simultaneous multicasts from a set of senders to a set of…

Quantum Physics · Physics 2020-04-03 Kieran N. Wilkinson , Thomas P. W. Cope , Stefano Pirandola

It is natural in a quantum network system that multiple users intend to send their quantum message to their respective receivers, which is called a multiple unicast quantum network. We propose a canonical method to derive a secure quantum…

Quantum Physics · Physics 2020-03-31 Go Kato , Masaki Owari , Masahito Hayashi

Quantum communication demands efficient distribution of quantum entanglement across a network of connected partners. The search for efficient strategies for the entanglement distribution may be based on percolation theory, which describes…

Quantum Physics · Physics 2016-08-23 Michael Siomau

This paper shows how network coding and superdense coding can be combined to increase the classical data throughput by a factor $2-\epsilon$ (for arbitrarily small $\epsilon > 0$) compared to the maximum that could be achieved using either…

Quantum Physics · Physics 2020-07-01 Steven Herbert

Large-scale communication networks, such as the internet, rely on routing packets of data through multiple intermediate nodes to transmit information from a sender to a receiver. In this paper, we develop a model of a quantum communication…

Quantum Physics · Physics 2023-09-28 Hlér Kristjánsson , Yan Zhong , Anthony Munson , Giulio Chiribella

Quantum networks illustrate the use of connected nodes of quantum systems as the backbone of distributed quantum information processing. When the network nodes are entangled in graph states, such a quantum platform is indispensable to…

Quantum Physics · Physics 2020-05-12 He Lu , Chien-Ying Huang , Zheng-Da Li , Xu-Fei Yin , Rui Zhang , Teh-Lu Liao , Yu-Ao Chen , Che-Ming Li , Jian-Wei Pan

We find a protocol transmitting two quantum states crossly in the butterfly network only with prior entanglement between two senders. This protocol requires only one qubit transmission or two classical bits transmission in each channel in…

Quantum Physics · Physics 2009-11-13 Masahito Hayashi

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 information theory is the study of communication problems involving multiple senders, multiple receivers and intermediate relay stations. The purpose of this thesis is to extend the main ideas of classical network information theory…

Quantum Physics · Physics 2012-08-22 Ivan Savov

We find a protocol transmitting K quantum states crossly in the quantum networks with K pair sender-receiver and one bottleneck channels only with sharing quantum correlations between senders. In these networks senders want to multi cast…

Quantum Physics · Physics 2013-07-09 Mahmoud Mahdian , Roghayeh Bayramzadeh

We study the problem of decoding classical information encoded on quantum states at the output of a quantum channel, with particular focus on increasing the communication rates towards the maximum allowed by Quantum Mechanics. After a brief…

Quantum Physics · Physics 2017-10-25 Matteo Rosati

Over the past several decades, the proliferation of global classical communication networks has transformed various facets of human society. Concurrently, quantum networking has emerged as a dynamic field of research, driven by its…

Quantum Physics · Physics 2025-09-30 Joseph M. Lukens , Nicholas A. Peters , Bing Qi

Based on $d$-dimensional quantum full homomorphic encryption, an efficient and secure quantum network coding protocol is proposed in this paper. First, a quantum full homomorphic encryption protocol is constructed utilizing $d$-dimensional…

Quantum Physics · Physics 2023-05-26 Ning Wang , Fei Gao , Song Lin
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