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Complex networks obtained from the real-world networks are often characterized by incompleteness and noise, consequences of limited sampling as well as artifacts in the acquisition process. Because the characterization, analysis and…

Physics and Society · Physics 2008-06-24 P. R. Villas Boas , F. A. Rodrigues , G. Travieso , L. da F. Costa

We consider quantum graph states that can be mapped to directed weighted graphs, also known as directed networks. The geometric measure of entanglement of the states is calculated for the quantum graph states corresponding to arbitrary…

Quantum Physics · Physics 2024-10-01 Kh. P. Gnatenko

Quantum neural networks (QNNs), an interdisciplinary field of quantum computing and machine learning, have attracted tremendous research interests due to the specific quantum advantages. Despite lots of efforts developed in computer vision…

Quantum Physics · Physics 2022-11-15 Kaixiong Zhou , Zhenyu Zhang , Shengyuan Chen , Tianlong Chen , Xiao Huang , Zhangyang Wang , Xia Hu

In recent years a number of quantum computing devices with small numbers of qubits became available. We present a hybrid quantum local search (QLS) approach that combines a classical machine and a small quantum device to solve problems of…

Quantum Physics · Physics 2022-06-16 Ruslan Shaydulin , Hayato Ushijima-Mwesigwa , Ilya Safro , Susan Mniszewski , Yuri Alexeev

Link prediction methods use patterns in known network data to infer which connections may be missing. Previous work has shown that continuous-time quantum walks can be used to represent path-based link prediction, which we further study…

Quantum Physics · Physics 2022-12-01 João P. Moutinho , Duarte Magano , Bruno Coutinho

The theory of community structure is a powerful tool for real networks, which can simplify their topological and functional analysis considerably. However, since community detection methods have random factors and real social networks…

Physics and Society · Physics 2015-03-30 Hui-Jia Li , Hao Wang , Luonan Chen

Detecting coherence transfer in complex quantum networks can be challenging due to uncharacterized experimental conditions and limited system access. Here, we use static and dynamic coherence features to introduce a nonlinear criterion for…

We review the main findings on the ranking capabilities of the recently proposed Quantum PageRank algorithm (G.D. Paparo et al., Sci. Rep. 2, 444 (2012) and G.D. Paparo et al., Sci. Rep. 3, 2773 (2013)) applied to large complex networks.…

Quantum Physics · Physics 2014-09-15 G. D. Paparo , M. Müller , F. Comellas , M. A. Martin-Delgado

The topology of classical networks is determined by physical links between nodes, and after a network request the links are used to establish the desired connections. Quantum networks offer the possibility to generate different kinds of…

Quantum Physics · Physics 2023-02-15 Jorge Miguel-Ramiro , Alexander Pirker , Wolfgang Dür

We develop a methodology for analyzing the percolation phenomena of two mutually coupled (interdependent) networks based on the cavity method of statistical mechanics. In particular, we take into account the influence of degree-degree…

Disordered Systems and Neural Networks · Physics 2014-02-11 Shunsuke Watanabe , Yoshiyuki Kabashima

Networks are useful for describing systems of interacting objects, where the nodes represent the objects and the edges represent the interactions between them. The applications include chemical and metabolic systems, food webs as well as…

Computational Physics · Physics 2009-10-20 Baruch Barzel , Ofer Biham

Complex networks are formal frameworks capturing the interdependencies between the elements of large systems and databases. This formalism allows to use network navigation methods to rank the importance that each constituent has on the…

Quantum Physics · Physics 2012-09-07 Eduardo Sánchez-Burillo , Jordi Duch , Jesús Gómez-Gardenes , David Zueco

We present an approach to purification and entanglement routing on complex quantum network architectures, that is, how a quantum network equipped with imperfect channel fidelities and limited memory storage time can distribute entanglement…

Large-scale quantum networks, necessary for distributed quantum information processing, are posited to have quantum entangled systems between distant network nodes. The extent and quality of distributed entanglement in a quantum network,…

Quantum Physics · Physics 2024-01-08 Md Sohel Mondal , Dov Fields , Vladimir S. Malinovsky , Siddhartha Santra

Network classification aims to group networks (or graphs) into distinct categories based on their structure. We study the connection between classification of a network and of its constituent nodes, and whether nodes from networks in…

Social and Information Networks · Computer Science 2022-08-04 Saray Shai , Isaac Jacobs , Peter J. Mucha

Community detection is a very active field in complex networks analysis, consisting in identifying groups of nodes more densely interconnected relatively to the rest of the network. The existing algorithms are usually tested and compared on…

Social and Information Networks · Computer Science 2012-08-16 Günce Orman , Vincent Labatut , Hocine Cherifi

Quantum entanglement plays a crucial role in quantum information processing tasks and quantum mechanics, hence quantifying unknown entanglement is a fundamental task. However, this is also challenging, as entanglement cannot be measured by…

Quantum Physics · Physics 2021-04-27 Xiaodie Lin , Zhenyu Chen , Zhaohui Wei

Complex network topology might get pretty complicated challenging many network analysis objectives, such as community detection for example. This however makes common emergent network phenomena such as scale-free topology or small-world…

Social and Information Networks · Computer Science 2018-06-12 Stanislav Sobolevsky

Distributing quantum correlations to each node of a network is a key aspect of quantum networking. Here, we present a robust, physically motivated protocol by which global quantum correlations, as characterized by the discord, can be…

Quantum Physics · Physics 2025-01-15 Adam G. Hawkins , Hannah McAleese , Mauro Paternostro

Complex networks can be understood as graphs whose connectivity deviates from those of regular or near-regular graphs, which are understood as being `simple'. While a great deal of the attention so far dedicated to complex networks has been…

Data Analysis, Statistics and Probability · Physics 2008-08-29 Luciano da Fontoura Costa , Francisco A. Rodrigues