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Across all scales of the physical world, dynamical systems can often be usefully represented as abstract networks that encode the system's units and inter-unit interactions. Understanding how physical rules shape the topological structure…

Mesoscale and Nanoscale Physics · Physics 2023-11-28 Abigail N. Poteshman , Mathieu Ouellet , Lee C. Bassett , Danielle S. Bassett

Quantum many-body systems are typically studied assuming translational symmetry in the interaction network. Recent experimental advances in various platforms for quantum simulators have enabled the realization of irregular interaction…

Quantum Physics · Physics 2025-05-19 Yoshiaki Horiike , Yuki Kawaguchi

We investigate quantum synchronization phenomenon within the complex network constituted by coupled optomechanical systems and prove the unknown identical quantum states can be shared or distributed in the quantum network even though the…

Quantum Physics · Physics 2017-03-08 Wenlin Li , Chong Li , Heshan Song

Non-destructive heralded entanglement with photons is a valuable resource for quantum information processing. However, they generally entail ancillary particles and modes that amplify the circuit intricacy. To address this challenge, a…

Quantum Physics · Physics 2024-12-25 Seungbeom Chin , Marcin Karczewski , Yong-Su Kim

In finite-dimensional systems, circuit knitting can be used to simulate non-classical quantum operations using a limited set of resources. In this work, we extend circuit knitting techniques to infinite-dimensional quantum systems. We…

Quantum Physics · Physics 2025-09-10 Shao-Hua Hu , Ray-Kuang Lee

We analyse the entanglement structure of states generated by random constant-depth two-dimensional quantum circuits, followed by projective measurements of a subset of sites. By deriving a rigorous lower bound on the average entanglement…

Quantum Physics · Physics 2025-05-21 Max McGinley , Wen Wei Ho , Daniel Malz

We introduce the use of entanglement entropy as a tool for studying the amount of information shared between the nodes of quantum complex networks. By considering the ground state of a network of coupled quantum harmonic oscillators, we…

Physics and Society · Physics 2013-05-16 Alessio Cardillo , Fernando Galve , David Zueco , Jesús Gómez-Gardeñes

We introduce a repeater scheme to efficiently distribute multipartite entangled states in a quantum network with optimal scaling. The scheme allows to generate graph states such as 2D and 3D cluster states of growing size or GHZ states over…

Quantum Physics · Physics 2019-01-30 Julius Wallnöfer , Alexander Pirker , Michael Zwerger , Wolfgang Dür

Quantum network states are multipartite states built from distributing pairwise entanglement among parties and underpin the paradigm of quantum networks for quantum information processing. In this work we introduce the problem of partial…

Quantum Physics · Physics 2025-09-30 Aitor Balmaseda , Julio I. de Vicente

We study the generation of singlets in quantum networks with nodes initially sharing a finite number of partially entangled bipartite mixed states. We prove that singlets between arbitrary nodes in such networks can be created if and only…

Quantum Physics · Physics 2010-04-26 S. Broadfoot , U. Dorner , D. Jaksch

We study the emergence of coherence in complex networks of mutually coupled non-identical elements. We uncover the precise dependence of the dynamical coherence on the network connectivity, on the isolated dynamics of the elements and the…

Adaptation and Self-Organizing Systems · Physics 2013-08-09 Tiago Pereira , Deniz Eroglu , G. B. Bagci , U. Tirnakli , Henrik J. Jensen

We study the production of entangled two- and N-mode quantum states of light in optical waveguides. To this end, we propose a quantum photonic circuit that produces a reconfigurable superposition of photon subtraction on two single-mode…

Quantum Physics · Physics 2020-05-05 David Barral , Jesús Liñares , Daniel Balado

Ensembles of networks arise in various fields where multiple independent networks are observed on the same set of nodes, for example, a collection of brain networks constructed on the same brain regions for different individuals. However,…

Methodology · Statistics 2022-01-21 Sa Ren , Xue Wang , Peng Liu , Jian Zhang

Evolution of charged quantum fields under the action of constant nonuniform electric fields is studied. To this end we construct a special generating functional for density operators of the quantum fields with different initial conditions.…

High Energy Physics - Theory · Physics 2019-06-25 S. P. Gavrilov , D. M. Gitman , A. A. Shishmarev

Entanglement is a fundamental resource for many applications in quantum information processing. Here, we investigate how quantum transport in simple quantum graphs, modeled as controlled two-level quantum systems, can be utilized to…

Quantum Physics · Physics 2025-10-24 Alison A. Silva , D. Bazeia , Fabiano M. Andrade

Quantum networking relies on entanglement distribution between distant nodes, typically realized by swapping procedures. However, entanglement swapping is a demanding task in practice, mainly because of limited effectiveness of entangled…

Statistical correlations that can be generated across the nodes in a quantum network depend crucially on its topology. However, this topological information might not be known a priori, or it may need to be verified. In this paper, we…

Quantum Physics · Physics 2024-01-08 Daniel T. Chen , Brian Doolittle , Jeffrey M. Larson , Zain H. Saleem , Eric Chitambar

Graph Convolutional Networks (GCNs) are one of the most popular architectures that are used to solve classification problems accompanied by graphical information. We present a rigorous theoretical understanding of the effects of graph…

Machine Learning · Computer Science 2022-08-03 Aseem Baranwal , Kimon Fountoulakis , Aukosh Jagannath

Multipartite entanglement and nonclassicality of four-mode Gaussian states generated in two simultaneous nonlinear processes involving parametric down-conversion and frequency up-conversion are analyzed assuming the vacuum as the initial…

Quantum Physics · Physics 2016-09-26 Ievgen I. Arkhipov , Jan Peřina , Ondřej Haderka , Alessia Allevi , Maria Bondani

The brain is a highly complex system. Most of such complexity stems from the intermingled connections between its parts, which give rise to rich dynamics and to the emergence of high-level cognitive functions. Disentangling the underlying…

Neurons and Cognition · Quantitative Biology 2023-08-14 Vito Dichio , Fabrizio De Vico Fallani
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