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Synchronization is a universal phenomenon that is important both in fundamental studies and in technical applications. Here we investigate synchronization in the simplest quantum-mechanical scenario possible, i.e., a quantum-mechanical…

Mesoscale and Nanoscale Physics · Physics 2014-04-02 Stefan Walter , Andreas Nunnenkamp , Christoph Bruder

Network theory has played a dominant role in understanding the structure of complex systems and their dynamics. Recently, quantum complex networks, i.e. collections of quantum systems in a non-regular topology, have been explored leading to…

Scale-free networks are ubiquitous in social, biological and technological networked systems. Dynamic Scale-free networks and their synchronizations are important to understand and predict the behavior of social, biological and…

Social and Information Networks · Computer Science 2024-09-16 Rakib Hassan Pran

A "chimera state" is a dynamical pattern that occurs in a network of coupled identical oscillators when the symmetry of the oscillator population is broken into synchronous and asynchronous parts. We report the experimental observation of…

Chaotic Dynamics · Physics 2023-04-17 Joseph D. Hart , Kanika Bansal , Thomas E. Murphy , Rajarshi Roy

The emergence of order in nature manifests in different phenomena, with synchronization being one of the most representative examples. Understanding the role played by the interactions between the constituting parts of a complex system in…

Pattern Formation and Solitons · Physics 2025-10-22 Riccardo Muolo , Joseph D. O'Brien , Timoteo Carletti , Malbor Asllani

We study synchronization of non-diffusively coupled map networks with arbitrary network topologies, where the connections between different units are, in general, not symmetric and can carry both positive and negative weights. We show that,…

Chaotic Dynamics · Physics 2010-02-09 Frank Bauer , Fatihcan M. Atay , Juergen Jost

Quantum synchronization has been a subject of intensive research in the last decade. In this work, we propose a quantum Li\'enard system whose classical equivalent features two limit cycles to one of which the system will converge. In the…

Quantum Physics · Physics 2025-08-15 Tobias Kehrer , Christoph Bruder , Parvinder Solanki

We study a quantum state transfer between spins interacting with an arbitrary network of spins coupled by uniform XX interactions. It is shown that in such a system under fairly general conditions, we can expect a nearly perfect transfer of…

Quantum Physics · Physics 2015-06-26 A. Wojcik , T. Luczak , P. Kurzynski , A. Grudka , T. Gdala , M. Bednarska

We study the emergence of synchronization in scale-free networks by considering the Kuramoto model of coupled phase oscillators. The natural frequencies of oscillators are assumed to be correlated with their degrees and a time delay is…

Statistical Mechanics · Physics 2012-03-07 Thomas Kauê Dal'Maso Peron , Francisco Aparecido Rodrigues

We present in this paper, the synchronization dynamics observed in a network of mutually coupled simple chaotic systems. The network consisting of chaotic systems arranged in a square matrix network is studied for their different types of…

Chaotic Dynamics · Physics 2019-09-26 G. Sivaganesh , A. Arulgnanam , A. N. Seethalakshmi

Real-world systems in epidemiology, social sciences, power transportation, economics and engineering are often described as multilayer networks. Here we first define and compute the symmetries of multilayer networks, and then study the…

Chaotic Dynamics · Physics 2020-07-29 F. Della Rossa , L. Pecora , K. Blaha , A. Shirin , I. Klickstein , F. Sorrentino

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

We study explosive synchronization, a phenomenon characterized by first-order phase transitions between incoherent and synchronized states in networks of coupled oscillators. While explosive synchronization has been the subject of many…

Adaptation and Self-Organizing Systems · Physics 2014-08-22 Per Sebastian Skardal , Alex Arenas

Phase synchronization was proved to be unbounded in quantum level, but the witness of phase synchronization is always expensive in terms of the quantum resource and non-local measurements involved. Based on the quantum uncertainty relation,…

Quantum Physics · Physics 2020-06-08 Shao-Qiang Ma , Xiao Zheng , Guo-Feng Zhang

Quantum communication is a growing area of research, with quantum internet being one of the most promising applications. Studying the statistical properties of this network is essential to understanding its connectivity and the efficiency…

Understanding the origin of phase synchronization between quantum self-sustained oscillators has garnered significant interest in recent years. In this work, we study phase synchronization in three settings: between two continuous-variable…

Quantum Physics · Physics 2025-06-03 Mohit Kumar , Bijay Kumar Agarwalla

The exploitation of quantum coherence at the level of propagation represents a powerful paradigm for quantum communication networks. In this work, we show that the coherent superposition of spatially distinct communication links enables…

Quantum Physics · Physics 2026-05-14 Claudio Pellitteri , Rajiuddin Sk , Marcello Caleffi , Angela Sara Cacciapuoti

Recent advances in quantum technologies are rapidly stimulating the building of quantum networks. With the parallel development of multiple physical platforms and different types of encodings, a challenge for present and future networks is…

Quantum Physics · Physics 2021-04-14 G. Guccione , T. Darras , H. Le Jeannic , V. B. Verma , S. W. Nam , A. Cavaillès , J. Laurat

A network of delay-coupled logistic maps exhibits two different synchronization regimes, depending on the distribution of the coupling delay times. When the delays are homogeneous throughout the network, the network synchronizes to a…

Adaptation and Self-Organizing Systems · Physics 2011-05-31 Cristina Masoller , Fatihcan M. Atay

Multi-qubit quantum processors coupled to networking provides the state-of-the-art quantum computing platform. However, each qubit has unique eigenfrequency even though fabricated in the same process. To continue quantum gate operations…

Quantum Physics · Physics 2023-01-12 Abhijit Bhattacharyya