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We consider the basic features of complex dynamical and control systems. Special attention is paid to the problems of synthesis of dynamical models of complex systems, construction of efficient control models, and to the development of…

Computational Engineering, Finance, and Science · Computer Science 2009-07-03 Armen Bagdasaryan

In this work, we perform a careful study of an special arrangement of coupled systems that consists of two external harmonic oscillators weakly coupled to an arbitrary network (data bus) of strongly interacting oscillators. Our aim is to…

Quantum Physics · Physics 2016-08-25 F. Nicacio , F. L. Semião

The main purpose of thispaper is to show that composite quantum-like (QL) systems can closely mimic the separable states of quantum systems, and that suitable physical systems exhibiting these states exist. It is shown that QL graphs can…

Quantum Physics · Physics 2026-03-24 Gregory D. Scholes

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

This paper presents the design of scalable quantum networks that utilize optical switches to interconnect multiple quantum processors, facilitating large-scale quantum computing. By leveraging these novel architectures, we aim to address…

In this paper, we formulate and solve a guaranteed cost control problem for a class of uncertain linear stochastic quantum systems. For these quantum systems, a connection with an associated classical (non-quantum) system is first…

Quantum Physics · Physics 2011-07-29 A. J. Shaiju , I. R. Petersen , M. R. James

Nonlinear quantum optical systems are of paramount relevance for modern quantum technologies, as well as for the study of dissipative phase transitions. Their nonlinear nature makes their theoretical study very challenging and hence they…

Quantum Physics · Physics 2015-06-03 Peter Degenfeld-Schonburg , Carlos Navarrete-Benlloch , Michael J. Hartmann

A future quantum network will consist of quantum processors that are connected by quantum channels, just like conventional computers are wired up to form the Internet. In contrast to classical devices, however, the entanglement and…

Quantum Physics · Physics 2022-12-28 Andreas Reiserer

We examine microscopic mechanisms for coupling stochastic oscillators so that they display similar and correlated temporal variations. Unlike oscillatory motion in deterministic dynamical systems, complete synchronization of stochastic…

Quantitative Methods · Quantitative Biology 2009-09-29 Amitabha Nandi , G. Santhosh , R. K. Brojen Singh , Ram Ramaswamy

We establish the potential of continuous-variable Gaussian states of linear dynamical systems for machine learning tasks. Specifically, we consider reservoir computing, an efficient framework for online time series processing. As a…

Entanglement between large numbers of quantum modes is the quintessential resource for future technologies such as the quantum internet. Conventionally the generation of multimode entanglement in optics requires complex layouts of…

The purpose of this paper is to formulate and solve a H-infinity controller synthesis problem for a class of non-commutative linear stochastic systems which includes many examples of interest in quantum technology. The paper includes…

Quantum Physics · Physics 2009-04-09 M. R. James , H. I. Nurdin , I. R. Petersen

This paper deals with the data-driven synthesis of dissipative linear systems in discrete time. We collect finitely many noisy data samples with which we synthesise a controller that makes all systems that explain the data dissipative with…

Optimization and Control · Mathematics 2025-01-31 Encho T. Nguyen , Henk J. van Waarde

We show that open-loop dynamical control techniques may be used to synthesize unitary transformations in open quantum systems in such a way that decoherence is perturbatively compensated for to a desired (in principle arbitrarily high)…

Quantum Physics · Physics 2010-07-20 Kaveh Khodjasteh , Daniel A. Lidar , Lorenza Viola

In a network of dynamical systems, concurrent synchronization is a regime where multiple groups of fully synchronized elements coexist. In the brain, concurrent synchronization may occur at several scales, with multiple ``rhythms''…

Neurons and Cognition · Quantitative Biology 2007-05-23 Quang-Cuong Pham , Jean-Jacques Slotine

In this paper, we consider the dynamical modeling of a class of quantum network systems consisting of qubits. Qubit probes are employed to measure a set of selected nodes of the quantum network systems. For a variety of applications, a…

Systems and Control · Electrical Eng. & Systems 2020-05-01 Qi Yu , Yuanlong Wang , Daoyi Dong , Ian R. Petersen , Guo-Yong Xiang

In order for quantum communications systems to become widely used, it will probably be necessary to develop quantum repeaters that can extend the range of quantum key distribution systems and correct for errors in the transmission of…

Quantum Physics · Physics 2007-05-23 J. D. Franson , B. C. Jacobs , T. B. Pittman

A system of coupled oscillators on an arbitrary graph is locally driven by the tendency to mutual synchronization between nearby oscillators, but can and often exhibit nonlinear behavior on the whole graph. Understanding such nonlinear…

Dynamical Systems · Mathematics 2023-11-28 Agam Goyal , Zhaoxing Wu , Richard P. Yim , Binhao Chen , Zihong Xu , Hanbaek Lyu

This paper considers the problem of constructing a distributed direct coupling quantum observer for a closed linear quantum system. The proposed distributed observer consists of a network of quantum harmonic oscillators and it is shown that…

Quantum Physics · Physics 2015-03-06 Ian R. Petersen

Linear optical quantum networks, consisting of a quantum input state and a multi-port interferometer, are an important building block for many quantum technological concepts, e.g., Gaussian boson sampling. Here, we propose the…

Quantum Physics · Physics 2024-02-13 Patrick Folge , Michael Stefszky , Benjamin Brecht , Christine Silberhorn