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These lecture notes provide a brief overview of methods of entanglement theory applied to the study of quantum many-body systems, as well as of tensor network states capturing quantum states naturally appearing in condensed-matter systems.

Quantum Physics · Physics 2013-10-07 J. Eisert

The paper investigates the synchronization of a network of identical linear state-space models under a possibly time-varying and directed interconnection structure. The main result is the construction of a dynamic output feedback coupling…

Optimization and Control · Mathematics 2008-05-23 Luca Scardovi , Rodolphe Sepulchre

Collaboration between interconnected cyber-physical systems is becoming increasingly pervasive. Time-delays in communication channels between such systems are known to induce catastrophic failure modes, like high frequency oscillations in…

Systems and Control · Electrical Eng. & Systems 2021-09-23 Shankar A. Deka , Donggun Lee , Claire J. Tomlin

Cyber Physical Systems (CPS) are the conjoining of an entities' physical and computational elements. The development of a typical CPS system follows a sequence from conceptual modeling, testing in simulated (virtual) worlds, testing in…

Computers and Society · Computer Science 2014-08-05 Vijay Gadepally , Ashok Krishnamurthy , Umit Ozguner

This book serves as an introductory yet thorough guide to tensor networks and their applications in quantum computation and quantum information, designed for advanced undergraduate and graduate-level readers. In Part I, foundational topics…

Quantum Physics · Physics 2025-03-07 Mario Collura , Guglielmo Lami , Nishan Ranabhat , Alessandro Santini

Cyber-physical systems (CPS) can be found everywhere: smart homes, autonomous vehicles, aircrafts, healthcare, agriculture and industrial production lines. CPSs are often critical, as system failure can cause serious damage to property and…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-31 Richárd Szabó , András Vörös

Transmission and distribution dynamic co-simulation is a practical and effective approach to leverage existing simulation tools for transmission and distribution systems to simulate dynamic stability and performance of transmission and…

Systems and Control · Computer Science 2017-11-09 Qiuhua Huang , Renke Huang , Rui Fan , Jason Fuller , Trevor Hardy , Zhenyu , Huang , Vijay Vittal

The design and analysis of optimal control policies for dynamical systems can be complicated by nonlinear dependence in the state variables. Koopman operators have been used to simplify the analysis of dynamical systems by mapping the flow…

Dynamical Systems · Mathematics 2019-08-07 Craig Bakker , Steven Rosenthal , Kathleen E. Nowak

State-space models effectively model multivariate time series by updating over time a representation of the system state from which predictions are made. The state representation is usually a vector without any explicit structure.…

Machine Learning · Computer Science 2026-04-07 Daniele Zambon , Andrea Cini , Cesare Alippi

Dynamical maps describe general transformations of the state of a physical system, and their iteration can be interpreted as generating a discrete time evolution. Prime examples include classical nonlinear systems undergoing transitions to…

Quantum Physics · Physics 2013-11-19 P. Schindler , M. Müller , D. Nigg , J. T. Barreiro , E. A. Martinez , M. Hennrich , T. Monz , S. Diehl , P. Zoller , R. Blatt

As parallel computing trends towards the exascale, scientific data produced by high-fidelity simulations are growing increasingly massive. For instance, a simulation on a three-dimensional spatial grid with 512 points per dimension that…

Numerical Analysis · Computer Science 2017-01-05 Woody Austin , Grey Ballard , Tamara G. Kolda

This paper addresses the cooperative control problem of Thyristor-Controlled Series Compensation (TCSC) to eliminate the stress of cyber-physical power system. The cyber-physical power system is composed of power network, protection and…

Systems and Control · Computer Science 2018-05-28 Chao Zhai , Gaoxi Xiao , Hehong Zhang , Tso-Chien Pan

Cyber-Physical Systems (CPS) revolutionize various application domains with integration and interoperability of networking, computing systems, and mechanical devices. Due to its scale and variety, CPS faces a number of challenges and opens…

Networking and Internet Architecture · Computer Science 2017-01-09 Pradeeban Kathiravelu , Luís Veiga

This thesis deals with the study of quantum communication protocols with Continuous Variable (CV) systems. Continuous Variable systems are those described by canonical conjugated coordinates x and p endowed with infinite dimensional Hilbert…

Quantum Physics · Physics 2011-03-29 Carles Rodó

We propose a framework for modeling and estimating the state of controlled dynamical systems, where an agent can affect the system through actions and receives partial observations. Based on this framework, we propose the Predictive State…

Machine Learning · Statistics 2018-03-02 Ahmed Hefny , Carlton Downey , Geoffrey J. Gordon

A state in a d-dimensional Hilbert space can be simulated by a state defined in a different dimension with high fidelity. We assess how faithfully such the approximated state can perform quantum protocols, using an example of the squeezed…

Quantum Physics · Physics 2009-11-13 Petr Marek , M. S. Kim

Particle systems admit a variety of tensor product structures (TPSs) depending on the complete system of commuting observables chosen for the analysis. Different notions of entanglement are associated with these different TPSs. Global…

Quantum Physics · Physics 2011-05-12 N. L. Harshman , S. Wickramsekara

This paper is concerned with the detection, resilient and fault-tolerant control issues for cyber-physical systems. To this end, the impairment of system dynamics caused by the defined types of cyber-attacks and process faults is analyzed.…

Systems and Control · Electrical Eng. & Systems 2024-09-23 Linlin Li , Steven X. Ding , Liutao Zhou , Maiying Zhong , Kaixiang Peng

Predictive state representations (PSRs) offer an expressive framework for modelling partially observable systems. By compactly representing systems as functions of observable quantities, the PSR learning approach avoids using local-minima…

Machine Learning · Computer Science 2014-07-22 William L. Hamilton , Mahdi Milani Fard , Joelle Pineau

This paper analyzes general spatially-coupled (SC) systems with multi-dimensional coupling. A continuum approximation is used to derive potential functions that characterize the performance of the SC systems. For any dimension of coupling,…

Information Theory · Computer Science 2013-04-19 Keigo Takeuchi , Toshiyuki Tanaka , Kenta Kasai
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