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Comparative analyses of graph structured datasets underly diverse problems. Examples of these problems include identification of conserved functional components (biochemical interactions) across species, structural similarity of large…

Quantum Physics · Physics 2014-09-25 Anmer Daskin , Ananth Grama , Sabre Kais

The distribution of entanglement in quantum networks is typically approached under idealized assumptions such as perfect synchronization and centralized control, while classical communication is often neglected. However, these assumptions…

Quantum Physics · Physics 2024-06-04 Shahrooz Pouryousef , Hassan Shapourian , Don Towsley

We introduce a mapping between graphs and pure quantum bipartite states and show that the associated entanglement entropy conveys non-trivial information about the structure of the graph. Our primary goal is to investigate the family of…

Quantum Physics · Physics 2012-02-24 Silvano Garnerone , Paolo Giorda , Paolo Zanardi

The theory of the asymptotic manipulation of pure bipartite quantum systems can be considered completely understood: The rates at which bipartite entangled states can be asymptotically transformed into each other are fully determined by a…

Quantum Physics · Physics 2020-08-26 A. Streltsov , C. Meignant , J. Eisert

In this work we study the problem of unconstrained convex-optimization in a fully distributed multi-agent setting which includes asynchronous computation and lossy communication. In particular, we extend a recently proposed algorithm named…

Optimization and Control · Mathematics 2017-07-31 Nicoletta Bof , Ruggero Carli , Giuseppe Notarstefano , Luca Schenato , Damiano Varagnolo

Synchronization in systems of coupled Kuramoto oscillators may depend on their natural frequencies, coupling, and underlying networks. In this paper, we reduce the alternatives to only one by considering identical oscillators where the only…

Adaptation and Self-Organizing Systems · Physics 2019-11-11 Yury Sokolov , G. Bard Ermentrout

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

Graph states are an important class of multipartite entangled quantum states. We propose a new approach for distributing graph states across a quantum network. We consider a quantum network consisting of nodes-quantum computers within which…

Quantum Physics · Physics 2025-12-09 Alex Fischer , Don Towsley

We analyze the effect of interference on the convergence rate of average consensus algorithms, which iteratively compute the measurement average by message passing among nodes. It is usually assumed that these algorithms converge faster…

Information Theory · Computer Science 2015-05-20 Sundaram Vanka , Martin Haenggi , Vijay Gupta

We consider the problems of reaching average consensus and solving consensus-based optimization over unreliable communication networks wherein packets may be dropped accidentally during transmission. Existing work either assumes that the…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-12-11 Lili Su

We consider the problem of making a set of states invariant for a network of controlled systems. We assume that the subsystems, initially uncoupled, must be interconnected through controllers to be designed with a constraint on the data…

Optimization and Control · Mathematics 2014-09-23 Christoph Kawan , Jean-Charles Delvenne

We introduce a general mathematical framework for distributed algorithms, and a monotonicity property frequently satisfied in application. These properties are leveraged to provide finite-time guarantees for converging algorithms, suited…

Systems and Control · Electrical Eng. & Systems 2020-07-31 James Melbourne , Govind Saraswat , Vivek Khatana , Sourav Patel , Murti V. Salapaka

Inspired by distributed resource allocation problems in dynamic topology networks, we initiate the study of distributed consensus with finite messaging passing. We first find a sufficient condition on the network graph for which no…

Information Theory · Computer Science 2010-07-01 Debashis Dash , Ashutosh Sabharwal

We propose an asynchronous, decentralized algorithm for consensus optimization. The algorithm runs over a network in which the agents communicate with their neighbors and perform local computation. In the proposed algorithm, each agent can…

Optimization and Control · Mathematics 2017-03-06 Tianyu Wu , Kun Yuan , Qing Ling , Wotao Yin , Ali H. Sayed

In this note we give sufficient conditions for the convergence of the iterative algorithm called weighted-average consensus in directed graphs. We study the discrete-time form of this algorithm. We use standard techniques from matrix theory…

Optimization and Control · Mathematics 2013-07-30 Francisco Pedroche , Miguel Rebollo , Carlos Carrascosa , Alberto Palomares

Measurement-Based Quantum Computing (MBQC) is inherently well-suited for Distributed Quantum Computing (DQC): once a resource state is prepared and distributed across a network of quantum nodes, computation proceeds through local…

Quantum Physics · Physics 2026-01-13 Kjell Fredrik Pettersen , Matthias Heller , Giorgio Sartor , Raoul Heese

Consensus of autonomous agents is a benchmark problem in cooperative control. In this paper, we consider standard continuous-time averaging consensus policies (or Laplacian flows) over time-varying graphs and focus on robustness of…

Systems and Control · Electrical Eng. & Systems 2020-09-08 Anton V. Proskurnikov , Guiseppe Calafiore

This paper consider a standard consensus algorithm under output saturations. In the presence of output saturations, global consensus can not be realized due to the existence of stable, unachievable equilibrium points for the consensus.…

Systems and Control · Computer Science 2016-06-21 Young-Hun Lim , Hyo-Sung Ahn

We consider a basic quantum hybrid network model consisting of a number of nodes each holding a qubit, for which the aim is to drive the network to a consensus in the sense that all qubits reach a common state. Projective measurements are…

Quantum Physics · Physics 2016-07-12 Guodong Shi , Bo Li , Zibo Miao , Peter M. Dower , Matthew R. James

In this paper, we investigate the problem of dual-rate consensus under transmission delays, where the control updates happen at a faster rate than the measurements being received. We assume that the measurements are delayed by a fixed delay…

Systems and Control · Electrical Eng. & Systems 2025-06-04 David Umsonst , Mina Ferizbegovic
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