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This paper introduces the concept of abstracted model reduction: a framework to improve the tractability of structure-preserving methods for the complexity reduction of interconnected system models. To effectively reduce high-order,…

Systems and Control · Electrical Eng. & Systems 2024-11-21 Luuk Poort , Lars A. L. Janssen , Bart Besselink , Rob H. B. Fey , Nathan van de Wouw

We demonstrate the advantages of randomization in coherent quantum dynamical control. For systems which are either time-varying or require decoupling cycles involving a large number of operations, we find that simple randomized protocols…

Quantum Physics · Physics 2009-11-13 Lea F. Santos , Lorenza Viola

We show that it is possible to learn protocols that effect fast and efficient state-to-state transformations in simulation models of active particles. By encoding the protocol in the form of a neural network we use evolutionary methods to…

Statistical Mechanics · Physics 2024-03-29 Corneel Casert , Stephen Whitelam

Many cryptographic protocols are designed to achieve their goals using only messages passed over an open network. Numerous tools, based on well-understood foundations, exist for the design and analysis of protocols that rely purely on…

Cryptography and Security · Computer Science 2018-04-17 Joshua D. Guttman , Moses D. Liskov , John D. Ramsdell , Paul D. Rowe

The ordinal approach to evaluate time series due to innovative works of Bandt and Pompe has increasingly established itself among other techniques of nonlinear time series analysis. In this paper, we summarize and generalize the theory of…

Dynamical Systems · Mathematics 2017-10-19 Karsten Keller , Sergiy Maksymenko , Inga Stolz

We consider state-based systems modelled as coalgebras whose type incorporates branching, and show that by suitably adapting the definition of coalgebraic bisimulation, one obtains a general and uniform account of the linear-time behaviour…

Logic in Computer Science · Computer Science 2013-09-05 Corina Cirstea

State-space reduction techniques, used primarily in model-checkers, all rely on the idea that some actions are independent, hence could be taken in any (respective) order while put in parallel, without changing the semantics. It is thus not…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-04-03 Lisbeth Fajstrup , Eric Goubault , Emmanuel Haucourt , Samuel Mimram , Martin Raussen

Probabilistic programming is related to a compositional approach to stochastic modeling by switching from discrete to continuous time dynamics. In continuous time, an operator-algebra semantics is available in which processes proceeding in…

Artificial Intelligence · Computer Science 2012-12-05 Eric Mjolsness

Among the most fundamental questions in the manipulation of quantum resources such as entanglement is the possibility of reversibly transforming all resource states. The key consequence of this would be the identification of a unique…

Quantum Physics · Physics 2024-04-18 Bartosz Regula , Ludovico Lami

Gathering the most information by picking the least amount of data is a common task in experimental design or when exploring an unknown environment in reinforcement learning and robotics. A widely used measure for quantifying the…

Machine Learning · Statistics 2015-09-17 Johannes Kulick , Robert Lieck , Marc Toussaint

We present a general approach to quantum entanglement and entropy that is based on algebras of observables and states thereon. In contrast to more standard treatments, Hilbert space is an emergent concept, appearing as a representation…

Mathematical Physics · Physics 2013-08-09 A. P. Balachandran , T. R. Govindarajan , Amilcar R. de Queiroz , A. F. Reyes-Lega

We study the problem of approximately transforming a sample from a source statistical model to a sample from a target statistical model without knowing the parameters of the source model, and construct several computationally efficient such…

Statistics Theory · Mathematics 2024-09-19 Mengqi Lou , Guy Bresler , Ashwin Pananjady

This work is an enquiry into the circumstances under which entropy methods can give an answer to the questions of both quantum separability and classical correlations of a composite state. Several entropy functionals are employed to examine…

Quantum Physics · Physics 2009-11-07 A. K. Rajagopal , R. W. Rendell

The past decades have seen increasing interest in modelling uncertainty by heterogeneous methods, combining probability and interval analysis, especially for assessing parameter uncertainty in engineering models. A unifying mathematical…

Probability · Mathematics 2022-08-15 Jelena Karakašević , Michael Oberguggenberger

The importance of state estimation in fluid mechanics is well-established; it is required for accomplishing several tasks including design/optimization, active control, and future state prediction. A common tactic in this regards is to rely…

Fluid Dynamics · Physics 2022-03-14 Yash Kumar , Pranav Bahl , Souvik Chakraborty

Analyzing and controlling system entropy is a powerful tool for regulating predictability of control systems. Applications benefiting from such approaches range from reinforcement learning and data security to human-robot collaboration. In…

Systems and Control · Electrical Eng. & Systems 2026-03-06 Menno van Zutphen , Giannis Delimpaltadakis , Duarte J. Antunes

We describe a method for reconstructing multi-scale entangled states from a small number of efficiently-implementable measurements and fast post-processing. The method only requires single particle measurements and the total number of…

Quantum Physics · Physics 2014-12-02 Olivier Landon-Cardinal , David Poulin

The thermodynamic entropy of coarse-grained (CG) models stands as one of the most important properties for quantifying the missing information during the CG process and for establishing transferable (or extendible) CG interactions. However,…

Chemical Physics · Physics 2024-04-10 Jaehyeok Jin , David R. Reichman

The model of population protocols provides a universal platform to study distributed processes driven by pairwise interactions of anonymous agents. While population protocols present an elegant and robust model for randomized distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-23 Adam Gańczorz , Leszek Gąsieniec , Tomasz Jurdziński , Jakub Kowalski , Grzegorz Stachowiak

The design of efficient quantum information processing will rely on optimal nonequilibrium transitions of driven quantum systems. Building on a recently-developed geometric framework for computing optimal protocols for classical systems…

Statistical Mechanics · Physics 2015-10-28 Patrick R. Zulkowski , Michael R. DeWeese