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We present an elementary derivation and generalisation of a recently reported method of simulating feedback in open quantum systems. We use our generalised method to simulate systems with multiple delays, as well as cascaded systems with…

Quantum Physics · Physics 2017-09-14 S. J. Whalen , A. L. Grimsmo , H. J. Carmichael

This special issue collects contributions from the participants of the "Information in Dynamical Systems and Complex Systems" workshop, which cover a wide range of important problems and new approaches that lie in the intersection of…

Chaotic Dynamics · Physics 2015-05-19 Erik M. Bollt , Jie Sun

In communication networks structure and dynamics are tightly coupled. The structure controls the flow of information and is itself shaped by the dynamical process of information exchanged between nodes. In order to reconcile structure and…

Physics and Society · Physics 2013-04-08 Jan O. Haerter , Bjorn Jamtveit , Joachim Mathiesen

If the information is encoded into the state of the subsystem $S$ of a quantum system initially (at $t=0$), then it becomes distributed over the whole quantum system at $t>0$ due to the quantum interactions. Consequently, this information,…

Quantum Physics · Physics 2015-05-30 A. I. Zenchuk

This paper focuses on the convergence of infor- mation in distributed systems of agents communicating over a network. The information on which the convergence is sought is not represented by real numbers, rather by sets of real numbers,…

Robotics · Computer Science 2011-01-13 Adriano Fagiolini , Nevio Dubbini , Antonio Bicchi

The optimal information feedback has a significant effect on many socioeconomic systems like stock market and traffic systems aiming to make full use of resources. In this paper, we studied dynamics of traffic flow with real-time…

Data Analysis, Statistics and Probability · Physics 2009-09-29 Dong Chuan-Fei , Ma Xu , Wang Guan-Wen , Sun Xiao-Yan , Wang Bing-Hong

Understanding the nature of high-quality summaries is crucial to further improve the performance of multi-document summarization. We propose an approach to characterize human-written summaries using partial information decomposition, which…

Computation and Language · Computer Science 2024-05-24 Laura Mascarell , Yan L'Homme , Majed El Helou

Background: Code review is a cognitively demanding and time-consuming process. Previous qualitative studies hinted at how decomposing change sets into multiple yet internally coherent ones would improve the reviewing process. So far,…

Software Engineering · Computer Science 2020-01-22 Marco di Biase , Magiel Bruntink , Arie van Deursen , Alberto Bacchelli

We propose an information-theoretic framework for analyzing control systems based on the close relationship of controllers to communication channels. A communication channel takes an input state and transforms it into an output state. A…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Hugo Touchette , Seth Lloyd

Reconstructions of quantum theory usually implicitly assume that experimental events are ordered within a global causal structure. The process matrix framework accommodates quantum correlations that violate an inequality verified by all…

Quantum Physics · Physics 2015-11-24 Issam Ibnouhsein , Alexei Grinbaum

A two-layer control architecture is proposed to enable scalable implementations for constraint-based decision strategies, such as model predictive controllers. The bottom layer is based upon a distributed feedback-feedforward scheme that…

Systems and Control · Electrical Eng. & Systems 2026-04-13 Andrei Sperilă , Alessio Iovine , Sorin Olaru , Patrick Panciatici

We extend a generalized integral fluctuation relation in diffusion processes that we obtained previously to the situation with feedback control. The general relation not only covers existing results but also predicts other unnoticed…

Statistical Mechanics · Physics 2015-06-17 Fei Liu , Hongcheng Xie , Zhiyue Lu

We highlight the underlying category-theoretic structure of measures of information flow. We present an axiomatic framework in which communication systems are represented as morphisms, and information flow is characterized by its behavior…

Category Theory · Mathematics 2008-07-21 Benjamin Allen

We consider a real-time communication system with noisy feedback consisting of a Markov source, a forward and a backward discrete memoryless channels, and a receiver with finite memory. The objective is to design an optimal communication…

Information Theory · Computer Science 2007-09-25 Aditya Mahajan , Demosthenis Teneketzis

Absorption yields an additional exponential decay in open quantum systems which can be described by shifting the (scattering) energy E along the imaginary axis, E+i\hbar/2\tau_{a}. Using the random matrix approach, we calculate analytically…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. V. Savin , H. -J. Sommers

Recently, the partial information decomposition emerged as a promising framework for identifying the meaningful components of the information contained in a joint distribution. Its adoption and practical application, however, have been…

Information Theory · Computer Science 2018-08-28 Ryan G. James , Jeffrey Emenheiser , James P. Crutchfield

A new paradigm for distributed quantum systems where information is a valuable resource is developed. After finding a unique measure for information, we construct a scheme for it's manipulation in analogy with entanglement theory. In this…

This paper addresses the decomposition of biochemical networks into functional modules that preserve their dynamic properties upon interconnection with other modules, which permits the inference of network behavior from the properties of…

Molecular Networks · Quantitative Biology 2014-12-03 Hari Sivakumar , Stephen R. Proulx , João P. Hespanha

This paper presents the foundation for a decomposition theory for Boolean networks, a type of discrete dynamical system that has found a wide range of applications in the life sciences, engineering, and physics. Given a Boolean network…

Dynamical Systems · Mathematics 2022-06-10 Claus Kadelka , Reinhard Laubenbacher , David Murrugarra , Alan Veliz-Cuba , Matthew Wheeler

Machine learning is used extensively in recommender systems deployed in products. The decisions made by these systems can influence user beliefs and preferences which in turn affect the feedback the learning system receives - thus creating…

Machine Learning · Statistics 2019-03-28 Ray Jiang , Silvia Chiappa , Tor Lattimore , András György , Pushmeet Kohli