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The generic feature of traffic in a network of flowing electronic data packets is a phase transition from a stationary free-flow phase to a continuously growing congested non-stationary phase. In the most simple network of directed oriented…

Statistical Mechanics · Physics 2009-11-11 G. Mukherjee , S. S. Manna

We analyze an idealized model for the transmission or flow of particles, or discrete packets of information, in a weight bearing branching hierarchical 2-D networks, and its variants. The capacities add hierarchically down the clusters.…

Statistical Mechanics · Physics 2015-03-19 Ajay Deep Kachhvah , Neelima Gupte

Quantum graphs with leads to infinity serve as convenient models for studying various aspects of systems which are usually attributed to chaotic scattering. They are also studied in several experimental systems and practical applications.…

Chaotic Dynamics · Physics 2015-02-23 Daniel Waltner , Uzy Smilansky

Some new findings for chaos-based wireless communication systems have been identified recently. First, chaos has proven to be the optimal communication waveform because chaotic signals can achieve the maximum signal to noise ratio at…

Signal Processing · Electrical Eng. & Systems 2022-04-21 Hai-Peng Ren , Hong-Er Zhao , Chao Bai , Hui-Ping Yin , Celso Grebogi

In this work, the problem of communicating decisions of a classifier over a noisy channel is considered. With machine learning based models being used in variety of time-sensitive applications, transmission of these decisions in a reliable…

Information Theory · Computer Science 2024-04-24 Noel Teku , Sudarshan Adiga , Ravi Tandon

In this paper we study the inherent trade-off between time and communication complexity for the distributed consensus problem. In our model, communication complexity is measured as the maximum data throughput (in bits per second) sent…

Systems and Control · Computer Science 2014-10-07 Federico Rossi , Marco Pavone

In various situations where wave transport is preeminent, like in wireless communication, a strong established transmission is present in a complex scattering environment. We develop a novel approach to describe emerging fluctuations, which…

Mesoscale and Nanoscale Physics · Physics 2020-10-08 Dmitry V. Savin , Martin Richter , Ulrich Kuhl , Olivier Legrand , Fabrice Mortessagne

In this article, we investigate strategic information transmission over a noisy channel. This problem has been widely investigated in Economics, when the communication channel is perfect. Unlike in Information Theory, both encoder and…

Information Theory · Computer Science 2018-07-16 Mael Le Treust , Tristan Tomala

In "On Coding for Reliable Communication over Packet Networks" (Lun, Medard, and Effros, Proc. 42nd Annu. Allerton Conf. Communication, Control, and Computing, 2004), a capacity-achieving coding scheme for unicast or multicast over lossy…

Information Theory · Computer Science 2007-07-16 Desmond S. Lun , Muriel Medard , Ralf Koetter , Michelle Effros

The theory of quantum trajectories is applied to simulate the effects of quantum noise sources induced by the environment on quantum information protocols. We study two models that generalize single qubit noise channels like amplitude…

Quantum Physics · Physics 2007-05-23 Gabriel G. Carlo , Giuliano Benenti , Giulio Casati , Carlos Mejia-Monasterio

A distributed adaptive algorithm to estimate a time-varying signal, measured by a wireless sensor network, is designed and analyzed. One of the major features of the algorithm is that no central coordination among the nodes needs to be…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-10-22 Carlo Fischione , Alberto Speranzon , Karl H. Johansson , Alberto Sangiovanni-Vincentelli

In a quantum communication network, links represent entanglement between qubits located at different nodes. Even if two nodes are not directly linked by shared entanglement, communication channels can be established between them via quantum…

Quantum Physics · Physics 2025-03-07 Xiangyi Meng , Bingjie Hao , Balázs Ráth , István A. Kovács

Quantum information is defined by applying the concepts of ordinary (Shannon) information theory to a quantum sample space consisting of a single framework or consistent family. A classical analogy for a spin-half particle and other…

Quantum Physics · Physics 2009-11-07 Robert B. Griffiths

We present a technique of proving lower bounds for noisy computations. This is achieved by a theorem connecting computations on a kind of randomized decision trees and sampling based algorithms. This approach is surprisingly powerful, and…

Computational Complexity · Computer Science 2015-03-03 Chinmoy Dutta , Jaikumar Radhakrishnan

The invariance of the Lyapunov exponent of a chaotic signal as it propagates along a wireless transmission channel provides a theoretical base for the application of chaos in wireless communication. In additive Gaussian channel, the chaotic…

Signal Processing · Electrical Eng. & Systems 2022-04-21 Hai-Peng Ren , Wu-Yun Zheng , Celso Grebogi

Transfer entropy is capable of capturing nonlinear source-destination relations between multi-variate time series. It is a measure of association between source data that are transformed into destination data via a set of linear…

Information Theory · Computer Science 2019-05-28 David Sigtermans

Quantum teleportation is a quantum communication primitive that allows a long-distance quantum channel to be built using pre-shared entanglement and one-way classical communication. However, the quality of the established channel crucially…

Quantum Physics · Physics 2024-06-05 Eric Chitambar , Felix Leditzky

The problem of adaptively setting the timeout interval for retransmitting a packet has been discussed. A layered view of the algorithms has been presented. It is shown that a timeout algorithm consists of essentially five layers or…

Networking and Internet Architecture · Computer Science 2007-05-23 R. Jain

We study structural feature and evolution of the Internet at the autonomous systems level. Extracting relevant parameters for the growth dynamics of the Internet topology, we construct a toy model for the Internet evolution, which includes…

Physics and Society · Physics 2015-06-26 H. K. Lee , K. -I. Goh , B. Kahng , D. Kim

We show a tight lower bound of $\Omega(N \log\log N)$ on the number of transmissions required to compute the parity of $N$ input bits with constant error in a noisy communication network of $N$ randomly placed sensors, each having one input…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-02-10 Chinmoy Dutta , Yashodhan Kanoria , D. Manjunath , Jaikumar Radhakrishnan