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Classical communication paradigms focus on accurately transmitting bits over a noisy channel, and Shannon theory provides a fundamental theoretical limit on the rate of reliable communications. In this approach, bits are treated equally,…

Information Theory · Computer Science 2022-08-05 Jincheng Dai , Ping Zhang , Kai Niu , Sixian Wang , Zhongwei Si , Xiaoqi Qin

Classical communication paradigms focus on accurately transmitting bits over a noisy channel, and Shannon theory provides a fundamental theoretical limit on the rate of reliable communications. In this approach, bits are treated equally,…

Information Theory · Computer Science 2022-06-03 Jincheng Dai , Ping Zhang , Kai Niu , Sixian Wang , Zhongwei Si , Xiaoqi Qin

A class of cognitive interference channel with state is investigated, in which two transmitters (transmitters 1 and 2) communicate with two receivers (receivers 1 and 2) over an interference channel. The two transmitters jointly transmit a…

Information Theory · Computer Science 2012-07-10 Ruchen Duan Yingbin Liang

We study non-asymptotic fundamental limits for transmitting classical information over memoryless quantum channels, i.e. we investigate the amount of classical information that can be transmitted when a quantum channel is used a finite…

Quantum Physics · Physics 2015-05-20 Marco Tomamichel , Vincent Y. F. Tan

When transmitting information over a noisy channel, two approaches, dating back to Shannon's work, are common: assuming the channel errors are independent of the transmitted content and devising an error-correcting code, or assuming the…

Information Theory · Computer Science 2015-01-22 Ohad Elishco , Tom Meyerovitch , Moshe Schwartz

Given the possibility of communication systems failing catastrophically, we investigate limits to communicating over channels that fail at random times. These channels are finite-state semi-Markov channels. We show that communication with…

Information Theory · Computer Science 2015-03-24 Lav R. Varshney , Sanjoy K. Mitter , Vivek K Goyal

A class of channels is introduced for which there is memory inside blocks of a specified length and no memory across the blocks. The multi-user model is called an information network with in-block memory (NiBM). It is shown that…

Information Theory · Computer Science 2016-11-17 Gerhard Kramer

In an effort to develop the foundations for a non-stochastic theory of information, the notion of $\delta$-mutual information between uncertain variables is introduced as a generalization of Nair's non-stochastic information functional.…

Information Theory · Computer Science 2020-11-26 Anshuka Rangi , Massimo Franceschetti

The capacity of a time-varying block-memoryless channel in which the transmitter and the receiver have access to (possibly different) noisy causal channel side information (CSI) is obtained. It is shown that the capacity formula obtained in…

Information Theory · Computer Science 2008-06-09 Hamid Farmanbar , Amir K. Khandani

In this paper, we study a model of communication under adversarial noise. In this model, the adversary makes online decisions on whether to corrupt a transmitted bit based on only the value of that bit. Like the usual binary symmetric…

Information Theory · Computer Science 2014-01-21 Arya Mazumdar

Channel capacity describes the size of the nearly ideal channels, which can be obtained from many uses of a given channel, using an optimal error correcting code. In this paper we collect and compare minor and major variations in the…

Quantum Physics · Physics 2009-11-10 Dennis Kretschmann , Reinhard F Werner

The notion of memory capacity, originally introduced for echo state and linear networks with independent inputs, is generalized to nonlinear recurrent networks with stationary but dependent inputs. The presence of dependence in the inputs…

Optimization and Control · Mathematics 2020-10-28 Lukas Gonon , Lyudmila Grigoryeva , Juan-Pablo Ortega

The capacity of a class of multi-way relay channels, where L users communicate via a relay (at possibly different rates), is derived for the case where the channel outputs are modular sums of the channel inputs and the receiver noise. The…

Information Theory · Computer Science 2011-11-16 Lawrence Ong , Sarah J. Johnson , Christopher M. Kellett

Quantum communication channels and quantum memories are the fundamental building blocks of large-scale quantum communication networks. Estimating their capacity to transmit and store quantum information is crucial in order to assess the…

Quantum Physics · Physics 2022-12-01 Ya-Dong Wu , Giulio Chiribella

In this paper, we consider the discrete memoryless interference channel with common information, in which two senders need deliver not only private messages but also certain common messages to their corresponding receivers. We derive an…

Information Theory · Computer Science 2007-07-13 Jinhua Jiang , Yan Xin , Hari Krishna Garg

Shannon's theory of zero-error communication is re-examined in the broader setting of using one classical channel to simulate another exactly, and in the presence of various resources that are all classes of non-signalling correlations:…

Quantum Physics · Physics 2016-11-17 Toby S. Cubitt , Debbie Leung , William Matthews , Andreas Winter

In quantum Shannon theory, transmission of information is enhanced by quantum features. Up to very recently, the trajectories of transmission remained fully classical. Recently, a new paradigm was proposed by playing quantum tricks on two…

We investigate the multiple use of a ferromagnetic spin chain for quantum and classical communications without resetting. We find that the memory of the state transmitted during the first use makes the spin chain a qualitatively different…

Quantum Physics · Physics 2009-11-13 A. Bayat , D. Burgarth , S. Mancini , S. Bose

Feedback control actively dissipates uncertainty from a dynamical system by means of actuation. We develop a notion of "control capacity" that gives a fundamental limit (in bits) on the rate at which a controller can dissipate the…

Information Theory · Computer Science 2017-01-17 Gireeja Ranade , Anant Sahai

As the mobile application landscape expands, wireless networks are tasked with supporting various connection profiles, including real-time communications and delay-sensitive traffic. Among many ensuing engineering challenges is the need to…

Information Theory · Computer Science 2012-02-13 Fatemeh Hamidi-Sepehr , Jean-Francois Chamberland , Henry Pfister
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