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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

In Shannon information theory the capacity of a memoryless communication channel cannot be increased by the use of feedback. In quantum information theory the no-cloning theorem means that noiseless copying and feedback of quantum…

Quantum Physics · Physics 2016-11-17 Garry Bowen

Classically, communication systems are designed assuming perfect channel state information at the receiver and/or transmitter. However, in many practical situations, only an estimate of the channel is available that differs from the true…

Information Theory · Computer Science 2007-07-13 Pablo Piantanida , Gerald Matz , Pierre Duhamel

An upper bound to the identification capacity of discrete memoryless wiretap channels is derived under the requirement of semantic effective secrecy, combining semantic secrecy and stealth constraints. A previously established lower bound…

Information Theory · Computer Science 2023-06-27 Johannes Rosenberger , Abdalla Ibrahim , Boulat A. Bash , Christian Deppe , Roberto Ferrara , Uzi Pereg

This work is motivated by a quite general question: Under which circumstances are the capacities of information transmission systems continuous? The research is explicitly carried out on arbitrarily varying quantum channels (AVQCs). We give…

Quantum Physics · Physics 2015-06-18 H. Boche , J. Noetzel

The channel capacity for the binary symmetric channel is investigated based on the symmetrized definition of the mutual information, which is arising from an attempt of extension of information content based on the nonadditivity. The…

Statistical Mechanics · Physics 2016-08-31 Takuya Yamano

I explore the limitations on the capacity of a relativistic channel to transmit power and information that arise because of the finiteness of the transverse speed of light. As a model system, I consider a rope constructed from a fundamental…

High Energy Physics - Theory · Physics 2024-05-24 Adam R. Brown

The information carrying capacity of the d-dimensional depolarizing channel is computed. It is shown that this capacity can be achieved by encoding messages as products of pure states belonging to an orthonormal basis of the state space,…

Quantum Physics · Physics 2007-05-23 C. King

This paper considers the scenario in which a set of nodes share a common channel. Some nodes have a rechargeable battery and the others are plugged to a reliable power supply and, thus, have no energy limitations. We consider two…

Information Theory · Computer Science 2011-08-02 Nikolaos Pappas , Jeongho Jeon , Anthony Ephremides , Apostolos Traganitis

Which communication rates can be attained over a channel whose output is an unknown (possibly stochastic) function of the input that may vary arbitrarily in time with no a-priori model? Following the spirit of the finite-state…

Information Theory · Computer Science 2013-03-21 Yuval Lomnitz , Meir Feder

The utility of limited feedback for coding over an individual sequence of DMCs is investigated. This study complements recent results showing how limited or noisy feedback can boost the reliability of communication. A strategy with fixed…

Information Theory · Computer Science 2016-11-17 Krishnan Eswaran , Anand D. Sarwate , Anant Sahai , Michael Gastpar

A quantum communication channel can be put to many uses: it can transmit classical information, private classical information, or quantum information. It can be used alone, with shared entanglement, or together with other channels. For each…

Information Theory · Computer Science 2010-07-20 Graeme Smith

We study optimal rates for quantum communication over a single use of a channel, which itself can correspond to a finite number of uses of a channel with arbitrarily correlated noise. The corresponding capacity is often referred to as the…

Quantum Physics · Physics 2010-03-19 Francesco Buscemi , Nilanjana Datta

The deletion channel is the simplest point-to-point communication channel that models lack of synchronization. Despite significant effort, little is known about its capacity, and even less about optimal coding schemes. In this paper we…

Information Theory · Computer Science 2011-05-02 Yashodhan Kanoria , Andrea Montanari

In this paper, we initiate a first information-theoretic study on multilevel NAND flash memory channels with intercell interference. More specifically, for a multilevel NAND flash memory channel under mild assumptions, we first prove that…

Information Theory · Computer Science 2016-11-15 Yonglong Li , Aleksandar Kavcic , Guangyue Han

A scenario involving a source, a channel, and a destination, where the destination is interested in {\em both} reliably reconstructing the message transmitted by the source and estimating with a fidelity criterion the state of the channel,…

Information Theory · Computer Science 2011-08-30 Wenyi Zhang , Satish Vedantam , Urbashi Mitra

We consider a communication scenario over a discrete memoryless interference channel or multiple access channel without feedback, where transmitters exploit classical, quantum, or no-signaling cooperation. In this scenario, several previous…

Quantum Physics · Physics 2026-01-05 Seung-Hyun Nam , Hyun-Young Park , Jiyoung Yun , Ashutosh Rai , Si-Hyeon Lee , Joonwoo Bae

This paper quantifies the fundamental limits of variable-length transmission of a general (possibly analog) source over a memoryless channel with noiseless feedback, under a distortion constraint. We consider excess distortion, average…

Information Theory · Computer Science 2017-02-28 Victoria Kostina , Yury Polyanskiy , Sergio Verdú

We consider a three-terminal state-dependent relay channel with the channel state available non-causally at only the source. Such a model may be of interest for node cooperation in the framework of cognition, i.e., collaborative signal…

Information Theory · Computer Science 2016-11-17 Abdellatif Zaidi , Shlomo Shamai , Pablo Piantanida , Luc Vandendorpe

Shannon's channel coding theorem describes the maximum possible rate of reliable information transfer through a classical noisy communication channel. It, together with the source coding theorem, characterizes lossless channel communication…

Quantum Physics · Physics 2021-05-17 Sristy Agrawal , Rajashik Tarafder , Graeme Smith , Arup Roy , Manik Banik