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Using the magnetization enumerator method, we evaluate the practical and theoretical limitations of symmetric channels with real outputs. Results are presented for several regular Gallager code constructions.

Disordered Systems and Neural Networks · Physics 2009-11-10 N. S. Skantzos , J. van Mourik , D. Saad

The wave mechanics theory of microwave absorption challenges the long-standing impedance-matching and quarter-wavelength paradigms by demonstrating that conventional models mistakenly conflate bulk material parameters with thin-film…

Physics and Society · Physics 2025-08-27 Yue Liu , Ying Liu , Michael G. B. Drew

We correct the proof of Theorem~8 in [\emph{Weak product spaces of Dirichlet series}, Integral Equations Operator Theory \textbf{86} (2016), no.~4, 453--473.]

Functional Analysis · Mathematics 2023-07-06 Ole Fredrik Brevig , Karl-Mikael Perfekt

In this note we correct two errors in our paper "On the Homology of Completion and Torsion", arXiv:1010.4386, that appeared in Algebras and Representation Theory (2014).

Commutative Algebra · Mathematics 2015-06-26 Marco Porta , Liran Shaul , Amnon Yekutieli

The present work continues investigation of the capacities of measurement (quantum-classical) channels in the most general setting, initiated in~\cite{HCT}. The proof of coding theorems is given for the classical capacity and…

Quantum Physics · Physics 2014-08-15 A. A. Kuznetsova , A. S. Holevo

The strong capacity of a particular channel can be interpreted as a sharp limit on the amount of information which can be transmitted reliably over that channel. To evaluate the strong capacity of a particular channel one must prove both…

Quantum Physics · Physics 2011-10-20 Tony Dorlas , Ciara Morgan

Establishing the strong converse theorem for a communication channel confirms that the capacity of that channel, that is, the maximum achievable rate of reliable information communication, is the ultimate limit of communication over that…

Quantum Physics · Physics 2016-08-29 Tony Dorlas , Ciara Morgan

We propose a new channel model for channels with synchronization errors. Using this model, we give simple, non-trivial and, in some cases, tight lower bounds on the capacity for certain synchronization error channels.

Information Theory · Computer Science 2011-06-02 Aravind R. Iyengar , Paul H. Siegel , Jack K. Wolf

The transmission of classical information over a classical channel gave rise to the classical capacity theorem with the optimal rate in terms of the classical mutual information. Despite classical information being a subset of quantum…

Quantum Physics · Physics 2023-09-26 Zahra Baghali Khanian

Contrary to the vast majority of works on simultaneous wireless information and power transfer that provide information-theoretic limits for the separate receiver architecture, in this work we focus on the integrated receiver and provide a…

Information Theory · Computer Science 2026-04-22 Konstantinos Ntontin , Symeon Chatzinotas

Symmetrized Kullback-Leibler (KL) information (\(I_{\mathrm{SKL}}\)), which symmetrizes the traditional mutual information by integrating Lautum information, has been shown as a critical quantity in communication~\cite{aminian2015capacity}…

Information Theory · Computer Science 2024-07-19 Haobo Chen , Gholamali Aminian , Yuheng Bu

This letter introduces a new coupling potential to explain the experimental data over wide energy ranges for a number of systems. Within the coupled-channels formalism, this letter first shows the limitations of the standard…

Nuclear Theory · Physics 2007-05-23 I. Boztosun , W. D. M. Rae

We correct the proof of Theorem 4.1 from [C. R. Math. Acad. Sci. Soc. R. Can. \textbf{44} (2022), no. 4, 88--112].

Operator Algebras · Mathematics 2024-03-29 Chris Bruce , Charles Starling

The bound derived in the submission (subsequently published in J. Fluid Mechanics vol 808 p 562-575, 2016) with the above title is incorrect. This corrigendum explains why and also why there can not be any quick fix.

Fluid Dynamics · Physics 2017-11-02 R. R. Kerswell

In this note, the correction to the proof of one theorem in some our previous paper [arXiv:1302.0589] will be given.

Rings and Algebras · Mathematics 2020-02-18 Bui Xuan Hai

In the earlier version of this paper, it was wrongly claimed that time-sharing is required to achieve the capacity region of the Gaussian interference channel to within one bit, especially at corner points. The flaw in the argument of the…

Information Theory · Computer Science 2015-03-17 Peyman Razaghi , Giuseppe Caire

Given the single-letter capacity formula and the converse proof of a channel without constraints, we provide a simple approach to extend the results for the same channel but with constraints. The resulting capacity formula is the minimum of…

Information Theory · Computer Science 2008-09-29 Youjian Liu

In this paper we consider point-to-point multiantenna channels with certain block distributional symmetries which do not require the entries of the channel matrix to be either Gaussian, or independent, or identically distributed. A main…

Information Theory · Computer Science 2017-05-26 Mario Diaz , Víctor Pérez-Abreu

We study quantum information transmission over multiparty quantum channel. In particular, we show an equivalence of different capacity notions and provide a multiletter characterization of a capacity region for a general quantum channel…

Quantum Physics · Physics 2015-06-26 Maciej Demianowicz , Paweł Horodecki

The recent paper of M.Dolg is discussed and his critical remarks with respect to the Generalized Relativistic Effective Core Potential (GRECP) method are shown to be incorrect. Some main features of GRECP are discussed as compared with the…

Chemical Physics · Physics 2007-05-23 A. V. Titov , N. S. Mosyagin