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Motivated by a greedy approach for generating {\it{information stable}} processes, we prove a universal maximum likelihood (ML) upper bound on the capacities of discrete information stable channels, including the binary erasure channel…

Information Theory · Computer Science 2018-05-21 Tongxin Li

We find a strong-converse bound on the private capacity of a quantum channel assisted by unlimited two-way classical communication. The bound is based on the max-relative entropy of entanglement and its proof uses a new inequality for the…

Quantum Physics · Physics 2017-07-04 Matthias Christandl , Alexander Müller-Hermes

We consider the time dependent Maxwell system in the sense of distributions in the context of temporal interfaces. Just as with spatial interfaces, electromagnetic waves at temporal interfaces scatter and create a transmitted and reflected…

Analysis of PDEs · Mathematics 2025-07-29 Cristian E. Gutiérrez , Eric Stachura

Symmetry strongly impacts wave transport in complex media. In this Letter, we demonstrate that the phenomenon of symmetry-induced through-barrier transmission enhancement enables quantitative sensing across barriers in complex media. We…

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

The theoretic capacity of a communication system constituted of several transmitting/receiving elements is determined by the singular values of its transfer matrix. Results based on an independent identically distributed channel model,…

Mathematical Physics · Physics 2012-09-27 François Bentosela , Eric Soccorsi

Modern nanophotonic and meta-optical devices utilize a tremendous number of structural degrees of freedom to enhance light--matter interactions. A fundamental question is how large such enhancements can be. We develop an analytical…

Optics · Physics 2020-11-13 Zeyu Kuang , Lang Zhang , Owen D. Miller

In this paper we show that the limiting distribution of the real and the imaginary part of the double Fourier transform of a stationary random field is almost surely an independent vector with Gaussian marginal distributions, whose variance…

Probability · Mathematics 2017-08-29 Magda Peligrad , Na Zhang

New upper and lower bounds for the error probability over an erasure channel are provided, making use of Wei's generalized weights, hierarchy and spectra. In many situations the upper and lower bounds coincide and this allows improvement of…

Information Theory · Computer Science 2014-07-18 Leandro Cruvinel Lemes , Marcelo Firer

We present sum-set inequalities specialized to the generalized degrees of freedom (GDoF) framework. These are information theoretic lower bounds on the entropy of bounded density linear combinations of discrete, power-limited dependent…

Information Theory · Computer Science 2017-08-25 Arash Gholami Davoodi , Syed A. Jafar

We derive upper bounds to free-space concentration of electromagnetic waves, mapping out the limits to maximum intensity for any spot size and optical beam-shaping device. For sub-diffraction-limited optical beams, our bounds suggest the…

Optics · Physics 2020-07-08 Hyungki Shim , Haejun Chung , Owen D. Miller

We experimentally investigate mutual information and generalized mutual information for coherent optical transmission systems. The impact of the assumed channel distribution on the achievable rate is investigated for distributions in up to…

Information Theory · Computer Science 2024-01-25 Tobias A. Eriksson , Tobias Fehenberger , Peter A. Andrekson , Magnus Karlsson , Norbert Hanik , Erik Agrell

The performance of the generalized belief propagation algorithm for computing the noiseless capacity and mutual information rates of finite-size two-dimensional and three-dimensional run-length limited constraints is investigated. For each…

Information Theory · Computer Science 2012-05-29 Giovanni Sabato , Mehdi Molkaraie

By using the independence structure of points following a determinantal point process, we study the radii of the spherical ensemble, the truncation of the circular unitary ensemble and the product ensemble with parameter n and k. The…

Probability · Mathematics 2014-11-10 Tiefeng Jiang , Yongcheng Qi

In the last three decades, several measures of complexity have been proposed. Up to this point, most of such measures have only been developed for finite spaces. In these scenarios the baseline distribution is uniform. This makes sense…

Information Theory · Computer Science 2021-11-15 Daniel Andrés Díaz-Pachón , Robert J. Marks

In linear optics, photons are scattered in a network through passive optical elements including beamsplitters and phase shifters, leading to many intriguing applications in physics, such as Mach-Zehnder interferometry, Hong-Ou-Mandel…

Quantum Physics · Physics 2016-08-02 Man-Hong Yung , Xun Gao , Joonsuk Huh

We present an effective-medium model for calculating the frequency-dependent effective permittivity $\epsilon(\omega)$ and permeability $\mu(\omega)$ of metamaterial composites containing spherical particles with arbitrary permittivity and…

Optics · Physics 2014-05-01 Brian A. Slovick , Zhi Gang Yu , Srini Krishnamurthy

The data for many classification problems, such as pattern and speech recognition, follow mixture distributions. To quantify the optimum performance for classification tasks, the Shannon mutual information is a natural information-theoretic…

Signal Processing · Electrical Eng. & Systems 2022-06-22 Yijun Ding , Amit Ashok

We consider transmission over a wireless multiple antenna communication system operating in a Rayleigh flat fading environment with no channel state information at the receiver and the transmitter with coherence time T=1. We show that,…

Information Theory · Computer Science 2008-01-15 Jochen Sommerfeld , Igor Bjelakovic , Holger Boche

We consider the problem of adaptive modulation for wideband DS-CDMA Rayleigh fading channels with imperfect channel state information (CSI). We assume a multidimensional signal subspace spanned by a collection of random spreading codes…

Information Theory · Computer Science 2007-07-13 Richard J. Barton
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