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We investigate the quantum-secure covert-communication capabilities of lossy thermal-noise bosonic channels, the quantum-mechanical model for many practical channels. We determine the expressions for the covert capacity of these channels:…

Quantum Physics · Physics 2020-09-29 Christos N. Gagatsos , Michael S. Bullock , Boulat A. Bash

In digital systems such as fiber optical communications, the ratio between probability of errors of type $1\to 0$ and $0 \to 1$ can be large. Practically, one can assume that only one type of error can occur. These errors arecalled…

Information Theory · Computer Science 2020-04-29 Christian Deppe , Vladimir Lebedev , Georg Maringer

Communication systems are traditionally designed to have tight transmitter-receiver synchronization. This requirement has negligible overhead in the high-SNR regime. However, in many applications, such as wireless sensor networks,…

Information Theory · Computer Science 2016-02-22 Yu-Chih Huang , Urs Niesen , Piyush Gupta

We consider the problem of transmitting classical and quantum information reliably over an entanglement-assisted quantum channel. Our main result is a capacity theorem that gives a three-dimensional achievable rate region. Points in the…

Quantum Physics · Physics 2010-08-23 Min-Hsiu Hsieh , Mark M. Wilde

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

This paper addresses the estimation of signals with sublinear sparsity sent over the additive white Gaussian noise channel. This fundamental problem arises in designing denoisers used in message-passing algorithms for sublinear sparsity.…

Information Theory · Computer Science 2026-04-28 Keigo Takeuchi

This paper considers a sequential estimation and sensor scheduling problem in the presence of multiple communication channels. As opposed to the classical remote estimation problem that involves one perfect (noiseless) channel and one…

Information Theory · Computer Science 2015-10-02 Xiaobin Gao , Emrah Akyol , Tamer Basar

The upper bound on the capacity of a 3-node discrete memoryless relay channel is considered, where a source X wants to send information to destination Y with the help of a relay Z. Y and Z are independent given X, and the link from Z to Y…

Information Theory · Computer Science 2012-10-26 Feng Xue

We study relaxations of entanglement-assisted quantum channel coding and establish that non-signaling assistance and a natural semi-definite programming relaxation\, -- \,termed meta-converse\, -- \,are equivalent in terms of success…

Quantum Physics · Physics 2025-10-08 Aadil Oufkir , Mario Berta

The Shannon upper bound places a limit on the error-free information transmission rate (capacity) of a noisy channel. It has stood for over sixty years, and underlies both theoretical and practical work in the telecommunications industry.…

Information Theory · Computer Science 2017-05-08 Jon Montalban , Jon Barrueco , Pablo Angueira , Jerrold D. Prothero

Entanglement shared between the two ends of a quantum communication channel has been shown to be a useful resource in increasing both the quantum and classical capacities for these channels. The entanglement-assisted capacities were derived…

Quantum Physics · Physics 2009-11-07 Garry Bowen

There is a fundamental limit on the capacity of fibre optical communication system (Shannon Limit). This limit can be potentially overcome via using Nonlinear Frequency Division Multiplexing. Dealing with noises in these systems is one of…

Information Theory · Computer Science 2017-11-28 Wen Qi Zhang , Tao Gui , Qun Zhang , Chao Lu , Tanya M. Monro , Terence H. Chan , Alan Pak Tao Lau , Shahraam Afshar

The capacity of a discrete-time memoryless channel, in which successive symbols fade independently, and where the channel state information (CSI) is neither available at the transmitter nor at the receiver, is considered at low SNR. We…

Information Theory · Computer Science 2008-01-04 Z. Rezki , David Haccoun , François Gagnon

Entanglement-assisted communication over a random-parameter quantum channel with either causal or non-causal channel side information (CSI) at the encoder is considered. This describes a scenario where the quantum channel depends on the…

Information Theory · Computer Science 2019-12-11 Uzi Pereg

This paper is concerned with the problem of error-free communication over the i.i.d. duplication channel which acts on a transmitted sequence $ x_1 \cdots x_n $ by inserting a random number of copies of each symbol $ x_i $ next to the…

Information Theory · Computer Science 2020-08-13 Mladen Kovačević

We investigate the use of noisy entanglement as a resource in classical communication via a quantum channel. In particular, we are interested in the question whether for any entangled state, including bound entangled states, there exists a…

Quantum Physics · Physics 2019-07-31 Stefan Bäuml , Andreas Winter , Dong Yang

In this paper, firstly, the Shannon channel capacity formula is briefly stated, and the relationship between the formula and the signal uncertainty principle is analyzed in order to prepare for deriving the formula which is able to break…

Information Theory · Computer Science 2020-04-28 Dequn Liang , Xinyu Dou

We consider compound as well as arbitrarily varying classical-quantum channel models. For classical-quantum compound channels, we give an elementary proof of the direct part of the coding theorem. A weak converse under average error…

Quantum Physics · Physics 2016-08-14 Igor Bjelaković , Holger Boche , Gisbert Janßen , Janis Nötzel

The capability of a given channel to communicate information is, a priori, distinct from its capability to distribute shared randomness. In this article we define randomness distribution capacities of quantum channels assisted by forward,…

Quantum Physics · Physics 2018-05-22 Raul Garcia-Patron , William Matthews , Andreas Winter

With the goal of gaining a deeper understanding of quantum non-locality, we decompose quantum correlations into more elementary non-local correlations. We show that the correlations of all pure entangled states of two qubits can be…

Quantum Physics · Physics 2009-11-13 Nicolas Brunner , Nicolas Gisin , Sandu Popescu , Valerio Scarani