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The highest fidelity of quantum error-correcting codes of length n and rate R is proven to be lower bounded by 1 - exp [-n E(R)+ o(n)] for some function E(R) on noisy quantum channels that are subject to not necessarily independent errors.…

量子物理 · 物理学 2015-06-26 Mitsuru Hamada

We introduce potential capacities of quantum channels in an operational way and provide upper bounds for these quantities, which quantify the ultimate limit of usefulness of a channel for a given task in the best possible context.…

量子物理 · 物理学 2016-02-17 Andreas Winter , Dong Yang

Calculating the capacity (with or without feedback) of channels with memory and continuous alphabets is a challenging task. It requires optimizing the directed information (DI) rate over all channel input distributions. The objective is a…

信息论 · 计算机科学 2020-05-19 Ziv Aharoni , Dor Tsur , Ziv Goldfeld , Haim Henry Permuter

Shannon's analysis of the fundamental capacity limits for memoryless communication channels has been refined over time. In this paper, the maximum volume $M_\avg^*(n,\epsilon)$ of length-$n$ codes subject to an average decoding error…

信息论 · 计算机科学 2016-12-28 Pierre Moulin

Optimization methods aimed at estimating the capacities of a general Gaussian channel are developed. Specifically evaluation of classical capacity as maximum of the Holevo information is pursued over all possible Gaussian encodings for the…

量子物理 · 物理学 2012-09-12 Oleg V. Pilyavets , Cosmo Lupo , Stefano Mancini

We consider the additive white Gaussian noise channels. We prove that the error probability of decoding tends to one exponentially for rates above the capacity and derive the optimal exponent function. We shall demonstrate that the…

信息论 · 计算机科学 2017-02-07 Yasutada Oohama

An outer bound to the capacity region of the two-receiver discrete memoryless broadcast channel is given. The outer bound is tight for all cases where the capacity region is known. When specialized to the case of no common information, this…

信息论 · 计算机科学 2007-07-13 Chandra Nair , Abbas El Gamal

The capacity of a class of deterministic relay channels with the transmitter input X, the receiver output Y, the relay output Y_1 = f(X, Y), and a separate communication link from the relay to the receiver with capacity R_0, is shown to be…

信息论 · 计算机科学 2016-11-18 Thomas M. Cover , Young-Han Kim

This paper investigates the zero-error capacity of channels with memory. Motivated by the nuanced requirements of semantic communication that incorporate memory, we advance the classical enlightened dictator channel by introducing a new…

信息论 · 计算机科学 2024-11-21 Qi Cao , Yulin Shao , Shangwei Ge

In this paper we address the issue of universal or robust communication over quantum channels. Specifically, we consider memoryless communication scenario with channel uncertainty which is an analog of compound channel in classical…

量子物理 · 物理学 2009-11-13 I. Bjelakovic , H. Boche , J. Noetzel

A coding scheme for the discrete memoryless broadcast channel with {noiseless, noisy, generalized} feedback is proposed, and the associated achievable region derived. The scheme is based on a block-Markov strategy combining the Marton…

信息论 · 计算机科学 2012-11-27 Ofer Shayevitz , Michele Wigger

In this paper, we formulate a new problem to cope with the transmission of extra bits over an existing coded transmission link (referred to as coded payload link) without any cost of extra transmission energy or extra bandwidth. This is…

信息论 · 计算机科学 2019-06-27 Suihua Cai , Shancheng Zhao , Xiao Ma

The two-way capacities of quantum channels determine the ultimate entanglement and secret-key distribution rates achievable by two distant parties that are connected by a noisy transmission line, in absence of quantum repeaters. Since…

量子物理 · 物理学 2025-01-27 Francesco Anna Mele , Ludovico Lami , Vittorio Giovannetti

We consider a scenario in which $K$ transmitters attempt to communicate covert messages reliably to a legitimate receiver over a discrete memoryless MAC while simultaneously escaping detection from an adversary who observes their…

信息论 · 计算机科学 2019-06-11 Keerthi Suria Kumar Arumugam , Matthieu R. Bloch

We study the binomial channel and the structure of its capacity-achieving input and output distributions. It is known that the capacity-achieving input distribution is discrete and supported on finitely many points. The best previously…

信息论 · 计算机科学 2026-05-13 Mohammadamin Baniasadi , Luca Barletta , Alex Dytso

We consider the transmission of nonexponentially many messages through a binary symmetric channel with noiseless feedback. We obtain an upper bound for the best decoding error exponent. Combined with the corresponding known lower bound,…

信息论 · 计算机科学 2022-10-14 Marat V. Burnashev

We investigate the quantum capacity of noisy quantum channels which can be represented by coupling a system to an effectively small environment. A capacity formula is derived for all cases where both system and environment are…

量子物理 · 物理学 2009-11-13 Michael M. Wolf , David Perez-Garcia

We consider Additive White Gaussian Noise channels and Discrete Memoryless channels when the transmitter harvests energy from the environment. These can model wireless sensor networks as well as Internet of Things. By providing a unifying…

信息论 · 计算机科学 2019-03-21 K Gautam Shenoy , Vinod Sharma

The notion of the Holevo capacity for arbitrarily constrained infinite dimensional quantum channels is introduced. It is shown that despite nonexistence of an optimal ensemble in this case it is possible to define the notion of the output…

量子物理 · 物理学 2009-11-10 M. E. Shirokov

The capacity of a channel is known to be equivalent to the highest rate at which it can generate entanglement. Analogous to entanglement, the notion of a causality measure characterises the temporal aspect of quantum correlations. Despite…

量子物理 · 物理学 2020-02-24 Robert Pisarczyk , Zhikuan Zhao , Yingkai Ouyang , Vlatko Vedral , Joseph F. Fitzsimons