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In this monograph, we review recent advances in second-order asymptotics for lossy source coding, which provides approximations to the finite blocklength performance of optimal codes. The monograph is divided into three parts. In part I, we…

信息论 · 计算机科学 2024-10-25 Lin Zhou , Mehul Motani

We consider a discrete time hidden Markov model where the signal is a stationary Markov chain. When conditioned on the observations, the signal is a Markov chain in a random environment under the conditional measure. It is shown that this…

概率论 · 数学 2009-09-24 Ramon van Handel

In analogy with its classical counterpart, a noisy quantum channel is characterized by a loss, a quantity that depends on the channel input and the quantum operation performed by the channel. The loss reflects the transmission quality: if…

量子物理 · 物理学 2011-07-19 Nicolas J. Cerf

We consider the problem of source coding with receiver side information for the simple network proposed by R. Gray and A. Wyner in 1974. In this network, a transmitter must reliably transport the output of two correlated information sources…

信息论 · 计算机科学 2008-05-28 R. Timo , A. Grant , T. Chan , G. Kramer

In this paper, we propose a framework of source encryption, where cryptographic processing is applied to a prescribed fixed length source code. The proposed source encryption framework is based on the secure communication framework of the…

信息论 · 计算机科学 2026-05-22 Yasutada Oohama , Bagus Santoso

Using the concept of discrete noiseless channels, it was shown by Shannon in A Mathematical Theory of Communication that the ultimate performance of an encoder for a constrained system is limited by the combinatorial capacity of the system…

信息论 · 计算机科学 2008-09-09 Georg Böcherer , Valdemar Cardoso da Rocha , Cecilio Pimentel

This paper investigates the joint source-channel coding problem of sending a memoryless source over a memoryless broadcast channel. An inner bound and several outer bounds on the admissible distortion region are derived, which respectively…

信息论 · 计算机科学 2018-06-11 Lei Yu , Houqiang Li , Weiping Li

Quantum memory systems are vital in quantum information processing for dependable storage and retrieval of quantum states. Inspired by classical reliability theories that synthesize reliable computing systems from unreliable components, we…

量子物理 · 物理学 2025-12-10 Anuj K. Nayak , Eric Chitambar , Lav R. Varshney

In this paper, we consider the information-theoretic characterization of the set of achievable rates and distortions in a broad class of multiterminal communication scenarios with general continuous-valued sources and channels. A framework…

信息论 · 计算机科学 2022-02-24 Farhad Shirani , S. Sandeep Pradhan

The reliability function of memoryless channels with noiseless feedback and variable-length coding has been found to be a linear function of the average rate in the classic work of Burnashev. In this work we consider unifilar channels with…

信息论 · 计算机科学 2017-07-13 Achilleas Anastasopoulos , Jui Wu

In this paper we propose a new framework for distributed source coding of structured sources, such as sparse signals. Our framework capitalizes on recent advances in the theory of linear inverse problems and signal representations using…

信息论 · 计算机科学 2020-12-02 Maxim Goukhshtein , Petros T. Boufounos , Toshiaki Koike-Akino , Stark C. Draper

Channel capacities quantify the optimal rates of sending information reliably over noisy channels. Usually, the study of capacities assumes that the circuits which sender and receiver use for encoding and decoding consist of perfectly…

量子物理 · 物理学 2024-04-15 Paula Belzig , Matthias Christandl , Alexander Müller-Hermes

An intuitive outer bound for the multiterminal source coding problem is given. The proposed bound explicitly couples the rate distortion functions for each source and correlation measures which derive from a "strong" data processing…

信息论 · 计算机科学 2013-07-17 Thomas A. Courtade

Alice and Bob receive a bipartite state (possibly entangled) from some finite collection or from some subspace. Alice sends a message to Bob through a noisy quantum channel such that Bob may determine the initial state, with zero chance of…

量子物理 · 物理学 2015-11-17 Dan Stahlke

This paper considers the source coding problem with broadcast side information. The side information is sent to two receivers through a noisy broadcast channel. We provide an outer bound of the rate--distortion--bandwidth (RDB) quadruples…

信息论 · 计算机科学 2026-02-19 Yiqi Chen , Holger Boche , Marc Geitz

In this paper the quantum source coding theorem is obtained for a completely ergodic source. This results extends Shannon's classical theorem as well as Schumacher's quantum noiseless coding theorem for memoryless sources. The control of…

量子物理 · 物理学 2009-10-31 D. Petz , M. Mosonyi

The problem of secure multiterminal source coding with side information at the eavesdropper is investigated. This scenario consists of a main encoder (referred to as Alice) that wishes to compress a single source but simultaneously…

信息论 · 计算机科学 2013-11-11 Joffrey Villard , Pablo Piantanida

The quantum capacity of a memoryless channel is often used as a single figure of merit to characterize its ability to transmit quantum information coherently. The capacity determines the maximal rate at which we can code reliably over…

量子物理 · 物理学 2016-05-10 Marco Tomamichel , Mario Berta , Joseph M. Renes

Given an infinitesimal perturbation of a discrete-time finite Markov chain, we seek the states that are stable despite the perturbation, \textit{i.e.} the states whose weights in the stationary distributions can be bounded away from $0$ as…

离散数学 · 计算机科学 2016-02-15 Volker Betz , Stephane Le Roux

Anytime reliable communication systems are needed in contexts where the property of vanishing error probability with time is critical. This is the case of unstable real time systems that are to be controlled through the transmission and…

信号处理 · 电气工程与系统科学 2020-02-27 Alberto Tarable , Francisco J. Escribano