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Related papers: Zero-Error Feedback Capacity for Bounded Stabiliza…

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It is known that for a discrete channel with correlated additive noise, the ordinary capacity with or without feedback both equal $ \log q-\mathcal{H} (Z) $, where $ \mathcal{H}(Z) $ is the entropy rate of the noise process $ Z $ and $ q $…

Information Theory · Computer Science 2020-06-02 Amir Saberi , Farhad Farokhi , Girish N. Nair

In this paper, we study the zero-error capacity for finite state channels with feedback when channel state information is known to both the transmitter and the receiver. We prove that the zero-error capacity in this case can be obtained…

Information Theory · Computer Science 2009-07-14 Lei Zhao , Haim Permuter

The fundamental limits of communication over state-dependent discrete memoryless channels with noiseless feedback are studied, under the assumption that the communicating parties are allowed to use variable-length coding schemes. Various…

Information Theory · Computer Science 2020-08-13 Mladen Kovačević , Carol Wang , Vincent Y. F. Tan

We investigate state estimation of linear systems over channels having a finite state not known by the transmitter or receiver. We show that similar to memoryless channels, zero-error capacity is the right figure of merit for achieving…

Systems and Control · Electrical Eng. & Systems 2021-10-06 Amir Saberi , Farhad Farokhi , Girish N. Nair

The adaptive zero-error capacity of discrete memoryless channels (DMC) with noiseless feedback has been shown to be positive whenever there exists at least one channel output "disprover", i.e. a channel output that cannot be reached from at…

Information Theory · Computer Science 2017-04-06 Meysam Asadi , Natasha Devroye

We begin a systematic study of the problem of the zero--error capacity of noisy binary channels with memory and solve some of the non--trivial cases.

Combinatorics · Mathematics 2016-02-22 Gérard Cohen , Emanuela Fachini , János Körner

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…

Information Theory · Computer Science 2024-11-21 Qi Cao , Yulin Shao , Shangwei Ge

The zero-error feedback capacity of the Gelfand-Pinsker channel is established. It can be positive even if the channel's zero-error capacity is zero in the absence of feedback. Moreover, the error-free transmission of a single bit may…

Information Theory · Computer Science 2016-07-11 Annina Bracher , Amos Lapidoth

We define the quantum zero-error capacity, a new kind of classical capacity of a noisy quantum channel. Moreover, the necessary requirement for which a quantum channel has zero-error capacity greater than zero is also given.

Quantum Physics · Physics 2007-05-23 Rex A. C. Medeiros , Francisco M. de Assis

We define here a new kind of quantum channel capacity by extending the concept of zero-error capacity for a noisy quantum channel. The necessary requirement for which a quantum channel has zero-error capacity greater than zero is given.…

Quantum Physics · Physics 2007-05-23 Rex A. C. Medeiros , Francisco M. De Assis

We initiate the study of zero-error communication via quantum channels when the receiver and sender have at their disposal a noiseless feedback channel of unlimited quantum capacity, generalizing Shannon's zero-error communication theory…

Quantum Physics · Physics 2016-08-18 Runyao Duan , Simone Severini , Andreas Winter

We investigate whether the use of a noiseless, classical feedback channel will increase the capacity of a quantum discrete memoryless channel to transmit classical information. This problem has been previously analyzed by Bowen and…

Quantum Physics · Physics 2007-05-23 Andrew Skeen

Shannon's theory of zero-error communication is re-examined in the broader setting of using one classical channel to simulate another exactly, and in the presence of various resources that are all classes of non-signalling correlations:…

Quantum Physics · Physics 2016-11-17 Toby S. Cubitt , Debbie Leung , William Matthews , Andreas Winter

In this work we find the capacity of a compound finite-state channel with time-invariant deterministic feedback. The model we consider involves the use of fixed length block codes. Our achievability result includes a proof of the existence…

Information Theory · Computer Science 2016-11-15 Brooke Shrader , Haim Permuter

The collision channel without feedback (CCw/oFB) model introduced by Massey and Mathys, depicts a scenario in which M users share a thermal noise-free communication channel with random relative time offsets among their clocks. This paper…

Information Theory · Computer Science 2019-02-22 Yijin Zhang , Yi Chen , Yuan-Hsun Lo , Wing Shing Wong

We address the problem of universal communications over an unknown channel with an instantaneous noiseless feedback, and show how rates corresponding to the empirical behavior of the channel can be attained, although no rate can be…

Information Theory · Computer Science 2008-09-01 Ofer Shayevitz , Meir Feder

The problem of characterising the zero-error capacity region for multiple access channels even in the noiseless case has remained an open problem for over three decades. Motivated by this challenging question, a recently developed theory of…

Information Theory · Computer Science 2019-10-29 Ghassen Zafzouf , Girish N. Nair , Jamie S. Evans

A class of burst noise-erasure channels which incorporate both errors and erasures during transmission is studied. The channel, whose output is explicitly expressed in terms of its input and a stationary ergodic noise-erasure process, is…

Information Theory · Computer Science 2017-05-05 Lin Song , Fady Alajaji , Tamás Linder

Zero-error capacity plays an important role in a whole range of operational tasks, in addition to the fact that it is necessary for practical applications. Due to the importance of zero-error capacity, it is necessary to investigate its…

Information Theory · Computer Science 2024-05-21 Holger Boche , Christian Deppe

Existing fixed-length feedback communication schemes are either specialized to particular channels (Schalkwijk--Kailath, Horstein), or apply to general channels but either have high coding complexity (block feedback schemes) or are…

Information Theory · Computer Science 2016-09-08 Cheuk Ting Li , Abbas El Gamal
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