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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

The problem of maximum rate achievable with analog network coding for a unicast communication over a layered relay network with directed links is considered. A relay node performing analog network coding scales and forwards the signals…

Information Theory · Computer Science 2012-04-24 Samar Agnihotri , Sidharth Jaggi , Minghua Chen

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

We introduce a new, "worst-case" model for an asynchronous communication network and investigate the simplest (yet central) task in this model, namely the feasibility of end-to-end routing. Motivated by the question of how successful a…

Networking and Internet Architecture · Computer Science 2009-10-26 Paul Bunn , Rafail Ostrovsky

Designing encoding and decoding circuits to reliably send messages over many uses of a noisy channel is a central problem in communication theory. When studying the optimal transmission rates achievable with asymptotically vanishing error…

Quantum Physics · Physics 2024-11-07 Matthias Christandl , Alexander Müller-Hermes

We study the communication rate of coding schemes for interactive communication that transform any two-party interactive protocol into a protocol that is robust to noise. Recently, Haeupler (FOCS '14) showed that if an $\epsilon > 0$…

Information Theory · Computer Science 2016-05-31 Bernhard Haeupler , Ameya Velingker

We investigate the maximal achievable rate for a given blocklength and error probability over quasi-static single-input multiple-output (SIMO) fading channels. Under mild conditions on the channel gains, it is shown that the channel…

Information Theory · Computer Science 2013-05-17 Wei Yang , Giuseppe Durisi , Tobias Koch , Yury Polyanskiy

We study the activated quantum no-signalling-assisted zero-error classical capacity by first allowing the assistance from some noiseless forward communication channel and later paying back the cost of the helper. This activated…

Quantum Physics · Physics 2017-12-19 Runyao Duan , Xin Wang

We consider the problem of sequential signal detection in a multichannel system where the number and location of signals is a priori unknown. We assume that the data in each channel are sequentially observed and follow a general non-i.i.d.…

Statistics Theory · Mathematics 2016-01-14 Georgios Fellouris , Alexander G. Tartakovsky

We propose a new channel model for channels with synchronization errors. Using this model, we give simple, non-trivial and, in some cases, tight lower bounds on the capacity for certain synchronization error channels.

Information Theory · Computer Science 2011-06-02 Aravind R. Iyengar , Paul H. Siegel , Jack K. Wolf

We study the fundamental limits of covert communications over general memoryless additive-noise channels. We assume that the legitimate receiver and the eavesdropper share the same channel and therefore see the same outputs. Under mild…

Information Theory · Computer Science 2024-12-24 Cécile Bouette , Laura Luzzi , Ligong Wang

We consider the discrete memoryless asymmetric broadcast channels. We prove that the error probability of decoding tends to one exponentially for rates outside the capacity region and derive an explicit lower bound of this exponent…

Information Theory · Computer Science 2020-08-11 Yasutada Oohama

We study a problem of sequential frame synchronization for a frame transmitted uniformly in $A$ slots. For a discrete memoryless channel (DMC), Venkat Chandar et al showed that the frame length $N$ must scale with $A$ as $e^{N \alpha(Q)} >…

Information Theory · Computer Science 2016-05-20 R. M. Sundaram , Devendra Jalihal , Venkatesh Ramaiyan

We consider the sequential quantum channel discrimination problem using adaptive and non-adaptive strategies. In this setting the number of uses of the underlying quantum channel is not fixed but a random variable that is either bounded in…

Information Theory · Computer Science 2022-10-21 Yonglong Li , Christoph Hirche , Marco Tomamichel

The problem of characterizing the optimal rate achievable with analog network coding (ANC) for a unicast communication over general wireless relay networks is computationally hard. A relay node performing ANC scales and forwards its input…

Information Theory · Computer Science 2014-11-03 Samar Agnihotri

We consider the `one-shot frame synchronization problem' where a decoder wants to locate a sync pattern at the output of a channel on the basis of sequential observations. We assume that the sync pattern of length N starts being emitted at…

Information Theory · Computer Science 2007-08-23 Venkat Chandar , Aslan Tchamkerten , Gregory Wornell

In this paper, we consider sequential testing over a single-sensor, a single-decision center setup. At each time instant $t$, the sensor gets $k$ samples $(k>0)$ and describes the observed sequence until time $t$ to the decision center over…

Information Theory · Computer Science 2021-09-20 Sadaf Salehkalaibar , Vincent Y. F. Tan

We establish the capacity of a class of communication channels introduced in [1]. The $n$-letter input from a finite alphabet is passed through a discrete memoryless channel $P_{Z|X}$ and then the output $n$-letter sequence is uniformly…

Information Theory · Computer Science 2023-10-30 Jennifer Tang , Yury Polyanskiy

We consider the classic joint source-channel coding problem of transmitting a memoryless source over a memoryless channel. The focus of this work is on the long-standing open problem of finding the rate of convergence of the smallest…

Information Theory · Computer Science 2019-08-27 Yuval Kochman , Or Ordentlich , Yury Polyanskiy

Several communication models that are of relevance in practice are asymmetric in the way they act on the transmitted "objects". Examples include channels in which the amplitudes of the transmitted pulses can only be decreased, channels in…

Information Theory · Computer Science 2022-12-29 Mladen Kovačević , Dejan Vukobratović