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In this paper, the problem of correction of a single error in $q$-ary symmetric channel with noiseless feedback is considered. We propose an algorithm to construct codes with feedback inductively. For all prime power $q$ we prove that two…

Information Theory · Computer Science 2023-05-12 Ilya Vorobyev , Vladimir Lebedev , Alexey Lebedev

An upper bound on the feedback capacity of unifilar finite-state channels (FSCs) is derived. A new technique, called the $Q$-contexts, is based on a construction of a directed graph that is used to quantize recursively the receiver's output…

Information Theory · Computer Science 2016-04-08 Oron Sabag , Haim H. Permuter , Henry D. Pfister

We consider the compound memoryless quantum multiple-access channel (QMAC) with two sending terminals. In this model, the transmission is governed by the memoryless extensions of a completely positive and trace preserving map which can be…

Quantum Physics · Physics 2019-06-25 Holger Boche , Gisbert Janßen , Sajad Saeedinaeeni

We establish the deterministic-code capacity region of a network with one transmitter and two receivers: an "ordinary receiver" and a "robust receiver." The channel to the ordinary receiver is a given (known) discrete memoryless channel…

Information Theory · Computer Science 2017-12-18 Tibor Keresztfalvi , Amos Lapidoth

We consider the transmission of a memoryless bivariate Gaussian source over a two-user additive Gaussian multiple-access channel with unidirectional conferencing encoders. Here, prior to each transmission block, Encoder 1, which observes…

Information Theory · Computer Science 2015-12-31 Shraga I. Bross , Yaron Laufer

In this paper, a diffusion-based molecular communication channel between two nano-machines is considered. The effect of the amount of memory on performance is characterized, and a simple memory-limited decoder is proposed and its…

Biological Physics · Physics 2014-05-05 Reza Mosayebi , Hamidreza Arjmandi , Amin Gohari , Masoumeh Nasiri Kenari , Urbashi Mitra

Capacity formulas and random-coding exponents are derived for a generalized family of Gel'fand-Pinsker coding problems. These exponents yield asymptotic upper bounds on the achievable log probability of error. In our model, information is…

Information Theory · Computer Science 2007-07-13 Pierre Moulin , Ying Wang

Building large-scale quantum communication networks has its unique challenges. Here, we demonstrate that a network-wide synergistic usage of quantum memories distributed in a quantum communication network offers a fundamental advantage. We…

Quantum Physics · Physics 2025-12-17 Xiangyi Meng , Nicolò Lo Piparo , Kae Nemoto , István A. Kovács

We consider transmission of discrete memoryless sources (DMSes) across discrete memoryless channels (DMCs) using variable-length lossy source-channel codes with feedback. The reliability function (optimum error exponent) is shown to be…

Information Theory · Computer Science 2019-04-09 Lan V. Truong , Vincent Y. F. Tan

The question whether RM codes are capacity-achieving is a long-standing open problem in coding theory that was recently answered in the affirmative for transmission over erasure channels [1], [2]. Remarkably, the proof does not rely on…

Information Theory · Computer Science 2016-07-12 Shrinivas Kudekar , Santhosh Kumar , Marco Mondelli , Henry D. Pfister , Rüdiger Urbanke

In this paper, a simple memory limited transmitter for molecular communication is proposed, in which information is encoded in the diffusion rate of the molecules. Taking advantage of memory, the proposed transmitter reduces the ISI problem…

Information Theory · Computer Science 2014-10-30 Mohammad Movahednasab , Mehdi Soleimanifar , Amin Gohari , Masoumeh Nasiri Kenari , Urbashi Mitra

Analyzing the achievable rate of molecular communication via diffusion (MCvD) inherits intricacies due to its nature: MCvD channel has memory, and the heavy tail of the signal causes inter symbol interference (ISI). Therefore, using…

Emerging Technologies · Computer Science 2016-07-12 Gaye Genc , Yunus Emre Kara , H. Birkan Yilmaz , Tuna Tugcu

Identification is a communication paradigm that promises exponential advantages over transmission for applications that do not actually require all messages to be reliably transmitted. Notably, the identification capacity theorems prove…

Quantum machine learning is emerging as a promising application of quantum computing due to its distinct way of encoding and processing data. It is believed that large-scale quantum machine learning demonstrates substantial advantages over…

Quantum Physics · Physics 2025-01-15 Kiwmann Hwang , Hyang-Tag Lim , Yong-Su Kim , Daniel K. Park , Yosep Kim

In distributed communication, each transmitter prepares an ensemble of channel codes. To encode a message, a transmitter chooses a channel code individually without sharing the coding choice with other transmitters or with the receiver.…

Information Theory · Computer Science 2018-05-08 Yanru Tang , Faeze Heydaryan , Jie Luo

In this paper, a streaming transmission setup is considered where an encoder observes a new message in the beginning of each block and a decoder sequentially decodes each message after a delay of $T$ blocks. In this streaming setup, the…

Information Theory · Computer Science 2016-04-26 Si-Hyeon Lee , Vincent Y. F. Tan , Ashish Khisti

We study a setting where a receiver must design a questionnaire to recover a sequence of symbols known to strategic sender, whose utility may not be incentive compatible. We allow the receiver the possibility of selecting the alternatives…

Information Theory · Computer Science 2022-09-16 Anuj S. Vora , Ankur A. Kulkarni

Deterministic identification (DI) for the discrete-time Poisson channel, subject to an average and a peak power constraint, is considered. It is established that the code size scales as $2^{(n\log n)R}$, where $n$ and $R$ are the block…

Information Theory · Computer Science 2021-09-29 Mohammad J. Salariseddigh , Uzi Pereg , Holger Boche , Christian Deppe , Robert Schober

Quantum capacity gives the fundamental limit of information transmission through a channel. However, evaluating the quantum capacities of a continuous-variable bosonic quantum channel, as well as finding an optimal code to achieve the…

Quantum Physics · Physics 2025-10-03 Adam Taylor , Michael Hanks , Hyukjoon Kwon , M. S. Kim

We consider a 1-to-$K$ communication scenario, where a source transmits private messages to $K$ receivers through a broadcast erasure channel, and the receivers feed back strictly causally and publicly their channel states after each…

Information Theory · Computer Science 2014-08-11 László Czap , Vinod M. Prabhakaran , Christina Fragouli , Suhas Diggavi