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In this paper we generalize the notion of common information of two dependent variables introduced by G\'acs & K\"orner. They defined common information as the largest entropy rate of a common random variable two parties observing one of…

Information Theory · Computer Science 2016-11-17 Vinod M. Prabhakaran , Manoj M. Prabhakaran

It was recently shown that the lossless compression of a single source $X^n$ is achievable with a notion of strong locality; any $X_i$ can be decoded from a constant number of compressed bits, with a vanishing in $n$ probability of error.…

Information Theory · Computer Science 2022-09-28 Shashank Vatedka , Venkat Chandar , Aslan Tchamkerten

Quantum resources may provide advantage over their classical counterparts. We say this as quantum advantage. Here we consider a single communication task to study different approaches of observing quantum advantage. We say this setting as a…

Quantum Physics · Physics 2025-03-03 Saronath Halder , Alexander Streltsov

Shaping codes are used to generate code sequences in which the symbols obey a prescribed probability distribution. They arise naturally in the context of source coding for noiseless channels with unequal symbol costs. Recently, shaping…

Information Theory · Computer Science 2022-05-10 Yi Liu , Yonglong Li , Pengfei Huang , Paul H. Siegel

This paper introduces two information-theoretically secure protocols that achieve quantum secure direct communication between Alice and Bob in the first case, and among Alice, Bod and Charlie in the second case. Both protocols use the same…

Quantum Physics · Physics 2025-03-14 Theodore Andronikos , Alla Sirokofskich

We consider the problem of zero error source coding with limited feedback when side information is present at the receiver. First, we derive an achievable rate region for arbitrary joint distributions on the source and the side information.…

Information Theory · Computer Science 2010-01-15 Mayank Bakshi , MIchelle Effros

In this work, the problem of transmitting an i.i.d Gaussian source over an i.i.d Gaussian wiretap channel with an i.i.d Gaussian side information is considered. The intended receiver is assumed to have a certain minimum SNR and the…

Information Theory · Computer Science 2010-08-03 Ghadamali Bagherikaram , Konstantinos N. Plataniotis

We obtain strict upper bounds on the bit transmission rate for communication of Classical bit codewords over Quantum channels. Albeit previous arguments in arXiv: 1804.01797 which have demonstrated that lower bounds can be shown to hold for…

Quantum Physics · Physics 2025-07-08 Pete Rigas

We study a distributed estimation problem in which two remotely located parties, Alice and Bob, observe an unlimited number of i.i.d. samples corresponding to two different parts of a random vector. Alice can send $k$ bits on average to…

Statistics Theory · Mathematics 2018-06-26 Uri Hadar , Ofer Shayevitz

We consider the problem of distributed binary hypothesis testing of two sequences that are generated by an i.i.d. doubly-binary symmetric source. Each sequence is observed by a different terminal. The two hypotheses correspond to different…

Information Theory · Computer Science 2018-01-03 Eli Haim , Yuval Kochman

A scheme is proposed by which two parties, Alice and Bob, can securely exchange real numbers. The scheme requires Alice and Bob to share entanglement and both to perform Bell-state measurements. With a qubit system two real numbers can each…

Quantum Physics · Physics 2007-05-23 Sung Soon Jang , Hai-Woong Lee

In this paper a central server Charlie has access to a quantum system C and measures it with a POVM $\{\Lambda_x\}$. Alice and Bob are only interested in the partial results $g_A(x)$ respectively $g_B(x)$. Alice, Bob, and Charlie share…

Quantum Physics · Physics 2026-01-19 Anders Høst-Madsen

Simultaneous dense coding guarantees that Bob and Charlie simultaneously receive their respective information from Alice in their respective processes of dense coding. The idea is to use the so-called locking operation to "lock" the…

Quantum Physics · Physics 2016-02-24 Haozhen Situ , Daowen Qiu , Paulo Mateus , Nikola Paunković

We study the robust communication complexity of maximum matching. Edges of an arbitrary $n$-vertex graph $G$ are randomly partitioned between Alice and Bob independently and uniformly. Alice has to send a single message to Bob such that Bob…

Data Structures and Algorithms · Computer Science 2023-05-03 Amir Azarmehr , Soheil Behnezhad

In this paper, we propose a method of enciphering quantum states of two-state systems (qubits) for sending them in secrecy without entangled qubits shared by two legitimate users (Alice and Bob). This method has the following two…

Quantum Physics · Physics 2009-11-06 Hiroo Azuma , Masashi Ban

We introduce fundamental bounds on achievable cumulative rate distribution functions (CRDF) to characterize a sequential encoding process that ensures lossless or lossy reconstruction subject to an average distortion criterion using a…

Information Theory · Computer Science 2021-08-31 Hamid Ghourchian , Photios A. Stavrou , Tobias J. Oechtering , Mikael Skoglund

This work considers reliable transmission of general correlated sources over the multiple-access relay channel (MARC) and the multiple-access broadcast relay channel (MABRC). In MARCs only the destination is interested in a reconstruction…

Information Theory · Computer Science 2012-07-02 Yonathan Murin , Ron Dabora , Deniz Gündüz

We consider the problem of source coding subject to a fidelity criterion for the Gray-Wyner network that connects a single source with two receivers via a common channel and two private channels. The pareto-optimal trade-offs between the…

Information Theory · Computer Science 2020-10-01 Erixhen Sula , Michael Gastpar

In this paper, we propose a lattice-based robust distributed source coding system for two correlated sources and provide a detailed performance analysis under the high resolution assumption. It is shown, among other things, that, in the…

Information Theory · Computer Science 2018-10-04 Dania Elzouki , Sorina Dumitrescu , Jun Chen

In order to communicate a message over a noisy channel, a sender (Alice) uses an error-correcting code to encode her message $x$ into a codeword. The receiver (Bob) decodes it correctly whenever there is at most a small constant fraction of…

Information Theory · Computer Science 2024-07-10 Meghal Gupta , Venkatesan Guruswami , Mihir Singhal
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