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This paper investigates the problem of secret key generation over a wiretap channel when the terminals observe correlated sources. These sources are independent of the main channel and the users overhear them before the transmission takes…

Information Theory · Computer Science 2018-11-21 Germán Bassi , Pablo Piantanida , Shlomo Shamai

The random-energy model (REM), a solvable spin-glass model, has impacted an incredibly diverse set of problems, from protein folding to combinatorial optimization to many-body localization. Here, we explore a new connection to secret…

Disordered Systems and Neural Networks · Physics 2025-02-13 Vudtiwat Ngampruetikorn , David J. Schwab

After carrying out a protocol for quantum key agreement over a noisy quantum channel, the parties Alice and Bob must process the raw key in order to end up with identical keys about which the adversary has virtually no information. In…

Quantum Physics · Physics 2013-01-22 N. Gisin , S. Wolf

We show that for product sources, rate splitting is optimal for secret key agreement using limited one-way communication between two terminals. This yields an alternative information-theoretic-converse-style proof of the tensorization…

Information Theory · Computer Science 2016-04-26 Jingbo Liu , Paul Cuff , Sergio Verdú

We study the visible compression of a source E of pure quantum signal states, or, more formally, the minimal resources per signal required to represent arbitrarily long strings of signals with arbitrarily high fidelity, when the compressor…

Quantum Physics · Physics 2007-05-23 Patrick Hayden , Richard Jozsa , Andreas Winter

In the multiterminal secret key agreement problem, a set of users want to discuss with each other until they share a common secret key independent of their discussion. We want to characterize the maximum secret key rate, called the secrecy…

Information Theory · Computer Science 2018-02-15 Chung Chan , Manuj Mukherjee , Navin Kashyap , Qiaoqiao Zhou

In this paper, a new key-agreement scheme is proposed and analyzed. In addition to being provably secure in shared secret key indistinguishability model, the scheme has an interesting feature: while using exponentiation over a cyclic…

Cryptography and Security · Computer Science 2021-06-08 Abdelhaliem Babiker

A secret key shared through quantum key distribution between two cooperative players is secure against any eavesdropping attack allowed by the laws of physics. Yet, such a key can be established only when the quantum channel error rate due…

Quantum Physics · Physics 2007-05-23 H. F. Chau

We consider the secret key agreement problem under the multiterminal source model proposed by Csisz\'ar and Narayan. A single-letter characterization of the secrecy capacity is desired but remains unknown except in the extreme case with…

Information Theory · Computer Science 2019-04-26 Chung Chan , Manuj Mukherjee , Praneeth Kumar Vippathalla , Qiaoqiao Zhou

The aim of this paper is to prove coding theorems for the wiretap channel coding problem and secret key agreement problem based on the the notion of a hash property for an ensemble of functions. These theorems imply that codes using sparse…

Information Theory · Computer Science 2012-05-22 Jun Muramatsu , Shigeki Miyake

In continuous-variable quantum key distribution, information reconciliation is required to extract a shared secret key from correlated random variables obtained through the quantum channel. Reverse reconciliation (RR) is generally…

Information Theory · Computer Science 2026-05-13 Marco Origlia , Emanuele Parente , Marco Secondini

In this paper we present a new proof technique for semi-quantum key distribution protocols which makes use of a quantum entropic uncertainty relation to bound an adversary's information. Our new technique provides a more optimistic key-rate…

Quantum Physics · Physics 2018-01-09 Walter O. Krawec

We consider a coded cooperative data exchange problem with the goal of generating a secret key. Specifically, we investigate the number of public transmissions required for a set of clients to agree on a secret key with probability one,…

Information Theory · Computer Science 2014-07-02 Thomas A. Courtade , Thomas R. Halford

We consider the quantum decoding problem. It consists in recovering a codeword given a superposition of noisy versions of this codeword. By measuring the superposition, we get back to the classical decoding problem. It appears for the first…

Quantum Physics · Physics 2026-02-05 Agathe Blanvillain , André Chailloux , Jean-Pierre Tillich

We prove a new outer bound on the rate-distortion region for the multiterminal source-coding problem. This bound subsumes the best outer bound in the literature and improves upon it strictly in some cases. The improved bound enables us to…

Information Theory · Computer Science 2007-07-16 Aaron B. Wagner , Venkat Anantharam

We present new lower and upper bounds for the compression rate of binary prefix codes optimized over memoryless sources according to two related exponential codeword length objectives. The objectives explored here are exponential-average…

Information Theory · Computer Science 2011-05-03 Michael B. Baer

The source coding problem with encoded side information is considered. A lower bound on the strong converse exponent has been derived by Oohama, but its tightness has not been clarified. In this paper, we derive a tight strong converse…

Information Theory · Computer Science 2024-04-04 Daisuke Takeuchi , Shun Watanabe

Two parties, Alice and Bob, wish to distill a binary secret key out of a list of correlated variables that they share after running a quantum key distribution protocol based on continuous-spectrum quantum carriers. We present a novel…

Cryptography and Security · Computer Science 2007-05-23 G. Van Assche , J. Cardinal , N. J. Cerf

The communication complexity of achieving secret key (SK) capacity in the multiterminal source model of Csisz$\'a$r and Narayan is the minimum rate of public communication required to generate a maximal-rate SK. It is well known that the…

Information Theory · Computer Science 2015-04-06 Manuj Mukherjee , Navin Kashyap

We consider secure multi-terminal source coding problems in the presence of a public helper. Two main scenarios are studied: 1) source coding with a helper where the coded side information from the helper is eavesdropped by an external…

Information Theory · Computer Science 2013-07-05 Kittipong Kittichokechai , Yeow-Khiang Chia , Tobias J. Oechtering , Mikael Skoglund , Tsachy Weissman
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