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We consider block codes for degraded wiretap channels in which the legitimate receiver decodes the message with an asymptotic error probability no larger than $\varepsilon$ but the leakage to the eavesdropper vanishes. For discrete…

Information Theory · Computer Science 2014-09-29 Vincent Y. F. Tan , Matthieu R. Bloch

We present information-theoretic definitions and results for analyzing symmetric-key encryption schemes beyond the perfect secrecy regime, i.e. when perfect secrecy is not attained. We adopt two lines of analysis, one based on lossless…

Information Theory · Computer Science 2015-03-31 Flavio du Pin Calmon , Muriel Médard , Mayank Varia , Ken R. Duffy , Mark M. Christiansen , Linda M. Zeger

Quantum key distribution has emerged as a promising solution for constructing secure communication networks, offering information-theoretic security guaranteed by the principles of quantum mechanics. One of the most advanced quantum key…

Quantum Physics · Physics 2024-08-30 Yizhi Huang , Zhenyu Du , Xiongfeng Ma

This paper investigates Distributed Hypothesis testing (DHT), in which a source $\mathbf{X}$ is encoded given that side information $\mathbf{Y}$ is available at the decoder only. Based on the received coded data, the receiver aims to decide…

Information Theory · Computer Science 2023-05-12 Ismaila Salihou Adamou , Elsa Dupraz , Tad Matsumoto

Given a general source $\sV=\{V^n\}\noi$ with {\em countably infinite} source alphabet and a general channel $\sW=\{W^n\}\noi$ with arbitrary {\em abstract} channel input and output alphabets, we study the joint source-channel coding…

Probability · Mathematics 2007-07-13 Te Sun Han

Shannon showed that to achieve perfect secrecy in point-to-point communication, the message rate cannot exceed the shared secret key rate giving rise to the simple one-time pad encryption scheme. In this paper, we extend this work from…

Information Theory · Computer Science 2020-05-29 Hongchao Zhou , Abbas El Gamal

We investigate the security of generalized quantum multiple-access channels. We provide the formula for the achievable rate region of secure communication in the scenario of two senders and a single receiver. We explicitly specify a…

Quantum Physics · Physics 2021-06-28 Tamoghna Das , Karol Horodecki , Robert Pisarczyk

In this paper we provide a proof of unconditional security for a semi-quantum key distribution protocol introduced in a previous work. This particular protocol demonstrated the possibility of using $X$ basis states to contribute to the raw…

Quantum Physics · Physics 2015-10-27 Walter O. Krawec

We derive a bound for the security of QKD with finite resources under one-way post-processing, based on a definition of security that is composable and has an operational meaning. While our proof relies on the assumption of collective…

Quantum Physics · Physics 2009-11-13 Valerio Scarani , Renato Renner

In this work we derive a number of chain rules for mutual information quantities, suitable for analyzing quantum cryptography with imperfect devices that leak additional information to an adversary. First, we derive a chain rule between…

Quantum Physics · Physics 2024-12-10 Amir Arqand , Tony Metger , Ernest Y. -Z. Tan

The information spectrum approach gives general formulae for optimal rates of various information theoretic protocols, under minimal assumptions on the nature of the sources, channels and entanglement resources involved. This paper…

Quantum Physics · Physics 2007-05-23 Garry Bowen , Nilanjana Datta

A central server needs to perform statistical inference based on samples that are distributed over multiple users who can each send a message of limited length to the center. We study problems of distribution learning and identity testing…

Data Structures and Algorithms · Computer Science 2020-10-02 Jayadev Acharya , Clément L. Canonne , Himanshu Tyagi

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

Given a general source with countably infinite source alphabet and a general channel with arbitrary abstract channel input/channel output alphabets, we study the joint source-channel coding problem from the information-spectrum point of…

Information Theory · Computer Science 2007-12-19 Te Sun Han

We extend the results of Ghourchian et al. [IEEE JSAIT-2021], to joint source-channel coding with eavesdropping. Our work characterizes the sequential encoding process using the cumulative rate distribution functions (CRDF) and includes a…

Information Theory · Computer Science 2023-05-11 Hamid Ghourchian , Tobias J. Oechtering , Mikael Skoglund

In this work, we study the secure index coding problem where there are security constraints on both legitimate receivers and eavesdroppers. We develop two performance bounds (i.e., converse results) on the symmetric secure capacity. The…

Information Theory · Computer Science 2021-05-18 Yucheng Liu , Lawrence Ong , Parastoo Sadeghi , Neda Aboutorab , Arman Sharififar

This paper provides a source coding theorem for multi-dimensional information signals when, at a given instant, the distribution associated with one arbitrary component of the signal to be compressed is not known and a side information is…

Information Theory · Computer Science 2012-10-24 Maël Le Treust , Samson Lasaulce

Decentralized secure aggregation (DSA) considers a fully-connected network of $K$ users, where each pair of users can communicate bidirectionally over an error-free channel. Each user holds a private input, and the goal is for each user to…

Information Theory · Computer Science 2025-12-19 Zhou Li , Xiang Zhang , Giuseppe Caire

The problem of secure source coding with multiple terminals is extended by considering a remote source whose noisy measurements are the correlated random variables used for secure source reconstruction. The main additions to the problem…

Information Theory · Computer Science 2022-11-10 Onur Günlü , Rafael F. Schaefer , Holger Boche , H. Vincent Poor

This paper considers a multimessage network where each node may send a message to any other node in the network. Under the discrete memoryless model, we prove the strong converse theorem for any network whose cut-set bound is tight, i.e.,…

Information Theory · Computer Science 2019-02-07 Silas L. Fong , Vincent Y. F. Tan