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We consider the lossless compression bound of any individual data sequence. If we fit the data by a parametric model, the entropy quantity $nH({\hat \theta}_n)$ obtained by plugging in the maximum likelihood estimate is an underestimate of…

Information Theory · Computer Science 2024-01-23 Lei M Li

We study privacy guarantees in the framework of pointwise maximal leakage (PML) that satisfy two requirements: they are robust under post-processing and upper bound the failure probability, i.e., the probability that the information leakage…

Cryptography and Security · Computer Science 2026-05-21 Sara Saeidian , Carlos Pinzón , Catuscia Palamidessi

Correlated sources are present in communication systems where protocols ensure that there is some predetermined information for sources to transmit. Here, two correlated sources across a channel with eavesdroppers are investigated, and…

Information Theory · Computer Science 2014-11-06 R. Balmahoon , H. Vinck , L. Cheng

We introduce a novel generalization of entropy and conditional entropy from which most definitions from the literature can be derived as particular cases. Within this general framework, we investigate the problem of designing…

Information Theory · Computer Science 2018-11-27 MHR Khouzani , Pasquale Malacaria

Sequential multi-agent large language model (LLM) systems are increasingly deployed in sensitive domains such as healthcare, finance, and enterprise decision-making, where multiple specialized agents collaboratively process a single user…

Multiagent Systems · Computer Science 2026-03-09 Sadia Asif , Mohammad Mohammadi Amiri

The previous work showed that the Y00 protocol could stay secure with the eavesdropper's guessing probability on the secret keys being strictly less than one under an unlimitedly long known-plaintext attack with quantum memory. However, an…

Cryptography and Security · Computer Science 2019-02-15 Takehisa Iwakoshi

Random sequences attain the highest entropy rate. The estimation of entropy rate for an ergodic source can be done using the Lempel Ziv complexity measure yet, the exact entropy rate value is only reached in the infinite limit. We prove…

Chaotic Dynamics · Physics 2013-11-05 E. Estevez-Rams , R. Lora Serrano , B. Aragón Fernández , I. Brito Reyes

We explore the relation between entanglement entropy of quantum many body systems and the distribution of corresponding, properly selected, observables. Such a relation is necessary to actually measure the entanglement entropy. We show that…

Statistical Mechanics · Physics 2009-11-11 Israel Klich , Gil Refael , Alessandro Silva

This paper is concerned with the general multiple access wiretap channel and the existence of codes that accomplish reliability and strong secrecy. Information leakage to the eavesdropper is assessed by the variational distance metric,…

Information Theory · Computer Science 2020-03-10 Manos Athanasakos , Nicholas Kalouptsidis

Shannon's analysis of the fundamental capacity limits for memoryless communication channels has been refined over time. In this paper, the maximum volume $M_\avg^*(n,\epsilon)$ of length-$n$ codes subject to an average decoding error…

Information Theory · Computer Science 2016-12-28 Pierre Moulin

We propose a quantum soft-covering problem for a given general quantum channel and one of its output states, which consists in finding the minimum rank of an input state needed to approximate the given channel output. We then prove a…

Quantum Physics · Physics 2024-09-25 Touheed Anwar Atif , S. Sandeep Pradhan , Andreas Winter

This paper considers point to point secure communication over flat fading channels under an outage constraint. More specifically, we extend the definition of outage capacity to account for the secrecy constraint and obtain sharp…

Information Theory · Computer Science 2011-12-14 Onur Gungor , Jian Tan , C. Emre Koksal , Hesham El Gamal , Ness B. Shroff

In this paper, we consider a scenario where a source node wishes to broadcast two confidential messages for two respective receivers, while a wire-tapper also receives the transmitted signal. This model is motivated by wireless…

Information Theory · Computer Science 2008-07-30 Ghadamali Bagherikaram , Abolfazl S. Motahari , Amir K. Khandani

The problem of publishing privacy-guaranteed data for hypothesis testing is studied using the maximal leakage (ML) as a metric for privacy and the type-II error exponent as the utility metric. The optimal mechanism (random mapping) that…

Information Theory · Computer Science 2017-04-12 Jiachun Liao , Lalitha Sankar , Flavio P. Calmon , Vincent Y. F. Tan

Slepian-Wolf theorem is a well-known framework that targets almost lossless compression of (two) data streams with symbol-by-symbol correlation between the outputs of (two) distributed sources. However, this paper considers a different…

Information Theory · Computer Science 2012-06-20 Ahmad Beirami , Faramarz Fekri

Strong attacks against quantum key distribution use quantum memories and quantum gates to attack directly the final key. In this paper we extend a novel security result recently obtained, to demonstrate proofs of security against a wide…

Quantum Physics · Physics 2008-02-03 E. Biahm , T. Mor

We present a development of parts of rate-distortion theory and pattern- matching algorithms for lossy data compression, centered around a lossy version of the Asymptotic Equipartition Property (AEP). This treatment closely parallels the…

Probability · Mathematics 2007-07-16 A. Dembo , I. Kontoyiannis

A secret key can be used to conceal information from an eavesdropper during communication, as in Shannon's cipher system. Most theoretical guarantees of secrecy require the secret key space to grow exponentially with the length of…

Information Theory · Computer Science 2012-05-18 Curt Schieler , Paul Cuff

It is known that given the real sum of two independent uniformly distributed lattice points from the same nested lattice codebook, the eavesdropper can obtain at most 1 bit of information per channel regarding the value of one of the…

Information Theory · Computer Science 2009-10-15 Xiang He , Aylin Yener

Caching aims to store data locally in some nodes within the network to be able to retrieve the contents in shorter time periods. However, caching in the network did not always consider secure storage (due to the compromise between time…

Information Theory · Computer Science 2017-09-04 Mohsen Karimzadeh Kiskani , Hamid Sadjadpour
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