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We consider overdamped physical systems evolving under a feedback-controlled fluctuating potential and in contact with a thermal bath at temperature $T$. A Markovian description of the dynamics, which keeps only the last value of the…

Statistical Mechanics · Physics 2026-02-12 Natalia Ruiz-Pino , Antonio Prados

This paper introduces an objective metric for evaluating a parsing scheme. It is based on Shannon's original work with letter sequences, which can be extended to part-of-speech tag sequences. It is shown that this regular language is an…

cmp-lg · Computer Science 2008-02-03 Caroline Lyon , Stephen Brown

Shannon entropy is the shortest average codeword length a lossless compressor can achieve by encoding i.i.d. symbols. However, there are cases in which the objective is to minimize the \textit{exponential} average codeword length, i.e. when…

Information Theory · Computer Science 2024-06-10 Andrea Somazzi , Paolo Ferragina , Diego Garlaschelli

The technique of hiding secret messages within seemingly harmless covertext to evade examination by censors with rigorous security proofs is known as provably secure steganography (PSS). PSS evolves from symmetric key steganography to…

Cryptography and Security · Computer Science 2025-04-29 Xin Zhang , Kejiang Chen , Na Zhao , Weiming Zhang , Nenghai Yu

Until now the discussion on perfect security for steganographic systems has remained confined within the realm of mathematicians and information theory experts whose concise and symbolic representation of their philosophies, postulates, and…

Cryptography and Security · Computer Science 2013-10-23 Khan Farhan Rafat , M. Sher

Cryptographic key exchange protocols traditionally rely on computational conjectures such as the hardness of prime factorisation to provide security against eavesdropping attacks. Remarkably, quantum key distribution protocols like the one…

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

In the field of distributed consensus and blockchains, the synchronous communication model assumes that all messages between honest parties are delayed at most by a known constant $\Delta$. Recent literature establishes that the…

Cryptography and Security · Computer Science 2021-02-02 Suryanarayana Sankagiri , Shreyas Gandlur , Bruce Hajek

How hard is it guess a password? Massey showed that that the Shannon entropy of the distribution from which the password is selected is a lower bound on the expected number of guesses, but one which is not tight in general. In a series of…

Information Theory · Computer Science 2013-02-12 Mark M. Christiansen , Ken R. Duffy

The shift to smart grids has made electrical power systems more vulnerable to sophisticated cyber threats. To protect these systems, holistic security measures that encompass preventive, detective, and reactive components are required, even…

Cryptography and Security · Computer Science 2024-12-09 Omer Sen , Mehdi Akbari Gurabi , Milan Deruelle , Andreas Ulbig , Stefan Decker

We introduce the (private) entropy of a directed graph (in a new network coding sense) as well as a number of related concepts. We show that the entropy of a directed graph is identical to its guessing number and can be bounded from below…

Combinatorics · Mathematics 2007-11-28 Soren Riis

The principle of compressed sensing (CS) can be applied in a cryptosystem by providing the notion of security. In information-theoretic sense, it is known that a CS-based cryptosystem can be perfectly secure if it employs a random Gaussian…

Information Theory · Computer Science 2017-09-19 Nam Yul Yu

Comprehensive no-go theorems show that information encoded over local two-dimensional topologically ordered systems cannot support macroscopic energy barriers, and hence will not maintain stable quantum information at finite temperatures…

Quantum Physics · Physics 2014-03-31 Benjamin J. Brown , Abbas Al-Shimary , Jiannis K. Pachos

Fully Encrypted Protocols (FEPs) have arisen in practice as a technique to avoid network censorship. Such protocols are designed to produce messages that appear completely random. This design hides communications metadata, such as version…

Cryptography and Security · Computer Science 2024-09-09 Ellis Fenske , Aaron Johnson

Index coding is concerned with efficient broadcast of a set of messages to receivers in the presence of receiver side information. In this paper, we study the secure index coding problem with security constraints on the receivers…

Information Theory · Computer Science 2020-04-16 Yucheng Liu , Parastoo Sadeghi , Neda Aboutorab , Arman Sharififar

This paper addresses the design of a dedicated homophonic coding for a class of communication systems which, in order to provide both reliability and security, first encode the data before encrypting it, which is referred to as the…

Cryptography and Security · Computer Science 2015-03-17 Miodrag J. Mihaljevic , Frederique Oggier , Hideki Imai

Outsourcing data storage to the remote cloud can be an economical solution to enhance data management in the smart grid ecosystem. To protect the privacy of data, the utility company may choose to encrypt the data before uploading them to…

Cryptography and Security · Computer Science 2018-11-01 Jiangnan Li , Xiangyu Niu , Jinyuan Stella Sun

The problem of securing a network coding communication system against an eavesdropper adversary is considered. The network implements linear network coding to deliver n packets from source to each receiver, and the adversary can eavesdrop…

Information Theory · Computer Science 2019-05-07 Danilo Silva , Frank R. Kschischang

In many complex systems, whether biological or artificial, the thermodynamic costs of communication among their components are large. These systems also tend to split information transmitted between any two components across multiple…

Statistical Mechanics · Physics 2024-02-12 Farita Tasnim , Nahuel Freitas , David H. Wolpert

Nodes of sensor networks may be resource-constrained devices, often having a limited lifetime, making sensor networks remarkably dynamic environments. Managing a cryptographic protocol on such setups may require a disproportionate effort…

Cryptography and Security · Computer Science 2020-06-15 Riccardo Aragona , Roberto Civino , Norberto Gavioli , Marco Pugliese