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Any physical process can be represented as a quantum channel mapping an initial state to a final state. Hence it can be characterized from the point of view of communication theory, i.e., in terms of its ability to transfer information.…

Quantum Physics · Physics 2014-12-16 F. Caruso , V. Giovannetti , C. Lupo , S. Mancini

This paper articulates metacognition using the language of statistical physics and Bayesian mechanics. Metacognitive beliefs, defined as beliefs about beliefs, find a natural description within this formalism, which allows us to define the…

Neurons and Cognition · Quantitative Biology 2024-06-17 Lars Sandved-Smith , Lancelot Da Costa

In communications, unknown variables are usually modelled as random variables, and concepts such as independence, entropy and information are defined in terms of the underlying probability distributions. In contrast, control theory often…

Systems and Control · Computer Science 2014-01-14 Girish N. Nair

A notion of directed information between two continuous-time processes is proposed. A key component in the definition is taking an infimum over all possible partitions of the time interval, which plays a role no less significant than the…

Information Theory · Computer Science 2012-11-01 Tsachy Weissman , Young-Han Kim , Haim H. Permuter

Information Theory provides a fundamental basis for analysis, and for a variety of subsequent methodological approaches, in relation to uncertainty quantification. The transversal character of concepts and derived results justifies its…

Statistics Theory · Mathematics 2024-11-27 Jose M. Angulo , Francisco J. Esquivel , Ana E. Madrid , Francisco J. Alonso

Cultural evolution allows ideas and technologies to accumulate across generations, reaching their most complex and open-ended form in humans. While social learning enables the transmission of such innovations, the cognitive processes that…

Multiagent Systems · Computer Science 2026-05-14 Anil Yaman , Shen Tian , Björn Lindström

Semantic communication aims to transmit information most relevant to a task rather than raw data, offering significant gains in communication efficiency for applications such as telepresence, augmented reality, and remote sensing. Recent…

Machine Learning · Computer Science 2025-12-18 Matin Mortaheb , Erciyes Karakaya , Sennur Ulukus

In this article a notion of information is presented which stresses the contextuality of quantum objects and their measurement. Mathematically this is reached by a quantification of the quantum mechanical surplus knowledge which has been…

Quantum Physics · Physics 2007-05-23 Gesche Pospiech

There are numerous characterizations of Shannon entropy and Tsallis entropy as measures of information obeying certain properties. Using work by Faddeev and Furuichi, we derive a very simple characterization. Instead of focusing on the…

Information Theory · Computer Science 2017-08-22 John C. Baez , Tobias Fritz , Tom Leinster

Given the constant rise in quantity and quality of data obtained from neural systems on many scales ranging from molecular to systems', information-theoretic analyses became increasingly necessary during the past few decades in the…

Information Theory · Computer Science 2013-10-08 Felix Effenberger

Spurred by a huge interest in the post-Shannon communication, it has recently been shown that leveraging semantics can significantly improve the communication effectiveness across many tasks. In this article, inspired by human…

Information Theory · Computer Science 2023-03-10 Hyowoon Seo , Jihong Park , Mehdi Bennis , Mérouane Debbah

We consider biological individuality in terms of information theoretic and graphical principles. Our purpose is to extract through an algorithmic decomposition system-environment boundaries supporting individuality. We infer or detect…

Populations and Evolution · Quantitative Biology 2014-12-09 David Krakauer , Nils Bertschinger , Eckehard Olbrich , Nihat Ay , Jessica C. Flack

Along with the springing up of the semantics-empowered communication (SemCom) research, it is now witnessing an unprecedentedly growing interest towards a wide range of aspects (e.g., theories, applications, metrics and implementations) in…

Human-Computer Interaction · Computer Science 2023-11-14 Zhilin Lu , Rongpeng Li , Kun Lu , Xianfu Chen , Ekram Hossain , Zhifeng Zhao , Honggang Zhang

Claude Shannons information theory (1949) has had a revolutionary impact on communication science. A crucial property of his framework is that it decouples the meaning of a message from the mechanistic details from the actual communication…

Adaptation and Self-Organizing Systems · Physics 2016-03-14 Rick Quax , Omri Har-Shemesh , Stefan Thurner , Peter M. A. Sloot

The application of the Shannon entropy to study the relationship between information and structures has yielded insights into molecular and material systems. However, the difficulty in directly observing and manipulating atoms and molecules…

We present quantitative relations between work and information that are valid both for finite sized and internally correlated systems as well in the thermodynamical limit. We suggest work extraction should be viewed as a game where the…

Quantum Physics · Physics 2015-05-13 Oscar C. O. Dahlsten , Renato Renner , Elisabeth Rieper , Vlatko Vedral

Energy has no definition, except that given by a conservation principle which essentially amounts to defining it as the elements of an open list of unknown cardinality. Entropy, identified by Shannon as information we lack, has too many…

History and Philosophy of Physics · Physics 2025-09-10 Didier Lairez

Semantic communication is deemed as a revolution of Shannon's paradigm in the six-generation (6G) wireless networks. It aims at transmitting the extracted information rather than the original data, which receivers will try to recover.…

Signal Processing · Electrical Eng. & Systems 2023-12-08 Yang Li , Xinyu Zhou , Jun Zhao

We investigate the application of semantic information theory to drug delivery systems (DDS) within the molecular communication (MC) framework. To operationalise this, we observe a DDS as a molecular concentration-based channel. Semantic…

Information Theory · Computer Science 2025-09-17 Milica Lekić , Mohammad Zoofaghari , Ilangko Balasingham , Mladen Veletić

Given that semantic Web realization is based on the critical mass of metadata accessibility and the representation of data with formal knowledge, it needs to generate metadata that is specific, easy to understand and well-defined. However,…

Digital Libraries · Computer Science 2013-12-18 Thabet Slimani
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