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The field of Information Theory is founded on Claude Shannon's seminal ideas relating to entropy. Nevertheless, his well-known avoidance of meaning (Shannon, 1948) still persists to this day, so that Information Theory remains poorly…

Information Theory · Computer Science 2022-01-17 Philip Tetlow , Dinesh Garg , Leigh Chase , Mark Mattingley-Scott , Nicholas Bronn , Kugendran Naidoo , Emil Reinert

We present a theory of information expressed solely in terms of which transformations of physical systems are possible and which are impossible - i.e. in constructor-theoretic terms. Although it includes conjectured laws of physics that are…

Quantum Physics · Physics 2015-06-19 David Deutsch , Chiara Marletto

In service to the mathematical underpinnings of the Information Integration Theory of Consciousness (IIT), we introduce four measures of integration based on the partial information decomposition framework. We compare our measures to…

Information Theory · Computer Science 2026-05-19 Virgil Griffith

This document discusses the Information Theoretically Efficient Model (ITEM), a computerized system to generate an information theoretically efficient multinomial logistic regression from a general dataset. More specifically, this model is…

Machine Learning · Computer Science 2014-11-05 Tyler Ward

Quantum information and computation may serve as a source of useful axioms and ideas for the quantum logic/quantum structures project of characterizing and classifying types of physical theories, including quantum mechanics and classical…

Quantum Physics · Physics 2007-05-23 Howard Barnum

Information theory establishes the fundamental limits on data transmission, storage, and processing. Quantum information theory unites information theoretic ideas with an accurate quantum-mechanical description of reality to give a more…

Quantum Physics · Physics 2017-02-01 Andrew W. Cross , Ke Li , Graeme Smith

In our previous arXiv papers ("The Information and the Matter", v1, v5; more systematically the informational conception is presented in the paper "The Information as Absolute", 2010) it was rigorously shown that Matter in our Universe -…

General Physics · Physics 2021-09-08 Sergey V. Shevchenko , Vladimir V. Tokarevsky

Algorithmic information theory roots the concept of information in computation rather than probability. These lecture notes were constructed in conjunction with the graduate course I taught at Universit\`a della Svizzera italiana in the…

Information Theory · Computer Science 2025-04-29 Charles Alexandre Bédard

In this paper we give a thorough presentation of a model proposed by Tononi et al. for modeling \emph{integrated information}, i.e. how much information is generated in a system transitioning from one state to the next one by the causal…

Artificial Intelligence · Computer Science 2010-01-05 Alessandro Epasto , Enrico Nardelli

The Multiple Intelligence Theory (MI) is one of the models that study and describe the cognitive abilities of an individual. In [7] is presented a referential system which allows to identify the Multiple Intelligences of the students of a…

History and Overview · Mathematics 2007-05-23 Mike Malatesta , Yamilet Quintana

An inductive logic can be formulated in which the elements are not propositions or probability distributions, but information systems. The logic is complete for information systems with binary hypotheses, i.e., it applies to all such…

Artificial Intelligence · Computer Science 2013-04-11 Norman C. Dalkey

Quantum information theory represents a rich subject of discussion for those interested in the philosphical and foundational issues surrounding quantum mechanics for a simple reason: one can cast its central concerns in terms of a…

Quantum Physics · Physics 2007-05-23 Christopher G Timpson

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

Quantum theory can be derived from purely informational principles. Five elementary axioms-causality, perfect distinguishability, ideal compression, local distinguishability, and pure conditioning-define a broad class of theories of…

Quantum Physics · Physics 2015-03-17 G. Chiribella , G. M. D'Ariano , P. Perinotti

Quantum mechanics, information theory, and relativity theory are the basic foundations of theoretical physics. The acquisition of information from a quantum system is the interface of classical and quantum physics. Essential tools for its…

Quantum Physics · Physics 2011-04-29 Asher Peres , Daniel R. Terno

We consider probabilistic theories in which the most elementary system, a two-dimensional system, contains one bit of information. The bit is assumed to be contained in any complete set of mutually complementary measurements. The…

Quantum Physics · Physics 2009-07-10 Caslav Brukner , Anton Zeilinger

After more than a century since its birth, Quantum Theory still eludes our understanding. If asked to describe it, we have to resort to abstract and ad hoc principles about complex Hilbert spaces. How is it possible that a fundamental…

Quantum Physics · Physics 2012-10-09 G. Chiribella , G. M. D'Ariano , P. Perinotti

The article provides an overview of approaches to modeling the human psyche in the perspective of building an artificial one. Based on the review, a concept of cognitive architecture is proposed, where the psyche is considered as an…

Neurons and Cognition · Quantitative Biology 2025-09-11 Anton Kolonin , Vladimir Kryukov

The paper serves as the first contribution towards the development of the theory of efficiency: a unifying framework for the currently disjoint theories of information, complexity, communication and computation. Realizing the defining…

Computational Complexity · Computer Science 2016-10-26 Roman V. Yampolskiy

In this work we build a theoretical framework for the transport of information in quantum systems. This is a framework aimed at describing how out of equilibrium open quantum systems move information around their state space, using an…

Quantum Physics · Physics 2021-07-23 F. Anza