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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

Modern quantum information theory deals with an idealized situation when the spacetime dependence of quantum phenomena is neglected. However the transmission and processing of (quantum) information is a physical process in spacetime.…

Quantum Physics · Physics 2007-05-23 Igor V. Volovich

Recently Pikovski et al. have proposed in [ Pikovski I et al. 2015 Nature Phys. 11, 668] an intriguing universal decoherence mechanism, suggesting that gravitation may play a conceptually important role in the quantum-to-classical…

Quantum Physics · Physics 2017-11-29 J. K. Korbicz , J. Tuziemski

The notion of quantum information related to the two different perspectives of the global and local states is examined. There is circularity in the definition of quantum information because we can speak only of the information of systems…

Quantum Physics · Physics 2007-05-23 Subhash Kak

Space-time is one of the most essential, yet most mysterious concepts in physics. In quantum mechanics it is common to understand time as a marker of instances of evolution and define states around all the space but at one time; while in…

Quantum Physics · Physics 2020-12-01 Tian Zhang , Oscar Dahlsten , Vlatko Vedral

Quantum, in contrast to classical, information theory, allows for different incompatible types (or species) of information which cannot be combined with each other. Distinguishing these incompatible types is useful in understanding the role…

Quantum Physics · Physics 2009-11-13 Robert B. Griffiths

The aim of this work is to present the black hole information problem and discuss the assumptions and hypotheses necessary for its formulation. As the problem arises in the framework of semiclassical gravity, we first review the necessary…

General Relativity and Quantum Cosmology · Physics 2025-05-26 Thiago T. Bergamaschi

This paper introduces time into information theory, gives a more accurate definition of information, and unifies the information in cognition and Shannon information theory. Specially, we consider time as a measure of information, giving a…

Information Theory · Computer Science 2024-10-30 Yilun Liu , Lidong Zhu

We introduce and analyse the problem of encoding classical information into different resources of a quantum state. More precisely, we consider a general class of communication scenarios characterised by encoding operations that commute…

Quantum Physics · Physics 2022-08-08 Kamil Korzekwa , Zbigniew Puchała , Marco Tomamichel , Karol Życzkowski

We present a quantum information theory that allows for a consistent description of entanglement. It parallels classical (Shannon) information theory but is based entirely on density matrices (rather than probability distributions) for the…

Quantum Physics · Physics 2009-10-30 Nicolas J. Cerf , Chris Adami

The origin of black hole entropy and the black hole information problem provide important clues for trying to piece together a quantum theory of gravity. Thus far, discussions on this topic have mostly assumed that in a consistent theory of…

High Energy Physics - Theory · Physics 2012-10-02 Markus P. Mueller , Jonathan Oppenheim , Oscar C. O. Dahlsten

We characterize new universal features of the dynamics of chaotic quantum many-body systems, by considering a hypothetical task of "time estimation." Most macroscopic observables in a chaotic system equilibrate to nearly constant late-time…

Quantum Physics · Physics 2025-10-24 Haifeng Tang , Shreya Vardhan , Jinzhao Wang

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

General Physics · Physics 2011-05-05 S. V. Shevchenko , V. V. Tokarevsky

We consider a spatial analogue of the quantum error correction threshold. Given individual time-independent subsystems in which quantum information is coherent over sufficiently long lengths, we show how the information can be kept coherent…

Quantum Physics · Physics 2022-12-29 Ari Mizel

This paper represents an approach to creating global knowledge systems, using new philosophy and infrastructure of global distributed semantic network (frame knowledge representation system) based on the space-time database construction.…

Information Theory · Computer Science 2007-07-16 A. A. Prikhod'ko , N. A. Prikhod'ko

The widely considered assertion is that the unitarity of quantum mechanical evolution assures the preservation of information. It is even promoted in popular literature as an established fact. (Susskind, 2008) Yet, a simple chain of…

Quantum Physics · Physics 2013-11-27 Peter B. Lerner

We summarize basic features of quantum gravity states and processes, common to a number of related quantum gravity formalisms, and sharing a purely combinatorial and algebraic language, and a discrete geometric interpretation. We emphasize…

General Relativity and Quantum Cosmology · Physics 2025-03-03 Daniele Oriti

Coherent information is a useful concept in quantum information theory. It connects with other notions in data processing. In this short remark, we discuss the coherent information saturating its upper bound. A necessary and sufficient…

Quantum Physics · Physics 2012-10-29 Lin Zhang

This paper is generally concerned with understanding how the uncertainty principle arises in formulations of quantum mechanics, such as the decoherent histories approach, whose central goal is the assignment of probabilities to histories.…

General Relativity and Quantum Cosmology · Physics 2009-10-22 J. J. Halliwell

The decoherent histories approach is a natural medium in which to address problems in quantum theory which involve time in a non-trivial way. This article reviews the various attempts and difficulties involved in using the decoherent…

Quantum Physics · Physics 2007-05-23 J. J. Halliwell