Deformed Entropy and Information Relations for Composite and Noncomposite Systems

, &
Foundations of Physics 45 (7):783-798 (2015)
  Copy   BIBTEX

Abstract

The notion of conditional entropy is extended to noncomposite systems. The \-deformed entropic inequalities, which usually are associated with correlations of the subsystem degrees of freedom in bipartite systems, are found for the noncomposite systems. New entropic inequalities for quantum tomograms of qudit states including the single qudit states are obtained. The Araki–Lieb inequality is found for systems without subsystems

Categories

Keywords

Reprint years

DOI

10.1007/s10701-015-9890-9

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,322

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

My notes

Similar books and articles

Probability Description and Entropy of Classical and Quantum Systems.Margarita A. Man’ko & Vladimir I. Man’ko - 2011 - Foundations of Physics 41 (3):330-344.
Time Evolution in Macroscopic Systems. II. The Entropy.W. T. Grandy - 2004 - Foundations of Physics 34 (1):21-57.
Aspects concerning entropy and utility.A. R. Hoseinzadeh, G. R. Mohtashami Borzadaran & G. H. Yari - 2012 - Theory and Decision 72 (2):273-285.
On Entropy of Quantum Compound Systems.Noboru Watanabe - 2015 - Foundations of Physics 45 (10):1311-1329.
Maxwell's demon and the entropy cost of information.Paul N. Fahn - 1996 - Foundations of Physics 26 (1):71-93.
Entropy increase and information loss in Markov models of evolution.Elliott Sober & Mike Steel - 2011 - Biology and Philosophy 26 (2):223-250.
Macroscopic Time Evolution and MaxEnt Inference for Closed Systems with Hamiltonian Dynamics.Domagoj Kuić, Paško Županović & Davor Juretić - 2012 - Foundations of Physics 42 (2):319-339.
Competing Definitions of Information Versus Entropy in Physics.Thomas Durt - 2011 - Foundations of Science 16 (4):315-318.
Unitarity as Preservation of Entropy and Entanglement in Quantum Systems.Florian Hulpke, Uffe V. Poulsen, Anna Sanpera, Aditi Sen, Ujjwal Sen & Maciej Lewenstein - 2006 - Foundations of Physics 36 (4):477-499.
How does the Entropy/information Bound Work?Jacob D. Bekenstein - 2005 - Foundations of Physics 35 (11):1805-1823.
An Order Model for Infinite Classical States.Joe Mashburn - 2008 - Foundations of Physics 38 (1):47-75.
An introduction to logical entropy and its relation to Shannon entropy.David Ellerman - 2013 - International Journal of Semantic Computing 7 (2):121-145.
Entropy and information: Suggestions for common language.Jeffrey S. Wicken - 1987 - Philosophy of Science 54 (2):176-193.
Chaos and randomness: An equivalence proof of a generalized version of the Shannon entropy and the kolmogorov–sinai entropy for Hamiltonian dynamical systems.Roman Frigg - manuscript
A quantum-mechanical treatment of Szilard's engine: Implications for the entropy of information. [REVIEW]L. C. Biedenharn & J. C. Solem - 1995 - Foundations of Physics 25 (8):1221-1229.

Analytics

Added to PP
2015-04-16

Downloads
29 (#532,461)

6 months
9 (#288,926)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

No citations found.

Add more citations

References found in this work

A Mathematical Theory of Communication.Claude Elwood Shannon - 1948 - Bell System Technical Journal 27 (April 1924):379–423.

Add more references