# Quantum Entropy and Its Use (Theoretical and Mathematical Physics) download epub

#### by **Denes Petz,Masanori Ohya**

**Epub Book:**1432 kb. |

**Fb2 Book:**1397 kb.

Series: Theoretical and Mathematical Physics. in Physics of Entropy.

Series: Theoretical and Mathematical Physics. Hardcover: 347 pages. ISBN-13: 978-3540548812. Shipping Weight: . pounds. Don't have a Kindle? Get your Kindle here, or download a FREE Kindle Reading App.

Theoretical and Mathematical Physics. Bibliographic Information. Quantum Entropy and Its Use. Authors: Ohya, . Petz, Denes. Use of quantum-entropy quantities is made in perturbation theory, central limit theorems, thermodynamics of spin systems, entropic uncertainty relations, and optical communication. This new softcover corrected reprint contains summaries of recent developments added to the ends of the chapters. Authors. Theoretical and Mathematical Physics.

The use of the concepts and methods of functional analysis not only makes the theory of quantum entropy more uniform and lu cid, but it essentially simplifies and extends it. A comprehensive presentation without these elements would. A comprehensive presentation without these elements would not be possible. Entropy is a concept which appears in several fields and it is in the center of interest both in mathematical and physical subjects, sometimes even at other places, for example in communication engineering. The birthplace of quantum entropy was in quantum statistical mechanics.

Dénes Petz, Masanori Ohya. I Entropies for Finite Quantum Systems. 1 Fundamental Concepts. 2 Postulates for Entropy and Relative Entropy. 3 Convex Trace Functions. II Entropies for General Quantum Systems. 4 Modular Theory and Auxiliaries. 5 Relative Entropy of States of Operator Algebras. 6 From Relative Entropy to Entropy. 7 Functionals of Entropy Type. III Channeling Transformation and Coarse Graining. 8 Channels and Their Transpose. 9 Sufficient Channels and Measurements. 10 Dynamical Entropy.

Quantum Mathematical Physics 2nd ed. 2002. By (author) Masanori Ohya, By (author) Petz Denes.

Use of quantum-entropy quantities is made in perturbation theory, central limit theorems, thermodynamics of spin systems, entropic uncertainty relations, and optical communication

Use of quantum-entropy quantities is made in perturbation theory, central limit theorems, thermodynamics of spin systems, entropic uncertainty relations, and optical communication. This new softcover corrected reprint contains summaries of recent developments added to the ends of the chapters.

Masanori Ohya; Denes Petz Quantum Entropy and Its Use (Texts & Monographs in Physics). ISBN 13: 9780387548814. Quantum Entropy and Its Use (Texts & Monographs in Physics). Masanori Ohya; Denes Petz.

Masanori Ohya, Japanese mathematical physics professional. Quantum Entropy and Its Use (Theoretical and Mathematical Physics). This monograph, by now a standard reference in the field, provides a complete overview of quantum entropy theory, from the early days of quantum mechanics up to the most recent developments.

An introduction to the theory of operator sets and algebras is also presented

An introduction to the theory of operator sets and algebras is also presented. This mathematical material is then used for a systematic analysis of the operator structure of quantum theory. Logical building of the theory is discussed as well as its practical aspects, such as spectral properties of quantum mechanical Hamiltonians, scattering theory, and more

Thismonograph, by now a standard reference in the field,provides a complete overview of quantum entropy theory, from the early days of quantum mechanics up to the most recent developments. It employs mathematical formalism based on operator theory and functional analysis with a goal of creating a comprehensive account of the different entropy concepts, their interrelations and use. Among the ideas discussed are entropy of a quantum state, relative entropy, mutual entropy, entropy of a coarse graining and dynamical entropy. Numerous fundamental properties of quantum information measurement are developed, including the von Neumann entropy of a statistical operator and its limiting normalized version, the entropy rate. Use of quantum-entropy quantities is made in perturbation theory, central limit theorems, thermodynamics of spin systems, entropic uncertainty relations, and optical communication. This new softcover corrected reprint contains summaries of recent developments added to the ends of thechapters.

**Author:**Denes Petz,Masanori Ohya

**ISBN:**3540548815

**Category:**Science & Math

**Subcategory:**Chemistry

**Language:**English

**Publisher:**Springer; 1 edition (January 22, 1993)

**Pages:**347 pages