Quantum Entropy and Its Use

Ohya, M.

ISBN 10: 3540208062 / ISBN 13: 9783540208068

Editore: Springer 2004-03, 2004

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Codice articolo 6666-IUK-9783540208068

Dati bibliografici

• Titolo: Quantum Entropy and Its Use
• Editore: Springer 2004-03
• Data di pubblicazione: 2004
• Lingua: Inglese
• ISBN 10: 3540208062
• ISBN 13: 9783540208068
• Rilegatura: PF
• Condizione: New

Descrizione articolo

Riassunto

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 the chapters.

 

Dalla quarta di copertina

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. 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 the chapters.