ENGLISH

Quantum Entropies: Dynamics, Information and Complexity

By Dr. Fabio Benatti (auth.)

Book information

Publisher
Springer Netherlands
Year
2009
ISBN
978-1-4020-9305-0, 978-1-4020-9306-7
DOI
10.1007/978-1-4020-9306-7
Language
english
Format
PDF
Filesize
9 MB (9448345 bytes)
Series
Theoretical and Mathematical Physics
Edition
1
Pages
536\536
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Information and Physics;Dynamical Systems and ErgoQuantum Computing

Description

The leading theme of the book is complexity in quantum dynamics. This issue is addressed by comparison with the classical ergodic, information and algorithmic complexity theories. Of particular importance is the notion of Kolmogorov-Sinai dynamical entropy and of its inequivalent quantum extensions formulated by Connes, Narnhofer and Thirring on one hand and Alicki and Fannes on the other. Their connections with extensions to quantum systems of Kolmogorov-Chaitin-Solomonoff algorithmic complexity theory is also presented. The technical tools employed are those of the algebraic approach to quantum statistical mechanics which offers a unifying view of classical and quantum dynamical systems. Proofs and examples are provided in order to make the presentation self consistent.

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