Dynamics, Information and Complexity in Quantum Systems (Theoretical and Mathematical Physics) - Hardcover

Über die Autorin bzw. den Autor

Fabio Benatti is an Associate Professor of the Department of Physics at the University of Trieste, Italy. He received the degree in Physics from the University of Trieste and the PhD in Mathematical Physics from SISSA - the International School for Advanced Studies in Trieste. He was post-doctoral fellow at the Institute for Theoretical Physics of the University of Vienna and at the Dublin Institute for Advanced Studies. His research interests include open quantum systems, quantum many-body physics, quantum information and quantum entropies. Also, Prof. Benatti is keen on exploring algorithmic complexity issues at the interface between classical and quantum behaviors.

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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.