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Quantum measurements, open systems and dynamical entropy

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Open Systems and Measurement in Relativistic Quantum Theory

Part of the book series: Lecture Notes in Physics ((LNP,volume 526))

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Abstract

We briefly review mathematical foundations of C*-algebraic methods in quantum physics and the operational approach to quantum measurements. Completely positive dynamical maps and quantum dynamical semigroups describing time evolutions of quantum open systems are also discussed. Within this framework a recently developed approach to noncommutative dynamical systems involving quantum symbolic dynamics and a quantum analog of the Kolmogorov-Sinai entropy is presented. Two models of infinite systems are studied as examples — quantum Bernoulli shift and a quasi-free fermionic system. Some insights into ‘quantum chaos’ in finite systems are also possible using this approach. They are illustrated by the quantum kicked top model. The relations to the formalism of decoherent histories are also discussed.

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Authors and Affiliations

  1. Institute of Theoretical Physics and Astrophysics, University of Gdańsk, Wita Stwosza 57, PL-80-952, Gdańsk, Poland

    Robert Alicki

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  1. Robert Alicki
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Heinz-Peter Breuer Francesco Petruccione

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© 1999 Springer-Verlag

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Alicki, R. (1999). Quantum measurements, open systems and dynamical entropy. In: Breuer, HP., Petruccione, F. (eds) Open Systems and Measurement in Relativistic Quantum Theory. Lecture Notes in Physics, vol 526. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0104398

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  • DOI: https://doi.org/10.1007/BFb0104398

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-65978-5

  • Online ISBN: 978-3-540-48808-8

  • eBook Packages: Springer Book Archive

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