Dynamics, Information and Complexity in Quantum Systems

DOI10.1007/978-3-031-34248-6OpenAlexW216770733MaRDI QIDQ6055660

Fabio Benatti

Publication date: 30 October 2023

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-031-34248-6

zbMATH Keywords

relative entropyergodicityquantum information theoryalgorithmic complexityquantum mechanicsvon Neumann algebrasentanglementquantum dynamicsTuring machineShannon entropyentropy ratequantum complexitytransmission channelspositive mapquantum dynamical entropyfinite degrees of freedominfinite degrees of freedomKolmogorov-Sinai dynamical entropysource compression

Mathematics Subject Classification ID

Quantum computation (81P68) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Algorithmic information theory (Kolmogorov complexity, etc.) (68Q30) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Research exposition (monographs, survey articles) pertaining to statistical mechanics (82-02) Applications of selfadjoint operator algebras to physics (46L60) Quantum stochastic calculus (81S25) Quantum measurement theory, state operations, state preparations (81P15) Coding and information theory (compaction, compression, models of communication, encoding schemes, etc.) (aspects in computer science) (68P30) Measures of information, entropy (94A17) Channel models (including quantum) in information and communication theory (94A40) Coding theorems (Shannon theory) (94A24)