Quantization: Non-commutative dynamical entropy

DOI10.1016/S0034-4877(97)84893-8zbMath0897.60100MaRDI QIDQ1373577

Pim Tuyls

Publication date: 30 September 1998

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

quantizationKolmogorov-Sinai invariantdynamical entropy for quantum systems

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Cites Work

• A non-commutative version of the Arnold cat map
• Dynamical entropy of C *-algebras and von Neumann algebras
• Non-Markovian quantum stochastic processes and their entropy
• Finitely correlated states on quantum spin chains
• Une nouvelle définition de l'entropie dynamique des systèmes non commutatifs. (A new definition of dynamical entropy of non-commutative systems)
• Defining quantum dynamical entropy
• Comparison of dynamical entropies for the noncommutative shifts
• The dynamical entropy of the quantum Arnold cat map
• AN ALGEBRAIC APPROACH TO THE KOLMOGOROV-SINAI ENTROPY

This page was built for publication: Quantization: Non-commutative dynamical entropy