2000/07/20 by Paolo Grigolini, Marco Pala, Marco G. Pala +1 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Entropy (arrow of time) #Entropy production #Entropy rate #Generalized relative entropy #Joint quantum entropy #Mathematics #Min entropy #Open quantum system #Physics #Pure mathematics #Quantum #Quantum Mechanics and Applications #Quantum chaos and dynamical systems #Quantum decoherence #Quantum discord #Quantum entanglement #Quantum mechanics #Quantum mutual information #Quantum relative entropy #Statistical physics #Time evolution #Von Neumann architecture #Von Neumann entropy #cond-mat.stat-mech
paper · pdf · doi:10.1016/s0375-9601(01)00315-2
5 pages, 2 figures
arxiv created 2000/07/20 · openalex publication_date 2001/06/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the time evolution of a quantum system without classical counterpart, undergoing a process of entropy increase due to the environment influence. We show that if the environment-induced decoherence is interpreted in terms of wave-function collapses, a symbolic sequence can be generated. We prove that the Kolmogorov-Sinai entropy of this sequence coincides with rate of von Neumann entropy increase.