Entropy of Quantum Dynamical Systems and Sufficient Families in Orthomodular Lattices with Bayessian State

2008 ◽  
Vol 50 (3) ◽  
pp. 551-556 ◽  
Author(s):  
Mona Khare ◽  
Shraddha Roy
Keyword(s):  
Dynamical Systems ◽  
Orthomodular Lattices ◽  
Quantum Dynamical ◽  
Quantum Dynamical Systems

Spectrum of quantum dynamical systems: Subsystems and entropy

2014 ◽  
Vol 5 (2) ◽  
Author(s):  
Mona Khare ◽  
Anurag Shukla
Keyword(s):  
Dynamical System ◽  
Dynamical Systems ◽  
Orthomodular Lattices ◽  
Quantum Dynamical ◽  
Quantum Dynamical System ◽  
Quantum Dynamical Systems

Abstract.In the present paper, we have studied quantum dynamical systems of difference posets, their equivalence, subsystems and spectra. It is shown that every subsystem of a mixing quantum dynamical system is mixing, and also a bounded spectrum of quantum dynamical systems has its supremum, and all such suprema are equivalent. Entropy of subsystems of a quantum dynamical system of orthomodular lattices is also investigated.

scholarly journals MULTI-TIME CORRELATIONS IN RELAXING QUANTUM DYNAMICAL SYSTEMS

2000 ◽  
Vol 12 (07) ◽  
pp. 921-944 ◽  
Author(s):  
JOHAN ANDRIES ◽  
FABIO BENATTI ◽  
MIEKE De COCK ◽  
MARK FANNES
Keyword(s):  
Dynamical Systems ◽  
Correlation Functions ◽  
Time Correlation ◽  
Time Correlation Functions ◽  
Quantum Dynamical ◽  
Time Asymptotics ◽  
Time Correlations ◽  
Long Time ◽  
Long Time Asymptotics ◽  
Quantum Dynamical Systems

In this paper, we consider the long time asymptotics of multi-time correlation functions for quantum dynamical systems that are sufficiently random to relax to a reference state. In particular, the evolution of such systems must have a continuous spectrum. Special attention is paid to general dynamical clustering conditions and their consequences for the structure of fluctuations of temporal averages. This approach is applied to the so-called Powers–Price shifts.

scholarly journals Logical entropy of quantum dynamical systems

Open Physics ◽  
2016 ◽  
Vol 14 (1) ◽  
pp. 1-5 ◽  
Author(s):  
Abolfazl Ebrahimzadeh
Keyword(s):  
Dynamical System ◽  
Dynamical Systems ◽  
Quantum Logic ◽  
Quantum Dynamical ◽  
Quantum Dynamical System ◽  
Ergodic Properties ◽  
Quantum Dynamical Systems ◽  
Logical Entropy

AbstractThis paper introduces the concepts of logical entropy and conditional logical entropy of hnite partitions on a quantum logic. Some of their ergodic properties are presented. Also logical entropy of a quantum dynamical system is dehned and ergodic properties of dynamical systems on a quantum logic are investigated. Finally, the version of Kolmogorov-Sinai theorem is proved.

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