On Kolgomorov-Sinai entropy and its quantization
W A Majewski
TL;DR
This paper introduces a novel approach to Kolmogorov-Sinai entropy and its quantization by applying Choquet theory to state decompositions, offering a rigorous perspective similar to entanglement of formation.
Contribution
It presents a new method for quantizing Kolmogorov-Sinai entropy using Choquet theory, bridging dynamical systems and quantum information concepts.
Findings
New framework for entropy quantization
Application of Choquet theory to dynamical systems
Rigorous description of entropy related to state decompositions
Abstract
In the paper we present the new approach to Kolmogorov-Sinai entropy and its quantization. Our presentation stems from an application of the Choquet theory to the theory of decompositions of states and therefore, it resembles our rigorous description of entanglement of formation
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Taxonomy
TopicsQuantum Mechanics and Applications · Advanced Thermodynamics and Statistical Mechanics · Quantum Information and Cryptography