Information and Entropies

Jincheng Zhang

This paper proposes the Information Entropy Physical Quantization (IEPQ) framework, a novel approach to understanding the physical nature of information entropy within the context of quantum systems. The core claim of IEPQ is that information entropy can be physically quantifiable and exhibits a fundamental correspondence with quantum states. The proposed mechanism leverages quantum information theory, mapping information entropy to the description of quantum states. Utilizing quantum measurement and entanglement, IEPQ seeks to achieve the physical manipulation and transformation of information entropy. This work delves into the mathematical formalization of this framework, outlining key concepts and potential applications, primarily focusing on the theoretical development rather than experimental validation. The goal is to establish a bridge between information theory and quantum physics, offering a new perspective on the relationship between information and reality at the fundamental level. ---

Eduardo Jose Bayro-Corrochano

Anil Kumar

This is intended to be an introductory book on information entropy. The concept of information theory is too broad to be captured by single definition. The term entropy is used in information theory to describe the amount of uncertainty. The information entropy is a fundamental quantity, related to thermodynamical entropy, which measures the extent of single particle density. The information and entropy both depend upon the choice of probability distribution. Quantum information science will lead to the creation of a quantum computer to solve problem that could not be solved by classical computer. The ideas from information theory have been applied to many problems of science and technology and in other different fields. Quantum Information entropy plays a crucial role in stronger formulation of uncertainty relation. The quantum information entropy of some important potentials is discussed which are widely used in different fields. The information entropy of these potentials is studied in position as well as momentum space and uncertainty relations are verified.

D. A. M. Abo-Kahla, Mahmoud Abdel‐Aty

We consider quantum information entropy phenomenon for multi-qubit Rabi system. By introducing different measurements schemes, we establish the relation between information entropy approach and Von Neumann entropy. It is shown that the information entropy is more sensitive to the time development than the Von Neumann entropy. Furthermore, the suggested protocol exhibits excellent scaling of relevant characteristics, with respect to population dynamics, such that more accurate dynamical results may be obtained using information entropy due to variation of the frequency detuning and the coupling constant.

Ingemar Bengtsson, Karol Życzkowski