Quantum Theory Based On Information And Entropy

Subhash C. Kak

Jincheng Zhang

This paper introduces Quantum Entanglement Entropy Information Theory (QEIH), a novel framework for quantifying and analyzing quantum information transmission based on the fundamental role of quantum entanglement. The core claim of QEIH is that entanglement entropy can serve as a new unit of information, surpassing the limitations of traditional information entropy (Shannon entropy) and offering a more precise measure of quantum information. We posit that entangled quantum systems can be viewed as distributed information sources and propose a method for calculating quantum information transmission efficiency and capacity using entanglement entropy. This approach establishes a new information theory framework specifically tailored to the unique properties of quantum mechanics. The key contribution lies in recognizing entanglement not merely as a correlation but as the foundational element driving information processing within quantum systems, ultimately leading to a more accurate and insightful understanding of quantum communication and computation. The presented framework offers a potential pathway to optimizing quantum information transfer and exploring novel information processing paradigms.

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.

Laura Felline

Siddharth Sharma

In this paper, I present a mathematical theory of Integrated Information Theory, using entropy as measure of information and hence, as the information distance function. Also, we will consider a set, whose open subsets are mechanisms and topology is the system, we use these two modification in the structure of Integrated Information Theory and Quantum Integrated Information theory, to define Entropic Integrated Information Theory, we will also justify our claims to use why entropy should be use as a measure of cause/effect information and as information distance function using [1]. We will also see the relationship of entanglement with concept and conceptual information. This paper is an attempt to binds consciousness, quantum information, entanglement and quantum mechanics together.