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Information Theory
The basic concepts of information theory are presented. These are all based on a probabilistic description of the system that is observed and...
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Geometric Information Theory
In the context of patterns or images, information theory serves as a valuable tool for identifying the length scales and positions where information...
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Physics and Information Theory
This chapter starts with a short introduction of some basic thermodynamic concepts and laws. This is followed by an example involving the mixing of...
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Quantum Information Theory
In the last years, a considerable amount of theoretical and experimental studies have been focussing on the impact that quantum mechanics may have on...
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Information Theory for Lattice Systems
The fundamental concepts of information theory, entropy and relative information, can be used to analyse symbol sequences. In such an analysis, the...
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Information Theory of Complex Systems
What do we mean, when we say that a given system shows “complex behavior”, can we provide precise measures for the degree of complexity? This chapter...
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Weighted p-Rényi Entropy Power Inequality: Information Theory to Quantum Shannon Theory
We study the p -Rényi entropy power inequality with a weight factor t on two independent continuous random variables X and Y . The extension...
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Quantum information scrambling and quantum chaos in little string theory
In the current manuscript we perform a systematic investigation about the effects of nonlocal interaction to the spread of quantum information in...
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Quantum Information Theory
This chapter starts by introducing the notion of entropy, first classical and then quantum entropies. The entropy quantifies information and is the...
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Holevo information and ensemble theory of gravity
Holevo information is an upper bound for the accessible classical information of an ensemble of quantum states. In this work, we use Holevo...
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Rényi mutual information in quantum field theory, tensor networks, and gravity
We explore a large class of correlation measures called the α − z Rényi mutual informations (RMIs). Unlike the commonly used notion of RMI involving...
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Information Theory for Complex Systems An Information Perspective on Complexity in Dynamical Systems and Statistical Mechanics
This book introduces a comprehensive framework tailored for dissecting complex systems across diverse disciplines. What defines a complex system? How...
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Investigation of quantum information theory with the screened modified Kratzer and a class of Yukawa potential model
In this research, the screened modified Kratzer potential plus class of Yukawa potential with the Schrodinger equation is solved using the...
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Quantifying the information distribution of quantum information masking
Quantum information masking encodes an arbitrary quantum state into a multipartite system such that the original information of input states is...
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Thermal properties and quantum information theory with the shifted Morse potential
By employing the Nikiforov–Uvarov functional analysis (NUFA) method, we solved the radial Schrödinger equation with the shifted Morse potential...
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Information metric on the boundary
The information metric on the space of boundary coupling constants in two-dimensional conformal field theories is studied. Such a metric is related...
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Space-time generalization of mutual information
The mutual information characterizes correlations between spatially separated regions of a system. Yet, in experiments we often measure dynamical...
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Holography of information in AdS/CFT
The principle of the holography of information states that in a theory of quantum gravity a copy of all the information available on a Cauchy slice...
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Variations in the Value of Integrated Information Theory Estimated from Hippocampal Neural Activity During Acquisition of Operant Behavior in Rats
Abstract —One of the approaches to quantifying the complexity of systems is integrated information theory, as a mathematically complicated measure of...
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Information Theory of Complex Networks: On Evolution and Architectural Constraints
Complex networks are characterized by highly heterogeneous distributions of links, often pervading the presence of key properties such as robustness...