An elementary introduction into algebraic approach to unified quantum information theory and operational approach to quantum entan-glement as generalized encoding is given. After introducing compound quantum state and two types of informational divergences, namely, Araki-Umegaki (a-type) and of Belavkin-Staszewski (b-type) quantum relative entropic information, this paper treats two types of qu...

This paper presents an informational functional that can be used to characterise the entropy of a graph or network structure, using closed random walks and cycles. The work commences from Dehmer’s information functional, that characterises networks at the vertex level, and extends this to structures which capture the correlation of vertices, using walk and cycle structures. The resulting entrop...

The act of measuring a system has profound consequences dynamical and thermodynamic nature. In particular, the degree irreversibility ensuing from non-equilibrium process is strongly affected by measurements aimed at acquiring information on state interest: conditional unconditional entropy production, which quantify open system's dynamics, are related to each other clearly interpreted informat...

Following the idea that information is the negative entropy, we propose that the information and entropy of an isolated system can convert into each other while the sum of them is an invariant for any physical process. The holographic principle is then reformulated in the way that this invariant is bounded by the Bekenstein-Hawking entropy of the system. It is found that Heisenberg’s uncertaint...

The objective of this work is to assess informational efficiency in four US markets for implied volatility. This has been pursued using daily data over 2015 2021 and a composite index that accounts three possible sources inefficiency associated with long-range dependence, short-range entropy. dominant pattern dependence anti-persistence both before during the pandemic. same applies especially p...

Chemical and biochemical reactions are carried out either to generate energy or produce useful macromolecules. Entropy is a well-applied concept in many fields, including physics, chemistry, biology, medicine. Various perspectives have been used describe the concept, creating confusion misconceptions. In chemical reactions, entropy plays significant role directionality spontaneity of reactions....

In this study a modified entropy-based measure is presented for evaluating the serviceability level of water distribution networks in which the hydraulic uncertainties (flow rates in pipes) as well as the uncertainties due to mechanical parameters (failure probabilities of links) are considered simultaneously. In the proposed entropy calculation method, the connectivity order of the network dem...

In this paper it is shown that statistical mechanics in the form of thermodynamic entropy can be used as a measure of the severity of individual injuries (AIS), and that the correct way to account for multiple injuries is to sum the entropies. It is further shown that summing entropies according to the Planck-Boltzmann (P-B) definition of entropy is formally the same as ISS, which is why ISS wo...

We investigate stochastic resonance in the framework of information theory. Input signals are taken from an electronic circuit and output signals are produced by a Schmitt trigger. These electronic signals are analyzed with respect to their informational contents. Conditional entropies and Kullback measures exhibit extrema for values of noise intensity in the range of stochastic resonance. Howe...

A framework for a quantum mechanical information theory is introduced that is based entirely on density operators, and gives rise to a unified description of classical correlation and quantum entanglement. Unlike in classical (Shannon) information theory, quantum (von Neumann) conditional entropies can be negative when considering quantum entangled systems, a fact related to quantum nonseparabi...