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final program.qxd - Parallels Plesk Panel

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PP 1.33<br />

Model based on a quantum algorithm for the study of HIV<br />

Alejandro León Julio Pozo<br />

Universidad Diego Portales Santiago Chile<br />

In this work we develop a model based on quantum algorithms to study the evolution of<br />

an epidemic. We apply the model to study the development of the HIV, to do predictions<br />

of infection in the population who does not have knowledge of the condition of infection.<br />

The model uses the analogy that exists between the quantum systems and the individuals<br />

in a population who suffers an epidemic. We represent the individuals for quantum<br />

systems of two levels (quantum bit) and the interactions between these individuals (who<br />

cause the infection) are represented by unitary transformations, and we divide the<br />

population who is studied in categories (in agreement to his behavior) and simulate the<br />

interaction between the individuals of the same category and between individuals of<br />

different categories. Our intention is to show results of the number of infected depending<br />

on the time for every category and for the total population, besides we analyze the impact<br />

in the evolution of the epidemic due to the interaction without the knowledge of the<br />

condition of infection on the part of the individuals.<br />

“ Focusing FIRST on PEOPLE “ 118 w w w . i s h e i d . c o m

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