Quantal information entropies for atoms

The polynomials occurring in the wave functions of hydrogenic excited states are found to present difficulties for a straightforward analytical approach to the study of associated information entropies. A method is suggested to deal with them. It is then applied to calculate the information entropy for the Jacobi polynomial. A model calculation is presented to examine the effect of screening on the entropy sum. It is seen that the sum does not depend on the choice of screening.

HERBIVORY AND ASSEMBLAGE STRUCTURE OF MYRMECOPHYTOUS UNDERSTORY PLANTS AND THEIR ASSOCIATED ANTS IN THE CENTRAL AMAZON

The species combinations of myrmecophytic plants were compared in three different, neighboring local central Amazon forest sites. The proportional contribution of myrmecophytes in each setting varied significantly, with Maieta guainensis being the most abundant in each locality. This pattern resulted in low site similarity values. Other recorded species were Hirtella physophora, Tachigalia myrmecophila, Duroia sp., Tococa sp., and Cordia nodosa. Little variability was found with respect to associated ants that inhabited the myrmecophytes, and mutual entropies indicated a high degree of mutualistic interactions. However, for the majority of myrmecophytes, no differences in herbivore damage levels could be attributed to the presence of ants, with only M. guianensis and T. myrmecophila demonstrating significantly lower damages when inhabited by ants. Their respective ant associates, Pheidole minitula and Pseudomyrmex concolor, were thus the only plant-ants with a demonstrable ability to reduce the levels of herbivory in their host plant.

Squeezed states, generalized Hermite polynomials and pseudo-diffusion equation

We show that the wavefunctions 〈pq; λ|n〈, of the harmonic oscillator in the squeezed state representation, have the generalized Hermite polynomials as their natural orthogonal polynomials. These wavefunctions lead to generalized Poisson Distribution Pn(pq;λ), which satisfy an interesting pseudo-diffusion equation: ∂Pnp,q;λ) ∂λ= 1 4 [ ∂2 ∂p2-( 1 λ2) ∂2 ∂q2]P2(p,q;λ), in which the squeeze parameter λ plays the role of time. Th entropies Sn(λ) have minima at the unsqueezed states (λ=1), which means that squeezing or stretching decreases the correlation between momentum p and position q. © 1992.

Quantum entanglement and information: The effect of entropy revisited

In non-extensive statistical mechanics [14], it is a nonsense statement to say that the entropy of a system is extensive (or not), without mentioning a law of composition of its elements. In this theory quantum correlations might be perceived through quantum information process. This article, that is an extension of recent work [4], is a comparative study between the entropies of Von Neumann and of Tsallis, with some implementations of the effect of entropy in quantum entanglement, important as a process for transmission of quantum information. We consider two factorized (Fock number) states, which interact through a beam splitter bilinear Hamiltonian with two entries. This comparison showed us that the entropies of Tsallis and Von Neumann behave differently depending on the reflectance of the beam splitter. © 2011 Academic Publications.

Ensaios sobre computação e informação quânticas: fundamentação e simulações sobre o efeito da entropia

Pós-graduação em Ciência da Computação - IBILCE

Espaço de Hilbert e quantificação de emaranhamento via entropia não extensiva

Pós-graduação em Matemática - IBILCE

Exploring different approaches for music genre classification

In this letter, we present different approaches for music genre classification. The proposed techniques, which are composed of a feature extraction stage followed by a classification procedure, explore both the variations of parameters used as input and the classifier architecture. Tests were carried out with three styles of music, namely blues, classical, and lounge, which are considered informally by some musicians as being “big dividers” among music genres, showing the efficacy of the proposed algorithms and establishing a relationship between the relevance of each set of parameters for each music style and each classifier. In contrast to other works, entropies and fractal dimensions are the features adopted for the classifications.

Análise do efeito de entropia em computação quântica: simulações em ambiente paralelo

Pós-graduação em Ciência da Computação - IBILCE