Universal state inversion and concurrence in arbitrary dimensions

Wootters [Phys. Rev. Lett. 80, 2245 (1998)] has given an explicit formula for the entanglement of formation of two qubits in terms of what he calls the concurrence of the joint density operator. Wootters's concurrence is defined with the help of the superoperator that flips the spin of a qubit. We generalize the spin-flip superoperator to a universal inverter, which acts on quantum systems of arbitrary dimension, and we introduce the corresponding generalized concurrence for joint pure states of D-1 X D-2 bipartite quantum systems. We call this generalized concurrence the I concurrence to emphasize its relation to the universal inverter. The universal inverter, which is a positive, but not completely positive superoperator, is closely related to the completely positive universal-NOT superoperator, the quantum analogue of a classical NOT gate. We present a physical realization of the universal-NOT Superoperator.

Post-antibiotic growth suppression of linezolid against Gram-positive bacteria

The in vitro post-antibiotic effects (PAEs) of eight different concentrations of linezolid against Gram-positive cocci were investigated and the results analysed using the sigmoid E-max model for mathematically modelling the PAE. Mean maximal linezolid PAEs against strains of Staphylococcus aureus, Staphylococcus epidermidis, Enterococcus faecalis, Enterococcus faecium and Streptococcus pneumoniae were 2.2, 1.8, 2.8, 2.0 and 3.0 h, respectively. Resistance to methicillin (for the staphylococci), vancomycin (for the enterococci) and penicillin (for the pneumococci) had no effect on the duration of the PAE. Results of PAE testing support twice-daily dosing of linezolid in humans.

Positive-P and Wigner representations for quantum-optical systems with nonorthogonal modes

We generalize the basic concepts of the positive-P and Wigner representations to unstable quantum-optical systems that are based on nonorthogonal quasimodes. This lays the foundation for a quantum description of such systems, such as, for example an unstable cavity laser. We compare both representations by calculating the tunneling times for an unstable resonator optical parametric oscillator.

Positive genetic correlation between female preference and offspring fitness

In many species, females display preferences for extreme male signal traits, but it has not been determined if such preferences evolve as a consequence of females gaining genetic benefits from exercising choice. If females prefer extreme male traits because they indicate male genetic quality that will enhance the fitness of offspring, a genetic correlation will evolve between female preference genes and genes that confer offspring fitness. We show that females of Drosophila serrata prefer extreme male cuticular hydrocarbon (CHC) blends, and that this preference affects offspring fitness. Female preference is positively genetically correlated with offspring fitness, indicating that females have gained genetic benefits from their choice of males. Despite male CHCs experiencing strong sexual selection, the genes underlying attractive CHCs also conferred lower offspring fitness, suggesting a balance between sexual selection and natural selection may have been reached in this population.

On positive solutions of nonlinear elliptic equations involving concave and critical nonlinearities

We study the existence of nonnegative solutions of elliptic equations involving concave and critical Sobolev nonlinearities. Applying various variational principles we obtain the existence of at least two nonnegative solutions.

Empirical evidence for ultrametric structure in multi-layer perceptron error surfaces

Combinatorial optimization problems share an interesting property with spin glass systems in that their state spaces can exhibit ultrametric structure. We use sampling methods to analyse the error surfaces of feedforward multi-layer perceptron neural networks learning encoder problems. The third order statistics of these points of attraction are examined and found to be arranged in a highly ultrametric way. This is a unique result for a finite, continuous parameter space. The implications of this result are discussed.

The impact of genotyping error on haplotype reconstruction and frequency estimation

The choice of genotyping families vs unrelated individuals is a critical factor in any large-scale linkage disequilibrium (LD) study. The use of unrelated individuals for such studies is promising, but in contrast to family designs, unrelated samples do not facilitate detection of genotyping errors, which have been shown to be of great importance for LD and linkage studies and may be even more important in genotyping collaborations across laboratories. Here we employ some of the most commonly-used analysis methods to examine the relative accuracy of haplotype estimation using families vs unrelateds in the presence of genotyping error. The results suggest that even slight amounts of genotyping error can significantly decrease haplotype frequency and reconstruction accuracy, that the ability to detect such errors in large families is essential when the number/complexity of haplotypes is high (low LD/common alleles). In contrast, in situations of low haplotype complexity (high LD and/or many rare alleles) unrelated individuals offer such a high degree of accuracy that there is little reason for less efficient family designs. Moreover, parent-child trios, which comprise the most popular family design and the most efficient in terms of the number of founder chromosomes per genotype but which contain little information for error detection, offer little or no gain over unrelated samples in nearly all cases, and thus do not seem a useful sampling compromise between unrelated individuals and large families. The implications of these results are discussed in the context of large-scale LD mapping projects such as the proposed genome-wide haplotype map.

The development of a positive non-infectious control for the detection of Perkinsus using the Ray test

To establish a noncontagious control for the Ray thioglycollate test for the detection of Perkinsus in mollusks we evaluated nonviable stages of P. olseni for enlargement of hypnospores and blue/black iodine stain. Trophozoites made nonviable with formalin, irradiation or colchicine failed to swell in thioglycollate. They remained small and did not differentially stain in iodine. Trophozoites that had already developed into hypnospores in thioglycollate were rendered inactive by freezing, ethanol or formalin immersion. They retained their iodinophilic properties and thus could provide a partial control for the Ray Test.

The impact of positive peritoneal washings and serosal and adnexal involvement on survival in patients with stage IIIA uterine cancer

Objective. The aim of this study was to determine the prognostic significance of serosal involvement (SER), adnexal involvement (ADN), and positive peritoneal washings (PPW) in patients with Stage IIIA uterine cancer. We also sought to determine patterns of recurrence in patients with this disease. Methods. The records of 136 patients with Stage IIIA uterine cancer treated at the Queensland Centre for Gynecological Cancer between March 1983 and August 2001 were reviewed. One hundred thirty-six patients underwent surgery and 58 (42.6%) had full surgical staging. Seventy-five patients (55.2%) had external beam radiotherapy and/or brachytherapy postoperatively. Overall survival was the primary statistical endpoint. Statistical analysis included univariate and multivariate Cox models. Results. Forty-six patients (33.8%) had adnexal involvement, 23 (16.9%) had serosal involvement, and 40 (29.4%) had positive peritoneal washings. Median follow-up was 55.1 months (95% confidence interval, 36.9 to 73.4 months) after which time 71 patients (52.2%) remained alive. For patients with endometrioid adenocarcinoma, ADN and SER were associated with impaired survival on multivariate analysis (odds ratio 2.8 and 3.2, respectively). In the subgroup of patients with high-risk tumors (including papillary serous carcinomas, clear cell carcinomas, and uterine sarcomas), neither ADN, nor SER, nor PPW influenced survival. Conclusion. Patients with Stage IIIA uterine cancer constitute a heterogeneous group. For patients with endometrioid adenocarcinoma, both ADN and SER, but not PPW, were associated with impaired prognosis. For patients with high-risk histological types, prognosis is poor for all three factors. (C) 2002 Elsevier Science (USA).

On the overabundance of light rare earth elements in terrestrial zircons and its implication for Earth's earliest magmatic differentiation

We present whole-rock and zircon rare earth element (REE) data from two early Archaean gneisses (3.81 Ga and 3.64 Ga) from the Itsaq gneiss complex, south-west Greenland. Both gneisses represent extremely rare examples of unaltered, fresh and relatively undeformed igneous rocks of such antiquity. Cathodoluminescence imaging of their zircons indicates a single crystallisation episode with no evidence for either later metamorphic and/or anatectic reworking or inheritance of earlier grains. Uniform, single-population U/Pb age data confirm the structural simplicity of these zircons. One sample, a 3.64 Ga granodioritic gneiss from the Gothabsfjord, yields a chondrite-normalised REE pattern with a positive slope from La to Lu as well as substantial positive Ce and slight negative Eu anomalies, features generally considered to be typical of igneous zircon. In contrast, the second sample, a 3.81 Ga tonalite from south of the Isua Greenstone Belt, has variable but generally much higher light REE abundances, with similar middle to heavy REE. Calculation of zircon/melt distribution coefficients (D-REE(zircon/melt)) from each sample yields markedly different values for the trivalent REE (i.e. Ce and Eu omitted) and simple application of one set of D-REE(zircon/melt) to model the melt composition for the other sample yields concentrations that are in error by up to two orders of magnitude for the light REE (La-Nd). The observed light REE overabundance in the 3.81 Ga tonalite is a commonly observed feature in terrestrial zircons for which a number of explanations ranging from lattice strain to disequilibrium crystallisation have been proposed and are further investigated herein. Regardless of the cause of light REE overabundance, our study shows that simple application of zircon/melt distribution coefficients is not an unambiguous method for ascertaining original melt composition. In this context, recent studies that use REE data to claim that > 4.3 Ga Hadean detrital zircons originally crystallised from an evolved magma, in turn suggesting the operation of geological processes in the early Earth analogous to those of the present day (e.g. subduction and melting of hydrated oceanic crust), must be regarded with caution. Indeed, comparison of terrestrial Hadean and > 3.9 Ga lunar highland zircons shows remarkable similarities in the light REE, even though subduction processes that have been used to explain the terrestrial zircons have never operated on the Moon. (C) 2002 Elsevier Science B.V. All rights reserved.

Increased TUNEL positive cells in human alcoholic brains

Alcohol-sensitive neuronal cell loss, which has been reported in the superior frontal cortex and hippocampus, may underlie the pathogenesis of subsequent cognitive deficits. In the present study, we have used the TUNEL labeling to detect the DNA damage in human alcoholic brains. Seven out of eleven alcoholics exhibited TUNEL-positive cells in both superior frontal cortex and hippocampus, which were co-localized with GFAP immunoreactivity. In contrast, almost no positive cells were detected in the non-alcoholic controls. None of the TUNEL-positive cells showed any typical morphological features of apoptosis or necrosis. TUNEL-positive cells observed in the present study may indicate DNA damage induced by ethanol-related overproduction of reactive oxygen species. (C) 2003 Elsevier Ireland Ltd. All rights reserved.

Inhibition of early tumor growth requires Jα18-positive (natural killer T) cells

The role of natural killer T (NKT) cells in the immune response to tumor cells has been largely unexplored. As a model of adoptive tumor immunotherapy, cells from the draining lymph nodes of mice immunized with a tumor-specific or irrelevant antigen were transferred to naive recipients with established tumor. Inhibition of early tumor growth (day 4) required the transfer of both CD8(+) and Jalpha18(+) (NKT) cells from immunized animals without regard to immunogen. In contrast, CD8(+) cells, but not Jalpha18(+) cells, were necessary for the inhibition of late tumor growth (day 8). Thus, the developing tumor changes in sensitivity to NKT-mediated events and the role for NKT cells cannot be replaced by the presence of tumor-specific cells during early tumor growth. This suggests that recruitment/activation of Jalpha18(+) NKT cells is an important consideration during the immune therapy of early stage tumors.

Aglomeração econômica e disparidade salarial no Espírito Santo : teoria e evidência a partir de um enfoque da Nova Geografia Econômica

O trabalho buscou analisar questões de desigualdade regional no Espírito Santo através da linha de pesquisa denominada Nova Geografia Econômica (NGE). Uma forma de realizar essa análise é através do estudo da relação entre diferenciais de salário e mercado potencial. Mais precisamente, o trabalho procurou verificar o impacto de fatores geográficos de segunda natureza – mercado potencial – nos salário médios municipais. Inicialmente, por meio de uma Análise Exploratória de Dados Espaciais, verificou-se que os salários são maiores próximos às regiões com alto mercado potencial (litoral/RMGV). Por meio da utilização de técnicas de estatística e econometria espacial foi possível observar para os anos de 2000 e 2010 a existência de uma estrutura espacial de salários no Espírito Santo. O coeficiente de erro autorregressivo foi positivo e estatisticamente significativo, indicando o modelo SEM (spatial error model) como o mais apropriado para modelar os efeitos espaciais. Os resultados indicam ainda que não só fatores educacionais afetam os salários, fatores geográficos de segunda natureza possuem um efeito até maior quando comparados aos primeiros. Conclui-se, como demonstra o modelo central da NGE que, forças exclusivamente de mercado nem sempre levam ao equilíbrio equalizador dos rendimentos, pelo contrário, levam à conformação de uma estrutura do tipo centro-periferia com diferença persistente de rendimentos entre as regiões. Adicionalmente, verifica-se que os municípios que apresentam maior salário, maior mercado potencial e melhores indicadores sociais são àqueles localizados no litoral do estado, mais precisamente os municípios próximos à RMGV. Sendo assim, o trabalho reforça a necessidade de que se pense estratégias que fomentem a criação de novas centralidades no Espírito Santo, a fim de atuar na redução das desigualdades regionais. O trabalho se insere num grupo de vários outros estudos que analisaram questões de desigualdade e concentração produtiva no Espírito Santo. A contribuição está na utilização do referencial teórico da NGE, que ainda não havia sido empregada para o estado, e na utilização de técnicas de estatística espacial e econometria espacial.