Quantum algorithms for connectivity and related problems

An important family of span programs, st-connectivity span programs, have been used to design quantum algorithms in various contexts, including a number of graph problems and formula evaluation problems. The complexity of the resulting algorithms depends on the largest positive witness size of any 1-input, and the largest negative witness size of any 0-input. Belovs and Reichardt first showed that the positive witness size is exactly characterized by the effective resistance of the input graph, but only rough upper bounds were known previously on the negative witness size. We show that the negative witness size in an st-connectivity span program is exactly characterized by the capacitance of the input graph. This gives a tight analysis for algorithms based on st-connectivity span programs on any set of inputs. We use this analysis to give a new quantum algorithm for estimating the capacitance of a graph. We also describe a new quantum algorithm for deciding if a graph is connected, which improves the previous best quantum algorithm for this problem if we're promised that either the graph has at least k > 1 components, or the graph is connected and has small average resistance, which is upper bounded by the diameter. We also give an alternative algorithm for deciding if a graph is connected that can be better than our first algorithm when the maximum degree is small. Finally, using ideas from our second connectivity algorithm, we give an algorithm for estimating the algebraic connectivity of a graph, the second largest eigenvalue of the Laplacian

An overview of quantum algorithms: From quantum supremacy to Shor factorization

Recently, a team of scientists from Google claims to have carried a computation on their noisy, intermediate-scale quantum (NISQ) computer which no regular computer can achieve. A feat that is sometimes referred as quantum supremacy. In the first part of this work, we explain their approach, their randomised circuit construction and the consequences of their work. Having achieved this milestone, the natural question becomes: what else can we do with a quantum computer? We answer this question in the second part of this work and give an overview of the most widely used quantum primitives. We will see how one can implement them using quantum circuits and how these primitive circuits are composed to create fast algorithms capable of solving commercially relevant problems like simulation of complicated quantum systems for chemistry and material science, Monte Carlo simulation, solving large systems of linear equations, or breaking widely used cryptography like RSA

In vitro studies: The role of immunological cells in Indonesian thin tail sheep in the killing of the liver fluke, Fasciola gigantica

Previous studies have shown that Indonesian Thin Tail (ET) sheep exhibit high resistance to challenge with Fasciola gigantica when compared with Merino sheep, and this resistance is expressed in early infection. In order to study the role of the immune system in this resistance to ET sheep, in vitro studies were undertaken in the laboratory. In vitro study to confirm the ability of immune cells from ET sheep in the killing of F. gigantica larvae has been done by incubating immune cells and F. gigantica larvae together with immune sera or normal sera. The viability of the larvae was observed over a period 3 days incubation by observing their motility. The results showed that the cells isolated from F. gigantica- challenged ET sheep in the presence of immune sera from ET were able to kill 70% of the larvae. In contrast, cells from infected Merino were unable to kill a significant number of F. gigantica using the same sera source. It seems that the cytotoxicity was dependent on the presence of immune sera and ET peritoneal cells, suggesting the potential role of an antibody-dependent cell cytotoxic (ADCC) mechanism in the resistant ET sheep.Key words: In vitro, Fasciola gigantica, peritoneal cell, sheep gigantica

The effect of the liver fluke Fasciola gigantica infestation on the leucocyte eosinophil cell profile on sheep

Eosinophil is one of the major leucocyte cell in the blood which specifically reacted on parasite infection, thus it is important to determine its profile against the F. gigantica infection. The aims of this study is to determine the differences of the eosinophil count profiles on the different breed of sheep infected with F. gigantica and its relation with the resistance of sheep bred against parasitic disease. Four groups of sheep consist of Indonesian Thin Tail (ITT) sheep, Merino sheep, backcross sheep (10 families) and F2 sheep were infected with 300 metacercariae of Fasciola gigantica. The total sheep used in this trial is 621. Those sheep were observed for 12 weeks and the blood samples were collected every 2 weeks after infection. The results showed that total eosinophil counts in all infected sheep increased after two weeks post infection and ITT sheep showed the highest counts. On the other hand, the mean fluke counts on ITT sheep is the lowest compared with the other groups of sheep. Merino and F2 sheep had the highest mean fluke counts. Three families of backcross sheep had the mean flukes count similar to ITT sheep and the other 7 families were similar to the Merino sheep. In conclusion, the highest total eosinophil count at the early stage of infection on ITT sheep might be related with the genetic resistance, which was showed by the lowest flukes count, and the resistance was inherited to some of the backcross sheep, which had similar flukes count with ITT sheep.   Key words: Fasciola gigantica, eosinophil, shee

The responses of eosinophil and packed cell volume (PCV) on sheep infected with Fasciola gigantica

The responses of eosinophil and packed cell volume (PCV) values were verified in infected sheep, in order to identify whether these parameters could be used to predict the flukes burden and their correlation with breed resistance. Fifteen Indonesian thin tail sheep (ET), 9 Merino sheep and 148 backcross sheep generated from mating of Merino sheep and F1 sheep (Merino X ET cross) were infected with 300 metacercariae of Fasciola gigantica. The blood samples were collected every 2 weeks by using EDTA venoject tubes in order to determine the amount of eosinophils and the PCV value. After 14 weeks of infection all of sheep were killed and the liver was collected in order to determine the number of flukes. The results showed that the amount of eosinophils increased 2 weeks after infection and reached the peak at week 4 after infection. The average of eosinophils in ET appeared higher than the other 2 breeds (Merino was the lowest and the backcross was in between). The correlation between the number of flukes recovered from the liver and the eosinophil counts were positive in ET and Merino, but negative in the backcross sheep. The PCV values remained constant along the trial, except at week 14 after infection; the PCV values were slightly decreased in backcross sheep and Merino sheep, but not in ET sheep. The correlation between number of flukes in the liver and the PCV values were negative in all breeds of sheep. These results suggested that the eosinophilic and PCV’s response of ET were higher compared to backcross and Merino sheep, thus that responses were thought to be associated with the resistant phenomenon.   Key words: Fasciolosis, eosinophil, PCV, shee

Span programs and quantum time complexity

Span programs are an important model of quantum computation due to their correspondence with quantum query and space complexity. While the query complexity of quantum algorithms obtained from span programs is well-understood, it is not generally clear how to implement certain query-independent operations in a time-efficient manner. In this work, we prove an analogous connection for quantum time complexity. In particular, we show how to convert a sufficiently-structured quantum algorithm for f with time complexity T into a span program for f such that it compiles back into a quantum algorithm for f with time complexity Õ(T). This shows that for span programs derived from algorithms with a time-efficient implementation, we can preserve the time efficiency when implementing the span program, which means that span programs capture time, query and space complexities and are a complete model of quantum algorithms. One practical advantage of being able to convert quantum algorithms to span programs in a way that preserves time complexity is that span programs compose very nicely. We demonstrate this by improving Ambainis's variable-time quantum search result using our construction through a span program composition for the OR function

Consideraciones sobre la denominación de los electrodos para señales bioeléctricas externas

Postprint (author’s final draft

Carcass conformation and fat cover scores in beef cattle: A comparison of threshold linear models vs grouped data models

Background: Beef carcass conformation and fat cover scores are measured by subjective grading performed by trained technicians. The discrete nature of these scores is taken into account in genetic evaluations using a threshold model, which assumes an underlying continuous distribution called liability that can be modelled by different methods. Methods: Five threshold models were compared in this study: three threshold linear models, one including slaughterhouse and sex effects, along with other systematic effects, with homogeneous thresholds and two extensions with heterogeneous thresholds that vary across slaughterhouses and across slaughterhouse and sex and a generalised linear model with reverse extreme value errors. For this last model, the underlying variable followed a Weibull distribution and was both a log-linear model and a grouped data model. The fifth model was an extension of grouped data models with score-dependent effects in order to allow for heterogeneous thresholds that vary across slaughterhouse and sex. Goodness-of-fit of these models was tested using the bootstrap methodology. Field data included 2,539 carcasses of the Bruna dels Pirineus beef cattle breed. Results: Differences in carcass conformation and fat cover scores among slaughterhouses could not be totally captured by a systematic slaughterhouse effect, as fitted in the threshold linear model with homogeneous thresholds, and different thresholds per slaughterhouse were estimated using a slaughterhouse-specific threshold model. This model fixed most of the deficiencies when stratification by slaughterhouse was done, but it still failed to correctly fit frequencies stratified by sex, especially for fat cover, as 5 of the 8 current percentages were not included within the bootstrap interval. This indicates that scoring varied with sex and a specific sex per slaughterhouse threshold linear model should be used in order to guarantee the goodness-of-fit of the genetic evaluation model. This was also observed in grouped data models that avoided fitting deficiencies when slaughterhouse and sex effects were score-dependent. Conclusions: Both threshold linear models and grouped data models can guarantee the goodness-of-fit of the genetic evaluation for carcass conformation and fat cover, but our results highlight the need for specific thresholds by sex and slaughterhouse in order to avoid fitting deficiencies

The origin of large molecules in primordial autocatalytic reaction networks

Large molecules such as proteins and nucleic acids are crucial for life, yet their primordial origin remains a major puzzle. The production of large molecules, as we know it today, requires good catalysts, and the only good catalysts we know that can accomplish this task consist of large molecules. Thus the origin of large molecules is a chicken and egg problem in chemistry. Here we present a mechanism, based on autocatalytic sets (ACSs), that is a possible solution to this problem. We discuss a mathematical model describing the population dynamics of molecules in a stylized but prebiotically plausible chemistry. Large molecules can be produced in this chemistry by the coalescing of smaller ones, with the smallest molecules, the `food set', being buffered. Some of the reactions can be catalyzed by molecules within the chemistry with varying catalytic strengths. Normally the concentrations of large molecules in such a scenario are very small, diminishing exponentially with their size. ACSs, if present in the catalytic network, can focus the resources of the system into a sparse set of molecules. ACSs can produce a bistability in the population dynamics and, in particular, steady states wherein the ACS molecules dominate the population. However to reach these steady states from initial conditions that contain only the food set typically requires very large catalytic strengths, growing exponentially with the size of the catalyst molecule. We present a solution to this problem by studying `nested ACSs', a structure in which a small ACS is connected to a larger one and reinforces it. We show that when the network contains a cascade of nested ACSs with the catalytic strengths of molecules increasing gradually with their size (e.g., as a power law), a sparse subset of molecules including some very large molecules can come to dominate the system.Comment: 49 pages, 17 figures including supporting informatio

Calidad de carne de 7 razas españolas de ganado bovino vinculadas a su sistema de producción

En España, de modo general, el consumidor de carne de vacuno le da poca importancia a la raza en comparación con otros países Europeos, a pesar de que la misma influye en otras características que sí considera relevantes como el aspecto (color, grasa intramuscular) o la terneza. Las razas bovinas rústicas y locales españolas están ligadas a una región geográfica particular y a un sistema de erra tradicional, donde varios factores como la edad y peso al sacrificio, el sexo, el grado de engrasamiento, el manejo, la alimentación y el tratamiento post-sacrificio intervienen conjuntamente en la definición de cada producto. Estos productos suelen promocionarse a través de denominaciones de origen o marcas de calidad que, por otro lado, permiten al consumidor reducir la incertidumbre cuando compran alimentos, ya que están asociadas a ciertas características sensoriales y/o procesos productivos distintivos. Algunos autores han descrito la calidad de canal (Piedraflta et al., 2003) y las características bioquímicas (Gil et al., 2001) y sensoriales (Serra et al., 2008) de varias razas españolas vinculadas al sistema de producción, de modo que este trabajo se centra en la textura de la carne evaluada instrumentalmente y en algunas de sus características químicas. En: https://calidadcarnecita.wordpress.com/2016/02/12/calidad-de-la-carne-de-7-razas-espanolas-vinculadas-a-sus-sistema-de-produccion