Quantum critical dynamics in a 5,000-qubit programmable spin glass.

Experiments on disordered alloys1-3 suggest that spin glasses can be brought into low-energy states faster by annealing quantum fluctuations than by conventional thermal annealing. Owing to the importance of spin glasses as a paradigmatic computational testbed, reproducing this phenomenon in a programmable system has remained a central challenge in quantum optimization4-13. Here we achieve this goal by realizing quantum-critical spin-glass dynamics on thousands of qubits with a superconducting quantum annealer. We first demonstrate quantitative agreement between quantum annealing and time evolution of the Schrödinger equation in small spin glasses. We then measure dynamics in three-dimensional spin glasses on thousands of qubits, for which classical simulation of many-body quantum dynamics is intractable. We extract critical exponents that clearly distinguish quantum annealing from the slower stochastic dynamics of analogous Monte Carlo algorithms, providing both theoretical and experimental support for large-scale quantum simulation and a scaling advantage in energy optimization.

Observation of topological phenomena in a programmable lattice of 1,800 qubits.

The work of Berezinskii, Kosterlitz and Thouless in the 1970s1,2 revealed exotic phases of matter governed by the topological properties of low-dimensional materials such as thin films of superfluids and superconductors. A hallmark of this phenomenon is the appearance and interaction of vortices and antivortices in an angular degree of freedom-typified by the classical XY model-owing to thermal fluctuations. In the two-dimensional Ising model this angular degree of freedom is absent in the classical case, but with the addition of a transverse field it can emerge from the interplay between frustration and quantum fluctuations. Consequently, a Kosterlitz-Thouless phase transition has been predicted in the quantum system-the two-dimensional transverse-field Ising model-by theory and simulation3-5. Here we demonstrate a large-scale quantum simulation of this phenomenon in a network of 1,800 in situ programmable superconducting niobium flux qubits whose pairwise couplings are arranged in a fully frustrated square-octagonal lattice. Essential to the critical behaviour, we observe the emergence of a complex order parameter with continuous rotational symmetry, and the onset of quasi-long-range order as the system approaches a critical temperature. We describe and use a simple approach to statistical estimation with an annealing-based quantum processor that performs Monte Carlo sampling in a chain of reverse quantum annealing protocols. Observations are consistent with classical simulations across a range of Hamiltonian parameters. We anticipate that our approach of using a quantum processor as a programmable magnetic lattice will find widespread use in the simulation and development of exotic materials.

Genetic and demographic aspects of Varronia curassavica Jacq. in a heterogeneous coastal ecosystem.

The restinga is a threatened Brazilian ecosystem and a highly heterogeneous environment. This work aimed to evaluate demographic and genetic aspects of Varronia curassavica and whether environmental heterogeneity can influence the studied population parameters. Three annual evaluations were carried out in an area of restinga in Florianópolis-SC, Brazil. Demographic data were analyzed using descriptive statistics, and the spatial distribution pattern was calculated by Ripley's K-function and correlated with environmental characteristics. To characterize diversity and genetic structure, eight microsatellite markers were used. This work demonstrated that variations in the distribution of individuals and genotypes can be related to specific environments. Dry lowlands were environments favorable to population development, and flooded lowland and mobile dunes were unfavorable. The fixation indices were distinct between environments, evidencing a tendency toward preferential crosses in favor of heterozygotes. We found absence of spatial genetic structure, indicating that genotypes are randomly distributed and that gene flow may be related to such genetic factors as the presence of autoincompatibility mechanisms. This diversity of environments contributed to the aggregate distribution and is relevant for the maintenance of demographic and genetic processes of the species in restingas, and this aspect should be considered for in situ conservation.

Consumption of Euterpe edulis fruit by wildlife: implications for conservation and management of the Southern Brazilian Atlantic Forest.

This study aimed to measure the wildlife consumption of Euterpe edulis fruit and use this data to discuss management possibilities. To estimate infructescence fruit volume consumed, collectors were installed in fruit-bearing palms. To characterize consumption from the ground, samples were placed next to fruiting palms. To identify wildlife and their activities, camera traps were installed in infructescences and on the ground. The results suggested that there was a small fruit surplus (1.8 %), and this finding indicated the possibility of a harvest to reduce food for the wildlife. However, recurrent variations in the annual fruit production (21.4 %) were also noted, and suggested that wildlife could tolerate some fruit harvesting. Thus, a harvest could be restricted to fruit volume that exceeds the annual average (94 kg/ha/year). Turdus flavipes, a migratory bird, was the most active species in the dispersal of seeds; this finding indicates the need for broader conservation strategies. Wildlife composition also changed along with the fruiting, and this alteration suggests that dependence on the fruit is variable among different species. Seed germination and seedling mortality were high, results that indicate that local conditions may have a predominant effect on seed volume in natural regeneration density.

Reproductive Biology of Varronia curassavica Jacq. (Boraginaceae).

Varronia curassavica, a subshrubby medicinal species associated with restinga in the Atlantic Forest, has been exploited by local people and the pharmaceutical industry. Indeed, restingas have experienced a continuous process of degradation, and thus, with species and ecosystem both at risk, efforts to support conservation actions are required. The present study aimed to evaluate aspects of V. curassavica reproductive biology. To accomplish this, morphological characterization was performed by monitoring flowering events. The availability of nectar and pollen, as well as the frequency and behavior of floral visitors and dispersers, was also evaluated. This species exhibits both heterostyly and protogyny. Anthesis is diurnal, and flowers last less than a day. The high number of flower and fruit abortions suggests that mechanisms, such as self-incompatibility intra-morphs and easily detached flowers, contribute to reduced fruit production. The high diversity of floral visitors indicate a generalist pollination syndrome. Diptera, Hymenoptera and Lepidoptera were the main pollinators, and nectar was the main resource sought by these insects. Fruits were dispersed by birds and ants. It can be concluded that the interaction of V. curassavica with several species is a key factor in its own survival and for maintaining the biological diversity of restinga.

Genetic Diversity and Population Structure of Varronia curassavica: A Medicinal Polyploid Species in a Threatened Ecosystem.

Varronia curassavica is an important medicinal species associated with the restinga, one of the most threatened coastal ecosystems of the Atlantic Forest. These circumstances call for studies aimed at estimating effective population size and gene flow to improve conservation efforts. Hence, the present study aimed to characterize the genetic diversity, ploidy level, and population structure of this species in different areas of restinga using microsatellites. Varronia curassavica was characterized as an autotetraploid, with high genetic variability, low divergence, and no significant fixation indices, indicating the absence of, or reduced, inbreeding and genetic drift in the study area. About 44% of the alleles occurred at low frequency in adults of all populations and 41% in the progenies evaluated. Gene flow was high, consistent with outcrossing species with high dispersal capacity (Nm = 4.87). The results showed no tendency toward isolation by distance. The estimated effective size indicates that the populations studied have the potential to ensure conservation of the species in the long term. The genetic variability and population structure of V. curassavica, as determined in this study, could form the foundation for activities directed toward the sustainable use of this resource and its conservation. Even though the restinga ecosystem has suffered dramatic reductions in area, this study provides evidence that this species is resilient to anthropogenic threats to its genetic integrity, since it is a polyploid with self-incompatibility mechanisms that contribute to maintaining high genetic diversity in an panmictic meta-population along the coast of Santa Catarina.

Reproductive Strategy of the Polyploid Species Varronia curassavica Jacq. in Restinga Environment.

This study aimed to elucidate the breeding strategies of Varronia curassavica, an important medicinal species associated with Brazilian restinga. This was accomplished by combining phenological and genetic data. Every 2 weeks over a period of 2 years, we measured flowering and fruiting phenology to evaluate the activity and intensity of phenophases (n = 60). We evaluated the mating system, pollen ovule ratio and genotypes from progeny and mother plants using 8 nuclear microsatellite loci. We observed flowering and fruiting of V. curassavica at low intensity throughout the entire year, but with 2 distinct peaks, one of which was seasonal, corresponding to the period of gradual increase of temperature and photoperiod. Overlapping of flowering and fruiting strategies favors gene flow among different groups of individuals and between populations by attraction of fauna throughout the year. Analysis of the mating system indicates that V. curassavica is a typical outcrossed species (t^ = 0.98; pollen/ovule ratio = 7087.50). Combining phenology with genetic studies improved our understanding of the reproductive strategies of this species. The typical outcrossing system of V. curassavica reflects the existence of functional self-incompatibility mechanisms still unaffected by changes in genetic balance by polyploidy.

Mating System and Genetic Structure Across All Known Populations of Dyckia brevifolia: A Clonal, Endemic, and Endangered Rheophyte Bromeliad.

Dyckia brevifolia is an endemic rheophyte bromeliad that occurs exclusively in patches on rocky banks of the Itajaí-Açu River in southern Brazil. The genetic diversity of all known populations was carried out using allozyme markers and the total numbers of rosettes, reproductive rosettes, and clumps per population were characterized. The mating system was also investigated. Most rosettes were aggregated in groups, and the populations differed significantly in number of rosettes and reproductive rosettes per population. The outcrossing rate obtained was 8.2%, with predominant selfing. The populations presented an average of 1.4 alleles per locus and 27% of polymorphisms. The mean expected genetic diversity was 0.067. Downstream populations showed the highest genetic diversity which could be attributed to hydrochory (unidirectional river flow). Most genetic diversity is distributed among populations (F^ST = 0.402). Natural habitats of D. brevifolia are not recommended for the construction of hydroelectric plants given that it would seriously complicate in situ conservation of this species. Based on the results of this study, it can be concluded that between 35 and 161 reproductive rosettes must be collected for effective ex situ conservation, depending on the targeted population, or seeds collected from 157 seed-rosettes per population.

Patterns of gene flow in Encholirium horridum L.B.Sm., a monocarpic species of Bromeliaceae from Brazil.

Encholirium horridum is a bromeliad that occurs exclusively on inselbergs in the Atlantic Forest biome of Brazil. These rock outcrops form natural islands that isolate populations from each other. We investigated gene flow by pollen through paternity analyses of a bromeliad population in an area of approximately 2 ha in Espírito Santo State, Brazil. To that end, seed rosettes and seedlings were genotyped using nuclear microsatellite loci. A plot was also established from the same population and specimens were genotyped to evaluate their fine-scale spatial genetic structure (SGS) through analyses of spatial autocorrelation and clonal growth. Paternity analysis indicated that 80% of the attributed progenitors of the genotyped seedlings were from inside the study area. The pollen dispersal distances within the area were restricted (mean distance of 45.5 m, varying from 3 to 156 m) and fine-scale SGS was weak (F(ij) = 0.0122, P < 0.001; Sp = 0.009). Clonal growth was found to be a rare event, supporting the monocarpy of this species.

At risk of population decline? An ecological and genetic approach to the threatened palm species Butia eriospatha (Arecaceae) of Southern Brazil.

To estimate the risk of population decline for the threatened palm species Butia eriospatha, we investigated the patterns of demography, natural regeneration, herbivory, and the levels of genetic diversity using 9 microsatellite loci from both adults and seedlings sampled from 4 populations in Southern Brazil (n = 330). Our results indicate that cattle grazing in B. eriospatha population areas severely affect their demographic structure. Three B. eriospatha populations showed a bimodal age structure made up of adult plants and seedlings and high rates (>77%) of livestock herbivory. For 1 population, we describe and quantify for the first time the occurrence of 6 ontogenetic stages for this threatened palm species. Populations of B. eriospatha showed high levels of genetic differentiation (F ST adult plants = 0.287, F ST seedlings = 0.175). The amount of observed heterozygosity differed significantly between small (H O = 0.329) and large populations (H O = 0.461), indicating that small populations can be more susceptible to genetic drift. With no recruitment and a mortality rate of 2.0%, we show that the populations investigated in this study would be at an extremely high risk of local extinction, with a greater than 50% reduction in the effective population size, in the next 40 years. Although this study highlights the importance of analyzing both population ecology parameters and genetic data to better understand the level of risk facing threatened species, we emphasize that policy actions are urgently needed for effective conservation of this vulnerable biological resource.

Bark harvesting systems of Drimys brasiliensis Miers in the Brazilian Atlantic rainforest.

Drimys brasiliensis Miers, locally known as cataia or casca-de-anta, is a native tree species of the Atlantic Rainforest. Its bark is harvested from natural populations. This study examined the recovery capacity of the bark of D. brasiliensis under different bark harvesting methods, as well as the influence of these approaches on its population dynamics and reproductive biology. While none of these treatments resulted in changes in phenological behavior or the rate of increase of diameter at breast height and tree height, the removal of wider bark strips resulted in lower rates of bark recovery and higher rates of insect attack and diseases. Accordingly, the results recommend using strips of bark 2 cm wide and 2 m long, with 4 cm between strips, for effective rates of bark regrowth and for lower susceptibility to insect attack and diseases. From these studies, we concluded that D. brasiliensis has a high potential for sustainable management of its natural populations, demonstrating the possibility of generating an important supplementary income for farmers and contributing to the use and conservation of the Atlantic Rainforest.

Food insecurity and the relationship between household income and children's health and nutrition in Brazil.

Empirical evidence indicates that children living in wealthier households have better health. Food insecurity could be related to lack of adequate nutrition experienced by poor children and may be pointed out as one of the possible explanations for this relationship. This paper investigates the association between food insecurity and children's health and nutrition and the role of the former in the child health income gradient. Using data from the 2006 Brazilian Demographic and Health Survey, the results show that children living in households with food insecurity have worse nutrition and health indicators. In addition, the relationship between household income and many children's health and nutrition measures weakens but remains significant when controlling for food insecurity.

Linking phenology to mating system: exploring the reproductive biology of the threatened palm species Butia eriospatha.

The reproductive biology of the vulnerable palm species Butia eriospatha was studied to provide important information that contributes to our understanding and conservation of the species. In order to determine when and how B. erisopatha reproduces, we combined data from 7 nuclear microsatellite loci with ecological data on flowering and fruiting phenology collected between 2009 and 2011 from a population (N = 515) in the Atlantic Rainforest, Southern Brazil. Periods of flowering and fruit production were seasonal and variable across reproductive events. Mating system analyses indicate that B. eriospatha is a predominantly outcrossing species, ((m) = 0.961), since a certain degree of biparental inbreeding does occur. The species is self-compatible and reproduction may also occur by geitonogamy, indicating the ability of isolated populations to survive and persist. Open-pollinated seeds varied in relatedness, including mainly half-sibs and full-sibs. The effective population size was lower than that expected for panmictic populations. Hence, seeds for conservation programs must be collected from a large number of seed-trees to ensure an adequate effective population in the sample. The collection of germplasm is a high-priority strategy that should be employed to maintain the genetic variability that remains.

Microsatellites in the endangered species Dyckia distachya (Bromeliaceae) and cross-amplification in other bromeliads.

Microsatellite markers were isolated in Dyckia distachya, an endangered bromeliad from southern Brazil, which will be useful to assess the population genetic structure and reproductive success in introduced and natural populations of this species. Twenty microsatellite loci were developed from an enriched genomic library, and nine of these were amplified. The loci were characterized in 43 individuals from introduced and wild D. distachya populations. All nine loci were polymorphic, with four to ten alleles per locus. In an introduced population the observed and expected heterozygosities ranged from 0.136-0.667 and 0.543-0.877, respectively, while in a wild population it ranged from 0.000 to 0.895 and from 0.050 to 0.811, respectively. The development of these microsatellite markers will contribute to investigations of the reproductive potential and viability of introduced populations of D. distachya as well as the single known wild population. Cross-amplification in other Bromeliaceae species was successful, with high rates in four loci, demonstrating the applicability of these microsatellite markers in other taxa.

The same but different: monomorphic microsatellite markers as a new tool for genetic analysis.

PREMISE OF THE STUDY: The nucleotide variation at a microsatellite locus lacking length polymorphisms among its alleles was assessed to generate an informative tool for genetic analysis. METHODS AND RESULTS: From a set of microsatellite markers, a monomorphic microsatellite locus developed for the palm species Butia eriospatha was used to elucidate whether there are polymorphic sites in its flanking regions. DNA sequences ≈133 bp long were obtained. Aligned sequences show variation at 17 polymorphic sites with both insertions and nucleotide substitutions. Fourteen distinct sequences (alleles) among 22 individuals were identified. The percent sequence difference varied from 0.0 to 5%, indicating that there is significant variation among sequences. CONCLUSIONS: Due to significant levels of information and sequence diversity on a simple sequence repeat (SSR) locus of identical size, our study highlights that this molecular marker class can be a useful tool for population genetics and evolutionary studies for many plant species.

Microsatellite markers for Butia eriospatha (Arecaceae), a vulnerable palm species from the Atlantic Rainforest of Brazil.

PREMISE OF THE STUDY: Microsatellite markers were developed for the vulnerable palm species Butia eriospatha (Mart. ex Drude) Becc. to investigate genetic diversity, spatial genetic structure, mating system, and population dynamics. METHODS AND RESULTS: From a genomic library enriched for GA/CA repeats, 14 sets of primers were isolated and characterized for 50 B. eriospatha samples from two populations. The number of alleles per locus ranged from 2 to 6 (with amplified dinucleotide repeat-based primers); the observed and expected heterozygosities ranged from 0.000 to 1.000 and from 0.120 to 0.690, respectively. At least 86% of primers were also amplified for Butia catarinensis Noblick & Lorenzi, another threatened palm species from the Atlantic Rainforest in Brazil. CONCLUSIONS: The new marker set described here will be useful for studies of population genetics of B. eriospatha, and they have been shown to be applicable for other species from the Butia genus.

Scaling advantage over path-integral Monte Carlo in quantum simulation of geometrically frustrated magnets.

The promise of quantum computing lies in harnessing programmable quantum devices for practical applications such as efficient simulation of quantum materials and condensed matter systems. One important task is the simulation of geometrically frustrated magnets in which topological phenomena can emerge from competition between quantum and thermal fluctuations. Here we report on experimental observations of equilibration in such simulations, measured on up to 1440 qubits with microsecond resolution. By initializing the system in a state with topological obstruction, we observe quantum annealing (QA) equilibration timescales in excess of one microsecond. Measurements indicate a dynamical advantage in the quantum simulation compared with spatially local update dynamics of path-integral Monte Carlo (PIMC). The advantage increases with both system size and inverse temperature, exceeding a million-fold speedup over an efficient CPU implementation. PIMC is a leading classical method for such simulations, and a scaling advantage of this type was recently shown to be impossible in certain restricted settings. This is therefore an important piece of experimental evidence that PIMC does not simulate QA dynamics even for sign-problem-free Hamiltonians, and that near-term quantum devices can be used to accelerate computational tasks of practical relevance.

Genetic structure and mating system of Euterpe edulis Mart. Populations: a comparative analysis using microsatellite and allozyme markers.

A comparative study between microsatellite and allozyme markers was conducted on the genetic structure and mating system in natural populations of Euterpe edulis Mart. Three cohorts, including seedlings, saplings, and adults, were examined in 4 populations using 10 allozyme loci and 10 microsatellite loci. As expected, microsatellite markers had a much higher degree of polymorphism than allozymes, but estimates of multilocus outcrossing rate ( = 1.00), as well as estimates of genetic structure (F(IS), G(ST)), were similar for the 2 sets of markers. Estimates of R(ST), for microsatellites, were higher than those of G(ST), but results of both statistics revealed a close agreement for the genetic structure of the species. This study provides support for the important conclusion that allozymes are still useful and reliable markers to estimate population genetic parameters. Effects of sample size on estimates from hypervariable loci are also discussed in this paper.

Semiclassical corrections to the large- N limit of Dicke's model.

We use a semiclassical expansion as an alternative derivation of the well-known, rigorous result obtained by Hepp and Lieb for the classical limit of the spin-boson model. We also explicitly derive correction terms to the classical limit previously obtained in the context of Heisenberg equations of motion. We analyze the size and shape of the N (number of atoms) vs t (time) domain whithin which the corrections so obtained are useful.

Measuring the mismatch between field of study and occupation using a task-based approach.

This paper seeks to provide a continuous measure to represent the distance between skills acquired in tertiary education and those required in an individual's occupation. This distance measure, which is computed by combining data from the 2010 Brazilian census with information from the 2010 Brazilian classification of occupations, suggests that workers usually classified in most of the literature into a single group of mismatches are in fact quite heterogeneous in the way their occupations are associated with areas of study. Evidence also shows that, even among mismatched workers, hourly labor earnings tend to decrease as the distance measure increases. This indicates the labor earnings penalty is not the same for all mismatched workers, seemingly changing substantially depending on the level of similarity between occupation and field of study.