Quantum Advantage for Shared Randomness Generation

Sharing correlated random variables is a resource for a number of information theoretic tasks such as privacy amplification, simultaneous message passing, secret sharing and many more. In this article, we show that to establish such a resource called shared randomness, quantum systems provide an advantage over their classical counterpart. Precisely, we show that appropriate albeit fixed measurements on a shared two-qubit state can generate correlations which cannot be obtained from any possible state on two classical bits. In a resource theoretic set-up, this feature of quantum systems can be interpreted as an advantage in winning a two players co-operative game, which we call the `non-monopolize social subsidy' game. It turns out that the quantum states leading to the desired advantage must possess non-classicality in the form of quantum discord. On the other hand, while distributing such sources of shared randomness between two parties via noisy channels, quantum channels with zero capacity as well as with classical capacity strictly less than unity perform more efficiently than the perfect classical channel. Protocols presented here are noise-robust and hence should be realizable with state-of-the-art quantum devices.

Lebesgue Points of Besov and Triebel–Lizorkin Spaces with Generalized Smoothness

In this article, the authors study the Lebesgue point of functions from Hajłasz–Sobolev, Besov, and Triebel–Lizorkin spaces with generalized smoothness on doubling metric measure spaces and prove that the exceptional sets of their Lebesgue points have zero capacity via the capacities related to these spaces. In case these functions are not locally integrable, the authors also consider their generalized Lebesgue points defined via the γ-medians instead of the classical ball integral averages and establish the corresponding zero-capacity property of the exceptional sets.

Influência topoedafoclimática na produção primária bruta no semiárido

O relevo influencia a precipitação, a produção de biomassa e a produção primária bruta (Gross Primary Production-GPP). Em ecossistemas secos qualquer variação GPP tem importância cientifica uma vez que são ecossistemas bastante vulneráveis devido a alta variabilidade espacial e temporal do clima. Além disso, avaliar a relação entre o relevo e GPP em ecossistemas secos se torna mais fácil por existir um período bem definido com zero de precipitação. O estudo objetivou avaliar a influência do relevo, da altitude, da precipitação e do solo na Gross Primary Production-GPP no Bioma Caatinga. Foram utilizados os produtos MOD17 (GPP), sensor MODIS do satélite Terra e dados de precipitação para os anos de 2015 e 2016, com a aplicação de estatísticas descritivas e multivariadas para identificar correlações e similaridades entre áreas e amostras. Ocorreu grande variação espacial e temporal da GPP em áreas de Caatinga, devido ao relevo, clima e solo. A quantificação da GPP nas áreas de maiores altitudes apresentou médias de 46,87 e 55,84 gC m-2 e menores valores de GPP, de 2,49 e 3,75 gC m-2, em 2015 e 2016, respectivamente. Nas áreas planas, as maiores médias foram 46,03 e 55,84 gC m-2 e as menores 3,75 e 2,49 gC m-², em 2015 e 2016, respectivamente. Ocorreu uma diferença de quase 40% para os menores valores de GPP, quando comparados aos relativos às áreas mais altas e mais baixas. Foi possível avaliar a influência do relevo na GPP devido existir um período seco bem definido e de precipitação zero. Os anos de maiores precipitação têm forte influência nos menores valores de GPP das áreas planas. Assim, no período chuvoso é mais difícil identificar a influência de outros fatores, que não sejam a precipitação, na GPP. Esses resultados são de grande importância para mitigar ou avaliar os efeitos das mudanças climáticas sobre os ecossistemas secos.Palavras-Chave: relevo, sensoriamento remoto, produção primária bruta, sensor MODISEdapho-topo-climatic Influence on gross primary production in semi-arid A B S T R A C TRelief influences formation, biomass production and gross primary production (Gross primary production-GPP). In dry ecosystems any GPP variation is of scientific importance since they are very vulnerable ecosystems due to the high spatial and temporal variability of the climate. In addition, assessing the relationship between relief and GPP in dry ecosystems makes it easier to have a well-defined period with zero special. The study aimed to evaluate the influence of relief, altitude, exclusion and soil in the Primary Gross Production-GPP in the Caatinga Biome. The products MOD17 (GPP), MODIS sensor from the Terra satellite and capacity data for the years 2015 and 2016 were used, with the application of descriptive and multivariate statistics to identify correlations and similarities between areas and accounts. There was a great spatial and temporal variation of the GPP in Caatinga areas, due to the relief, climate and soil. Quantification of GPP in areas of higher altitudes showed averages of 46.87 and 55.84 gC m-2 and lower values of GPP, of 2.49 and 3.75 gC m-2, in 2015 and 2016, respectively. In the flat areas, the highest averages were 46.03 and 55.84 gC m-2 and the lowest 3.75 and 2.49 gC m-2, in 2015 and 2016, respectively. There was a difference of almost 40% for the lowest values of the GPP, when compared to those related to the highest and lowest areas. It was possible to evaluate the influence of the relief on the GPP because there is a well-defined dry period with zero capacity. The years of greater capacity have a strong influence on the lower values of GPP in flat areas. Thus, in the rainy season, it is more difficult to identify the influence of factors other than exclusion on GPP. These results are of great importance to mitigate or assess the effects of climate change on dry ecosystems.Keywords: relief, remote sensing, gross primary production, MODIS sensor

Changes in the Fluctuating Asymmetry of the Leaf and Reproductive Capacity of Betula pendula Roth Reflect Pessimization of Anthropogenically Transformed Environment

We have estimated the reproductive capacity of Betulapendula Roth and its relationship with an integrated measure of developmental stability, i.e., fluctuating asymmetry (FA) of the leaf. On the territory of a city with moderate anthropogenic pollution, a change has been detected in the integrated fluctuating asymmetry (IFA) of the morphology of the female reproductive sphere and reproductive capacity of Betula pendula. In conditions of anthropogenic stress, the birch is observed to produce a large yield of fruits annually, which is not subject to year-to-year fluctuations. Morphological variety of size and shape of fruit-producing organs increases along the gradient of industrial and transport pollution; part of morphotypes of infructescences and seeds is characterized by lowered or zero capacity for reproduction determined by seed quality (germination energy and germination capacity). The statistical data processing involved correlation, Shapiro–Wilk test, Levene’s test, factorial ANOVA, Scheffe test, Kruskal–Wallis ANOVA, Mann–Whitney test, χ2 method. Analysis of IFA has allowed us to reasonably well assess the state of the plant organism and to characterize environmental quality. A negative correlation between IFA and quantitative parameters of the functions of the reproductive sphere of B. pendula (infructescence diameter, seed quality) has been found, and positive correlation with qualitative parameters (the number of morphs of infructescences and seeds, the share of rare morphs of infructescences). Pessimization of urban environment creates the conditions for an increase in the share of defective infructescences and non-germinating seeds; a compensatory mechanism for this is an increase in reproductive effort of B. pendula. The consistency of responses in the vegetative and reproductive spheres reflects the disturbances in developmental stability of plants in urban communities.

Pengujian Hydraulic Cylinder Pada Simulator Arm Excavator

Fundamental hydraulic dan intermediate hydraulic mempunyai peran yang sangat penting dalam menunjang pengetahuan mahasiswa Teknik Alat Berat dimana sistem hydraulic berperan penting dalam pengoperasian alat berat, guna menunjang pengetahuan tersebut maka diperlukan alat peraga sebagai media pembelajaran yang berupa simulator karena dianggap lebih aman dan dapat menghemat biaya. Namun, simulator yang terdapat pada workshop Teknik Alat Berat dalam kondisi yang tidak berfungsi sehingga diperlukan perbaikan. Sedangkan masalah yang terdapat pada penelitian adalah tidak adanya spesifikasi standard yang dibuat sebelumnya. Setelah melakukan perbaikan maka akan dilakukan pengujian untuk menjadi acuan standar atau spesifikasi alat atau simulator tersebut, maka dari itu penulis melakukan pengujian yang berupa pengujian hydraulic cylinder pada simulator arm excavator, pengujian terbagi menjadi tiga variabel uji yaitu zero capacity, struck capacity, dan heaped capacity dengan objek beban menggunakan pasir hitam yang bertujuan untuk mengetahui kebocoran pada cylinder. Data hasil pengujian dapat dijadikan sebagai parameter atau acuan spesifikasi yang dapat digunakan pada simulator arm excavator.

Triebel-Lizorkin capacity and hausdorff measure in metric spaces

We provide a upper bound for Triebel-Lizorkin capacity in metric settings in terms of Hausdorff measure. On the other hand, we also prove that the sets with zero capacity have generalized Hausdorff h-measure zero for a suitable gauge function h.

Some remarks on the Dirichlet problem on infinite trees

We consider the Dirichlet problem on in_nite and locally _nite rooted trees, andwe prove that the set of irregular points for continuous data has zero capacity. We also give some uniqueness results for solutions in Sobolev W1,p of the tree.

Secure Communication over Zero-Private Capacity Quantum Channels

In this work a new phenomenon called polaractivation is introduced. Polaractivation is based on quantum polar encoding and the result is similar to the superactivation effect — positive capacity can be achieved with zero-capacity quantum channels. However, polaractivation has many advantages over the superactivation: it is limited neither by any preliminary conditions on the quantum channel nor on the maps of other channels involved in the joint channel structure. We prove that the polaractivation works for arbitrary zero-private capacity quantum channels and we demonstrate, that the symmetric private classical capacity of arbitrary zero-private capacity quantum channels is polaractive.