Verifying continuous-variable entanglement in finite spaces

Starting from arbitrary Hilbert spaces, we reduce the problem to verify entanglement of any bipartite quantum state to finite dimensional subspaces. Hence, entanglement is a finite dimensional property. A generalization for multipartite quantum states is also given.Comment: 4 page

Restoration of Lake Pampulha, Brazil by using sanitation and in-lake techniques

The paper presents a broad view about the measures for restoration of Lake Pampulha, Brazil. This man made reservoir is located in a dense inhabited urban area and constitutes the main touristic attraction of the city of Belo Horizonte. Since several decades the water body receives the discharge of untreated sewage from domestic as well from industrial sources, what leads to severe episodes of algal blooms in the water surface. In order to combat this eutrophication problem some measures have been already carried out and others are planned in a short term. These preventive and corrective techniques provides an efficient association between sanitation processes and the application of in-lake treatment actions. Moreover a hydrodynamic modelling has been also carried out with the purpose of evaluating the water circulation and the water residence time in the compartments of the lake

Intro to Ground Water Law in Colorado and Surface-Groundwater Conflicts in the South Platte

25 pages. Contains footnotes

Intro to Ground Water Law in Colorado and Surface-Groundwater Conflicts in the South Platte

25 pages. Contains footnotes

Enriched Computational Homogenization Schemes Applied to Pattern-Transforming Elastomeric Mechanical Metamaterials

Elastomeric mechanical metamaterials exhibit unconventional mechanical behaviour owing to their complex microstructures. A clear transition in the effective properties emerges under compressive loading, which is triggered by local instabilities and pattern transformations of the underlying cellular microstructure. Such transformations trigger a non-local mechanical response resulting in strong size effects. For predictive modelling of engineering applications, the effective homogenized material properties are generally of interest. For mechanical metamaterials, these can be obtained in an expensive manner by ensemble averaging of the direct numerical simulations for a series of translated microstructures, applicable especially in the regime of small separation of scales. To circumvent this expensive step, computational homogenization methods are of benefit, employing volume averaging instead. Classical first-order computational homogenization, which relies on the standard separation of scales principle, is unable to capture any size and boundary effects. Second-order computational homogenization has the ability to capture strain gradient effects at the macro-scale, thus accounting for the presence of non-localities. Another alternative is micromorphic computational homogenization scheme, which is tailored to pattern-transforming metamaterials by incorporating prior kinematic knowledge. In this contribution, a systematic study is performed, assessing the predictive ability of computational homogenization schemes in the realm of elastomeric metamaterials. Three representative examples with distinct mechanical loading are employed for this purpose: uniform compression and bending of an infinite specimen, and compression of a finite specimen. Qualitative and quantitative analyses are performed for each of the load cases where the ensemble average solution is set as a reference.Comment: 32 pages, 19 figures, 1 table, abstract shortened to fulfil 1920 character limi

Independent nonclassical tests for states and measurements in the same experiment

We show that one single experiment can test simultaneously and independently both the nonclassicality of states and measurements by the violation or fulfillment of classical bounds on the statistics. Nonideal measurements affected by imperfections can be characterized by two bounds depending on whether we test the ideal measurement or the real one.Comment: 9 pages, 3 figures. Proceedings of 17th CEWQO 201