Dynamical Mean Field Theory with the Density Matrix Renormalization Group

A new numerical method for the solution of the Dynamical Mean Field Theory's self-consistent equations is introduced. The method uses the Density Matrix Renormalization Group technique to solve the associated impurity problem. The new algorithm makes no a priori approximations and is only limited by the number of sites that can be considered. We obtain accurate estimates of the critical values of the metal-insulator transitions and provide evidence of substructure in the Hubbard bands of the correlated metal. With this algorithm, more complex models having a larger number of degrees of freedom can be considered and finite-size effects can be minimized.Comment: 5 pages, 4 figure

Regimes of classical simulability for noisy Gaussian boson sampling

As a promising candidate for exhibiting quantum computational supremacy, Gaussian Boson Sampling (GBS) is designed to exploit the ease of experimental preparation of Gaussian states. However, sufficiently large and inevitable experimental noise might render GBS classically simulable. In this work, we formalize this intuition by establishing a sufficient condition for approximate polynomial-time classical simulation of noisy GBS --- in the form of an inequality between the input squeezing parameter, the overall transmission rate and the quality of photon detectors. Our result serves as a non-classicality test that must be passed by any quantum computationalsupremacy demonstration based on GBS. We show that, for most linear-optical architectures, where photon loss increases exponentially with the circuit depth, noisy GBS loses its quantum advantage in the asymptotic limit. Our results thus delineate intermediate-sized regimes where GBS devices might considerably outperform classical computers for modest noise levels. Finally, we find that increasing the amount of input squeezing is helpful to evade our classical simulation algorithm, which suggests a potential route to mitigate photon loss.Comment: 13 pages, 4 figures, final version accepted for publication in Physical Review Letter

Comparison of the highway safety manual predictive method with safety performance functions based on geometric design consistency

This is an Accepted Manuscript of an article published by Taylor & Francis in Journal of Transportation Safety & Security, available online: http://www.tandfonline.com/10.1080/19439962.2020.1738612[EN] Road safety is a major public health concern in our society. Effective road design and accurate safety analyses must be a component of programs focused on reducing and eliminating roadway injuries and deaths. Various methodologies exist to determine the expected number of crashes on rural two-lane rural roads. This research compares different procedures which allow for the estimation of the number of crashes on homogeneous road segments. In this effort, a total of 27 two-lane rural road sections located in North Carolina were considered, resulting in 59 homogeneous road segments composed of 350 horizontal curves and 375 tangents along 150 km of road. Four methods were applied to the selected roadways: the Highway Safety Manual predictive method, two jurisdiction-specific Safety Performance Functions (SPFs), and a SPF which includes a consistency parameter. This research found that the use of SPFs which incorporate a consistency parameter allows highway engineers to consider human factor impacts on road safety assessment. The use of a consistency parameter can also simplify the crash estimation process. Analysis methods which only included local geometric variables provided unreliable results due to the calibration of only the specific road elements instead of their relationship with other road elements along homogeneous road segments.This research was subsidized by the Spanish Ministry of Science, Innovation, and Universities through "Ayudas a la movilidad predoctoral para la realizacion de estancias breves en centros de I+D 2017" (EEBB-I-17-12154) and is part of the research project titled "CASEFU - Estudio experimental de la funcionalidad y seguridad de las carreteras convencionales" (TRA2013-42578-P), subsidized by the above mentioned Spanish Ministry and the European Social Fund. In addition, the authors would like to thank the North Carolina Department of Transportation, which provided traffic and crash data.Llopis-Castelló, D.; Findley, DJ.; García García, A. (2021). Comparison of the highway safety manual predictive method with safety performance functions based on geometric design consistency. Journal of Transportation Safety & Security. 13(12):1365-1386. https://doi.org/10.1080/19439962.2020.1738612S13651386131

De retibus socialibus et legibus momenti

Online Social Networks (OSNs) are a cutting edge topic. Almost everybody --users, marketers, brands, companies, and researchers-- is approaching OSNs to better understand them and take advantage of their benefits. Maybe one of the key concepts underlying OSNs is that of influence which is highly related, although not entirely identical, to those of popularity and centrality. Influence is, according to Merriam-Webster, "the capacity of causing an effect in indirect or intangible ways". Hence, in the context of OSNs, it has been proposed to analyze the clicks received by promoted URLs in order to check for any positive correlation between the number of visits and different "influence" scores. Such an evaluation methodology is used in this paper to compare a number of those techniques with a new method firstly described here. That new method is a simple and rather elegant solution which tackles with influence in OSNs by applying a physical metaphor.Comment: Changes made for third revision: Brief description of the dataset employed added to Introduction. Minor changes to the description of preparation of the bit.ly datasets. Minor changes to the captions of Tables 1 and 3. Brief addition in the Conclusions section (future line of work added). Added references 16 and 18. Some typos and grammar polishe

Valoración eco-pastoral de los pastos del Monte Lakora (Navarra, Pirineo occidental)

7 páginasSe aplica el método del índice eco-pastoral, desarrollado en trabajos previos, a los pastos del monte Lakora (Navarra) situado en el Pirineo occidental. Se ha utilizado un mapa de vegetación digitalizado (escala 1/5.000). Las comunidades de Primulion intricatae, Nardion strictae, brezales subalpinos de Vaccinium uliginosum y pastos de Festuca eskia son los que tienen un mayor valor ecológico. Las comunidades de Bromion erecti y Primulion intricatae son las que tienen un mayor valor pastoral potencial. El monte Lakora presenta un valor ecológico mayor que el pastoral, por lo que se justifica su inclusión dentro del Lugar de Importancia Comunitaria (LIC) “ES2200001 Larra-Aztaparreta” así como la priorización de su conservación mediante el adecuado manejo ganadero.Peer reviewe