Mutual information on the fuzzy sphere

We numerically calculate entanglement entropy and mutual information for a massive free scalar field on commutative (ordinary) and noncommutative (fuzzy) spheres. We regularize the theory on the commutative geometry by discretizing the polar coordinate, whereas the theory on the noncommutative geometry naturally posseses a finite and adjustable number of degrees of freedom. Our results show that the UV-divergent part of the entanglement entropy on a fuzzy sphere does not follow an area law, while the entanglement entropy on a commutative sphere does. Nonetheless, we find that mutual information (which is UV-finite) is the same in both theories. This suggests that nonlocality at short distances does not affect quantum correlations over large distances in a free field theory.Comment: 16 pages, 10 figures. Fixed minor typos, references updated, discussion slightly expande

The Pselaphinae (Coleoptera, Staphylinidae) of the Maltese Archipelago

Fourteen pselaphines are recorded from the Maltese Islands three of which are recorded for the first time: Rybaxis longicornis, Tychus jacquelinii, and T. pici. Tychus pici, a North African species that is so far known only from Algeria and Tunisia, is here recorded for the first time for the European territory. Locality and collecting data that were lacking for three other species recorded from Malta in the recently published catalogue of Palaearctic Coleoptera, is also provided. The record of Euplectus brunneus is incorrect and most likely should refer to E. corsicus. An illustrated dichotomous key is included to facilitate identification of Maltese pselaphines.peer-reviewe

Time dependence of entanglement entropy on the fuzzy sphere

We numerically study the behaviour of entanglement entropy for a free scalar field on the noncommutative ("fuzzy") sphere after a mass quench. It is known that the entanglement entropy before a quench violates the usual area law due to the non-local nature of the theory. By comparing our results to the ordinary sphere, we find results that, despite this non-locality, are compatible with entanglement being spread by ballistic propagation of entangled quasi-particles at a speed no greater than the speed of light. However, we also find that, when the pre-quench mass is much larger than the inverse of the short-distance cutoff of the fuzzy sphere (a regime with no commutative analogue), the entanglement entropy spreads faster than allowed by a local model.Comment: 1+14 pages, 8 figures v2: References added, matches published versio

Entanglement entropy on the fuzzy sphere

We obtain entanglement entropy on the noncommutative (fuzzy) two-sphere. To define a subregion with a well defined boundary in this geometry, we use the symbol map between elements of the noncommutative algebra and functions on the sphere. We find that entanglement entropy is not proportional to the length of the region's boundary. Rather, in agreement with holographic predictions, it is extensive for regions whose area is a small (but fixed) fraction of the total area of the sphere. This is true even in the limit of small noncommutativity. We also find that entanglement entropy grows linearly with N, where N is the size of the irreducible representation of SU(2) used to define the fuzzy sphere.Comment: 18 pages, 7 figures. v3 to appear in JHEP. Clarified statements about UV/IR mixing and interpretation in terms of degrees of freedom on the fuzzy sphere vs. matrix degrees of freedom, fixed some typos and added reference

PERBEDAAN BENTUK TES DALAM HASIL BELAJAR K3LH DI SMK YPK KESATUAN, JAKARTA SELATAN

ABSTRAK Sabella. The Differences type test in outcomes K3LH in SMK YPK Kesatuan. Skrispsi, Jakarta: Study Program of Office Administration Education, Major Economy and Administration. Faculty Economy, State University of Jakarta, 2013. This study aims to determine the differences in learning outcomes K3LH significant between the groups using a test with a limited form of essay test group using multiple forms plihan. population in this study were all students of SMK YPK X Unity South Jakarta which consists of 4 classes. Samples randomly taken two classes (60 students) at random, AP1 X class (30 students) using limited test form essays and class X AP2 (30 people) uses a multiple choice test. This type of research is experimental research and the types of instruments used in the form of tests of cognitive learning outcomes. The results of this study showed the average value of daily test essai limited test group was 63.33 and 78.50 for groups of multiple choice. Highest scoring essays form a limited test group of 80 and groups of 95 multiple choice. while the lowest score essai limited test group of 45 and groups of 55 multiple-choice tests. The results of the normality of finite group essay limited L calculate = 0.129 <L = 0161, then Ho is accepted at significance level of 0.05 so that the data is normally distributed. While the multiple-choice test for normality groups namely L table calculate = 0.159 t with a level of 0.05. Then the price is known t0, 975 with dk= 58 from the list of students is 2,02. Testing criteria Ho if t calculate T . After testing hipotes held at a price of t obtained from the calculation of 6.408 which was located outside the reception area of Ho between -2.02 and 2.02 it can be table table concluded that the null hypothesis is rejected. It means that there is a difference in the form of test results to learn K3LH (Safety, Security, Health and Environment) and a multiple choice test is significantly higher than the form of essay tests is limited

Evolutionary algorithms: Overview and applications to European transport

The present paper aims to analyse the research potential of Evolutionary Algorithms (EAs) in the light of their possible applications in the space-economy. For this purpose the first part of the paper will be devoted to an overview and illustration of EAs, also in comparison with other recent tools emerging form bio-computing, like Neural Networks (NNs). The second part of the paper will then focus on empirical applications concerning analyses and forecasts of European freight transport flows (at a regional level). In this context, the results stemming from an integrated approach combining EAs with NNs will be compared with those from conventional methodologies, like logit models, as well as with the "usual" NN models. We will analyze the sensitivity of various results by using different environmental policy on scenarios on European transport. The empirical experiments highlight the advantages and limitations of these approaches from both a methodological and empirical viewpoint, by offering a plausible range of values of outcomes that may be useful for planners and operators in this field.

A Cardy formula for off-diagonal three-point coefficients; or, how the geometry behind the horizon gets disentangled

In the AdS/CFT correspondence eternal black holes can be viewed as a specific entanglement between two copies of the CFT: the thermofield double. The statistical CFT Wightman function can be computed from a geodesic between the two boundaries of the Kruskal extended black hole and therefore probes the geometry behind the horizon. We construct a kernel for the AdS3/CFT2 Wightman function that is independent of the entanglement. This kernel equals the average off-diagonal matrix element squared of a primary operator. This allows us to compute the Wightman function for an arbitrary entanglement between the double copies and probe the emergent geometry between a left- and right-CFT that are not thermally entangled.Comment: 18 pages, 8 figures v2: Added appendix on spatial dependence, minor changes, matches published versio

Inviolable energy conditions from entanglement inequalities

Via the AdS/CFT correspondence, fundamental constraints on the entanglement structure of quantum systems translate to constraints on spacetime geometries that must be satisfied in any consistent theory of quantum gravity. In this paper, we investigate such constraints arising from strong subadditivity and from the positivity and monotonicity of relative entropy in examples with highly-symmetric spacetimes. Our results may be interpreted as a set of energy conditions restricting the possible form of the stress-energy tensor in consistent theories of Einstein gravity coupled to matter.Comment: 25 pages, 3 figures, v2: refs added, expanded discussion of strong subadditivity constraints in sections 2.1 and 4.

La costruzione cooperativa di prove di verifica dell’apprendimento scolastico tramite la piattaforma PRO.V.A. Funzioni e analisi delle chat

I circa 300 corsisti che hanno partecipato al TFA (Tirocinio Formativo Attivo) della Sapienza (a.a. 2014-2015) hanno seguito il modulo previsto suddivisi in tre grandi aree tematiche: Scienze e Matematica; Lingue e Storia dell’arte (Lettere A); Lettere (Lettere B). Con il supporto di tutor d’aula è stato deciso di dividere i corsisti in piccoli sottogruppi in base alla classe di concorso (massimo 6 persone a gruppo) per avviare un’attività laboratoriale con l’obiettivo di costruire in maniera collegiale delle prove di verifica degli apprendimenti scolastici utilizzando la piattaforma PRO.V.