The state space for two qutrits has a phase space structure in its core

We investigate the state space of bipartite qutrits. For states which are locally maximally mixed we obtain an analog of the ``magic'' tetrahedron for bipartite qubits--a magic simplex W. This is obtained via the Weyl group which is a kind of ``quantization'' of classical phase space. We analyze how this simplex W is embedded in the whole state space of two qutrits and discuss symmetries and equivalences inside the simplex W. Because we are explicitly able to construct optimal entanglement witnesses we obtain the border between separable and entangled states. With our method we find also the total area of bound entangled states of the parameter subspace under intervestigation. Our considerations can also be applied to higher dimensions.Comment: 3 figure

Evaluating social inclusion: An adaptable measure for use on college campuses

Gender and sexual identity discrimination are commonly reported among persons of non-heterosexual or non-cisgender identities. Sexual and gender minority (SGM) students are more likely to experience discrimination, hate crimes, poverty, sexually transmitted infections, anxiety, and depression compared to heterosexual and cisgender individuals. These marginalized experiences create a unique need for education, resources, support, and community. Greater awareness of sexual and gender minorities encourages college students to feel comfortable sharing their experiences, and openly identifying as a sexual and/or gender minority. Consequently, to retain the full breadth of diversity within university communities, centers on campus that provide programming, education, and advocacy for minority students are essential for an inclusive campus climate that nurtures diverse student populations. Given the dearth in empirical instruments to support social inclusion among Sexual and Gender Minorities on college campuses, the purpose of this research was to, 1.) Develop a meaningful measure for use in the evaluation of gender identity and sexuality among college students and their perceived social inclusion through the lens of a social inclusion center; and 2.) Include questions addressing efficacy of relevant social inclusion centers for SGM students, staff, faculty, and their allies. This research focuses on self-report data collected through the Gender and Sexual Inclusion, Knowledge, and Attitude Survey from staff, faculty, and undergraduate students from a small liberal arts college in the Pacific Northwest (N = 218)

On the mixing property for a class of states of relativistic quantum fields

Let $\omega$ be a factor state on the quasi-local algebra $\cal{A}$ of observables generated by a relativistic quantum field, which in addition satisfies certain regularity conditions (satisfied by ground states and the recently constructed thermal states of the $P(\phi)_2$ theory). We prove that there exist space and time translation invariant states, some of which are arbitrarily close to $\omega$ in the weak* topology, for which the time evolution is weakly asymptotically abelian

EEG Classification based on Image Configuration in Social Anxiety Disorder

The problem of detecting the presence of Social Anxiety Disorder (SAD) using Electroencephalography (EEG) for classification has seen limited study and is addressed with a new approach that seeks to exploit the knowledge of EEG sensor spatial configuration. Two classification models, one which ignores the configuration (model 1) and one that exploits it with different interpolation methods (model 2), are studied. Performance of these two models is examined for analyzing 34 EEG data channels each consisting of five frequency bands and further decomposed with a filter bank. The data are collected from 64 subjects consisting of healthy controls and patients with SAD. Validity of our hypothesis that model 2 will significantly outperform model 1 is borne out in the results, with accuracy $6$--$7\%$ higher for model 2 for each machine learning algorithm we investigated. Convolutional Neural Networks (CNN) were found to provide much better performance than SVM and kNNs

Maximizing nearest neighbour entanglement in finitely correlated qubit--chains

We consider translationally invariant states of an infinite one dimensional chain of qubits or spin-1/2 particles. We maximize the entanglement shared by nearest neighbours via a variational approach based on finitely correlated states. We find an upper bound of nearest neighbour concurrence equal to C=0.434095 which is 0.09% away from the bound C_W=0.434467 obtained by a completely different procedure. The obtained state maximizing nearest neighbour entanglement seems to approximate the maximally entangled mixed states (MEMS). Further we investigate in detail several other properties of the so obtained optimal state.Comment: 12 pages, 4 figures, 2nd version minor change

Fall Movements of Belugas (Delphinapterus leucas) with Satellite-linked Transmitters in Lancaster Sound, Jones Sound, and Northern Baffin Bay

Six adult belugas, Delphinapterus leucas, (2 males, 4 females) were instrumented with satellite-linked transmitters in Croker Bay, southeastern Devon Island in the Canadian High Arctic in mid-September 1995. Some days, the animals remained close to shore along the southeastern and eastern shoreline of Devon Island, presumably foraging for arctic cod (Boreogadus saida) and other prey. They spent the rest of the time in the deep waters of Lady Ann Strait, eastern Jones Sound, and the waters southeast of Coburg Island, presumably feeding on deepwater prey. Only males went farther north in water off southeastern Ellesmere Island, the belugas' swimming speeds decreased in the later part of the study period. Their last transmissions came from the North Water, an area where belugas are known to winter. Results of this study were not sufficient to determine the extent of movement of belugas between the eastern Canadian Arctic and Greenland.À la mi-septembre 1995, on a installé des émetteurs en liaison avec un satellite sur six bélugas adultes (Delphinapterus leucas) - 2 mâles, 4 femelles - dans la baie Croker, au sud-est de l'île Devon dans l'Extrême-Arctique canadien. Certains jours, les six bélugas se tenaient près de la côte sud-est et est de l'île Devon, probablement à la recherche de morue arctique (Boreogadus saida) ou d'autres proies. Ils ont passé le reste du temps dans les eaux profondes du détroit de Lady Ann, de l'est du détroit de Jones, et dans les eaux du sud-est de l'île Coburg, se nourrissant probablement de proies habitant les grands fonds. Seuls les mâles se sont rendus plus au nord dans les eaux au large du sud-est de l'île Ellesmere. La vitesse de nage des bélugas a diminué durant la dernière portion de l'étude. Les derniers signaux provenaient de l'Eau du Nord, une région où l'on sait que les bélugas passent l'hiver. Les résultats de cette étude sont insuffisants pour évaluer l'ampleur des déplacements de bélugas entre l'est de l'Arctique canadien et le Groenland

LICOR-Liquid Columns' Resonances

The aim of the experiment LICOR was the investigation of the axial resonances oi cylindrical liquid columns supported by equal circular coaxiaJ disks. In preparation ot the D-2 experiment a •heoreiical model has been developed, which exactly describes the small amplitude oscillations of finite cylindrical columns between coaxial circular disks. In addition, in terrestrial experiments the resonance frequencies of small liquid columns with up to 5 mm in diameter have been determined and investigations with density-matched liquids (silicon oil in a waierlmethanol mixture) have been performed. For the D-2 experiment LICOR the front disk and the rear disk lor use in the AFPM have been constructed and equipped with pressure sensors and the necessary electronics. The pressure exerted by the oscillating liquid column on trie supporting disks vsas as low as 10 Pa. Since the data downlink of the Materials Research Laboratory was just one signal oer second and channel, it was necessary to determine amplitude and phase of the pressure already in the LICOR disks. The D-2 experiment has been successfully performed. It has fully confirmed the theoretical models and remarkably supplements the experiments on small liquid columns and on density-matched columns