Geometric Entanglement of Symmetric States and the Majorana Representation

Permutation-symmetric quantum states appear in a variety of physical situations, and they have been proposed for quantum information tasks. This article builds upon the results of [New J. Phys. 12, 073025 (2010)], where the maximally entangled symmetric states of up to twelve qubits were explored, and their amount of geometric entanglement determined by numeric and analytic means. For this the Majorana representation, a generalization of the Bloch sphere representation, can be employed to represent symmetric n qubit states by n points on the surface of a unit sphere. Symmetries of this point distribution simplify the determination of the entanglement, and enable the study of quantum states in novel ways. Here it is shown that the duality relationship of Platonic solids has a counterpart in the Majorana representation, and that in general maximally entangled symmetric states neither correspond to anticoherent spin states nor to spherical designs. The usability of symmetric states as resources for measurement-based quantum computing is also discussed.Comment: 10 pages, 8 figures; submitted to Lecture Notes in Computer Science (LNCS

Neurofibromatosis type 1 gene product (neurofibromin) associates with microtubules

The neurofibromatosis type 1 (NF1) gene was recently identified by positional cloning and found to encode a protein with structural and functional homology to mammalian and yeast GTPase-activating proteins (GAPs). Using antibodies directed against the NF1 gene product, a protein of ∼250kDa was identified and termed neurofibromin. Double-indirect immunofluorescent labeling with anti-neurofibromin and anti-tubulin antibodies demonstrates that neurofibromin associates with cytoplasmic microtubules. Immunoblotting of microtubule-enriched cytoplasmic fractions, using antibodies generated against neurofibromin, shows that neurofibromin copurifies with microtubules. When portions of neurofibromin are expressed in Sf9 insect cells they associate with polymerized microtubules; furthermore, the critical residues for this interaction reside within the GAP-related domain of neurofibromin. The unexpected association of neurofibromin with microtubules suggests that neurofibromin is involved in microtubule-mediated intracellullar signal transduction pathways.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/45544/1/11188_2005_Article_BF01233074.pd

Cisto ovariano em vacas de leite: incidência, resposta à aplicação de GnRH e desempenho reprodutivo Ovarian cysts in lactating dairy cows: incidence, response to GnRH, and reproductive performance

A incidência de cistos ovarianos, a resposta ao tratamento com GnRH e os efeitos da ocorrência de cisto no desempenho reprodutivo e na taxa de descarte foram determinados em vacas lactantes da raça Holandesa. Vacas lactantes (n=333) foram avaliadas semanalmente por ultrassonografia a partir da quarta semana pós-parto, visando à detecção de corpos lúteos (CL) e de folículos ovarianos maiores que 10mm. Na sétima semana pós-parto, as vacas foram classificadas: em ciclando (n=248; presença de CL em um dos exames ultrassonográficos); em anestro (n=54; ausência de CL e de folículos >25mm) e com cisto (n=31; ausência de CL e presença de estruturas >25mm), quando foram distribuídas em: grupo-controle (n=16; sem tratamento) e grupo-tratamento (n=15; vacas que receberam uma aplicação de GnRH). A taxa de cura foi de 60,0% no grupo das vacas tratadas e de 87,5% no grupo-controle. As vacas com cistos apresentaram maior intervalo parto-primeira inseminação artificial (P<0,05; 91,4±8,3 vs. 77,8±2,5), maior número de serviços por concepção (P<0,05; 4,4±1,2 vs. 3,6±1,5), maior intervalo parto-concepção (P<0,05; 214,8±25,9 vs. 174,9±7,7) e maior taxa de descarte (P<0,05; 41,2 vs. 21,8%) do que as vacas ciclando. Vacas diagnosticadas com cisto na sétima semana pós-parto apresentaram recuperação espontânea, embora o intervalo parto-concepção e a taxa de descarte tenham sido maiores para essas vacas.<br>The incidence of ovarian cysts, response to GnRH treatment, and effects on reproductive performance and culling rate of Holstein cows were determined. Ovaries of lactating cows (n=333), were weekly monitored by ultrasound, beginning at fourth week postpartum, to determine the presence of corpus luteum (CL) and follicles greater than 10mm. In the seventh week the cows were classified as cycling (n=248; presence of corpus luteum (CL) in one of the ultrasound evaluations); anovulatory (n=54; absence of CL and follicles less than 25mm), and cystic (n=31; absence of CL and presence of structures greater than 25mm). The cysts cows were distributed in two groups in the seventh week: control group (n=16; without treatment) and treatment group (n=15; cows received one GnRH injection). The recovery rate was 60.0% in treated cows and 87.5% in control cows. The cystic cows had longer average interval from parturition to first AI (P<0.05; 91.4±8.3 vs. 77.8±2.5), higher number of services per conception (P<0.05; 4.4±1.2 vs. 3.6±1.5), longer interval parturition to conception (P<0.05; 214.8± 25.9 vs. 174.9±7.7), and higher percentage of culled cows (P<0.05; 41.2% vs. 21.8%), than cycling cows. Cystic cows without treatment had the same recovery rate as cows treated with GnRH. Cystic cows had longer intervals from parturition to conception, and higher culling rate