Geometric classical and total correlations via trace distance

We introduce the concepts of geometric classical and total correlations through Schatten 1-norm (trace norm), which is the only Schatten p-norm able to ensure a well-defined geometric measure of correlations. In particular, we derive the analytical expressions for the case of two-qubit Bell-diagonal states, discussing the superadditivity of geometric correlations. As an illustration, we compare our results with the entropic correlations, discussing both their hierarchy and monotonicity properties. Moreover, we apply the geometric correlations to investigate the ground state of spin chains in the thermodynamic limit. In contrast to the entropic quantifiers, we show that the classical correlation is the only source of 1-norm geometric correlation that is able to signaling an infinite-order quantum phase transition.Comment: v2: published versio

The role of TAU protein in the pathophysiology of frontotemporal dementia

CONTEXTO: Sob a denominação demência frontotemporal (DFT) enquadram-se importantes síndromes demenciais de natureza degenerativa progressiva que acometem os lobos frontais e temporais em ambos os hemisférios. As DFTs podem ser agrupadas, segundo seus aspectos clínicos dominantes, em variante frontal, afasia progressiva não fluente e demência semântica. A proteína Tau tem papel importante na patogenia desses transtornos, e anormalidades conformacionais estão presentes em até 50% dos casos de DFT esporádica. Do ponto de vista neuropatológico, as DFTs podem ser classificadas em Tau negativas e Tau positivas, estas últimas também classificadas entre as tauopatias. OBJETIVO: Neste trabalho será revisto o papel da proteína Tau na patogenia das DFTs. MÉTODOS: Busca simples no Scielo e na Pubmed por meio das palavras-chave: "tauopatias", "demência frontotemporal" e "proteína Tau". Foram revisados os artigos publicados a partir de 2000, e artigos anteriores de maior relevância, identificados a partir das referências estudadas. RESULTADOS: Dentre os trabalhos incluídos nesta análise, 12 abordam as tauopatias, sendo dez originais e sete de revisão. Foram identificados 20 artigos sobre DFT, sendo 16 artigos originais e quatro de revisão. CONCLUSÃO: A proteína Tau tem papel fundamental na patogenia das DFTs e outras doenças neurodegenerativas. O conhecimento desses mecanismos fisiopatológicos é o passo inicial para o desenvolvimento de estratégias terapêuticas.BACKGROUND: Frontotemporal dementia (FTD) represents an important group of neurodegenerative diseases, affecting temporal and frontal lobes of both hemispheres. FTD can be divided into three clinical subsyndromes: frontal variant, non-fluent progressive aphasia, and semantic dementia. Abnormalities of the metabolism of Tau protein are present in the physiopathology of FTD, and is found in approximately 50% of sporadic cases, supporting the classification of the FTDs into Tau-negative and Tau-positive subtypes, the latter also called "Tauopathies". OBJECTIVE: To review the role of Tau in the pathophysiology of FTD. METHODS: Review of the literature on FTD published in the Pubmed and Scielo databases since the year 2000, using the keywords: Tau, Tauopathies, frontotemporal dementia. Relevant references previously published, as indicated in the reference list of selected articles, were also included. RESULTS: Through electronic search we identified 12 articles addressing Tauopathies (ten containing original data and seven reviews), and 20 articles (16 with original data and four reviews) on FTDs. CONCLUSIONS: There is consistent evidence in the literature to support the notion that Tau protein plays a crucial role in the pathogenesis of FTDs and other neurodegenerative dementias, and the knowledge on these mechanisms is necessary for the development of more specific therapies

A consistent scalar-tensor cosmology for inflation, dark energy and the Hubble parameter

The authors are grateful for financial support to the Cruickshank Trust (CW), EPSRC/GG-Top (CW, JR), Omani Government (MA), Science Without Borders programme, CNPq, Brazil (DR), and STFC/CfFP (CW, AM, RB, JM). CW and AM acknowledge the hospitality of CERN, where this work was started. The University of Aberdeen and University of Edinburgh are charitable bodies registered in Scotland, with respective registration numbers SC013683 and SC005336.Peer reviewedPostprin

Proposal to produce long-lived mesoscopic superpositions through an atom-driven field interaction

We present a proposal for the production of longer-lived mesoscopic superpositions which relies on two requirements: parametric amplification and squeezed vacuum reservoir for cavity-field states. Our proposal involves the interaction of a two-level atom with a cavity field which is simultaneously subjected to amplification processes.Comment: 12 pages, title changed, text improved and refences adde