Local channels preserving maximal entanglement or Schmidt number

Maximal entanglement and Schmidt number play an important role in various quantum information tasks. In this paper, it is shown that a local channel preserves maximal entanglement state(MES) or preserves pure states with Schmidt number $r$($r$ is a fixed integer) if and only if it is a local unitary operation.Comment: 10 page

Separability criteria and entanglement witnesses for symmetric quantum states

We study the separability of symmetric bipartite quantum states and show that a single correlation measurement is sufficient to detect the entanglement of any bipartite symmetric state with a non-positive partial transpose. We also discuss entanglement conditions and entanglement witnesses for states with a positive partial transpose.Comment: 5 pages, no figures, LaTeX; v2: typos corrected, introduction extended; v3: small corrections, published version; for the proceedings of the DPG spring meeting, Hamburg, March 200

Processos condicionantes de alterações em variáveis limnológicas: uma abordagem estatística na Represa de São Pedro, Juiz de Fora (MG)

RESUMO Os mananciais de abastecimento de água são ativos ambientais que precisam da atenção de toda a sociedade. O monitoramento de variáveis limnológicas possibilita inferir sobre as condições do recurso hídrico, além de oferecer indicativos de toda a dinâmica natural ou antrópica compreendida na bacia hidrográfica. A precipitação é um dos principais mecanismos atuantes nos parâmetros de qualidade de água, o que justifica sua relevância nesse tipo de análise. O teste t de Student e a análise fatorial/análise de componentes principais constituíram importantes ferramentas na interpretação dos dados limnológicos da captação da Represa de São Pedro, Juiz de Fora, Minas Gerais. O teste t de Student possibilitou verificar quais parâmetros apresentaram variação sazonal estatisticamente significativa. Já os resultados da análise fatorial/análise de componentes principais apontaram as variáveis mais relevantes na qualidade da água do manancial. A análise conjunta dos resultados estatísticos definiu os processos condicionantes das alterações nas variáveis estudadas, indicando o escoamento superficial como principal determinante das variáveis que compõem as componentes após rotação da matriz de componentes principais, Fator Varimax FV1 e FV4, e a contribuição orgânica, não associada à precipitação, como reflexo das variáveis da FV2 e FV3

Heterogeneity of genomic evolution and mutational profiles in multiple myeloma

Multiple myeloma is an incurable plasma cell malignancy with a complex and incompletely understood molecular pathogenesis. Here we use whole-exome sequencing, copy-number profiling and cytogenetics to analyse 84 myeloma samples. Most cases have a complex subclonal structure and show clusters of subclonal variants, including subclonal driver mutations. Serial sampling reveals diverse patterns of clonal evolution, including linear evolution, differential clonal response and branching evolution. Diverse processes contribute to the mutational repertoire, including kataegis and somatic hypermutation, and their relative contribution changes over time. We find heterogeneity of mutational spectrum across samples, with few recurrent genes. We identify new candidate genes, including truncations of SP140, LTB, ROBO1 and clustered missense mutations in EGR1. The myeloma genome is heterogeneous across the cohort, and exhibits diversity in clonal admixture and in dynamics of evolution, which may impact prognostic stratification, therapeutic approaches and assessment of disease response to treatment

Comprehensive analysis of epigenetic clocks reveals associations between disproportionate biological ageing and hippocampal volume

The concept of age acceleration, the difference between biological age and chronological age, is of growing interest, particularly with respect to age-related disorders, such as Alzheimer’s Disease (AD). Whilst studies have reported associations with AD risk and related phenotypes, there remains a lack of consensus on these associations. Here we aimed to comprehensively investigate the relationship between five recognised measures of age acceleration, based on DNA methylation patterns (DNAm age), and cross-sectional and longitudinal cognition and AD-related neuroimaging phenotypes (volumetric MRI and Amyloid-β PET) in the Australian Imaging, Biomarkers and Lifestyle (AIBL) and the Alzheimer’s Disease Neuroimaging Initiative (ADNI). Significant associations were observed between age acceleration using the Hannum epigenetic clock and cross-sectional hippocampal volume in AIBL and replicated in ADNI. In AIBL, several other findings were observed cross-sectionally, including a significant association between hippocampal volume and the Hannum and Phenoage epigenetic clocks. Further, significant associations were also observed between hippocampal volume and the Zhang and Phenoage epigenetic clocks within Amyloid-β positive individuals. However, these were not validated within the ADNI cohort. No associations between age acceleration and other Alzheimer’s disease-related phenotypes, including measures of cognition or brain Amyloid-β burden, were observed, and there was no association with longitudinal change in any phenotype. This study presents a link between age acceleration, as determined using DNA methylation, and hippocampal volume that was statistically significant across two highly characterised cohorts. The results presented in this study contribute to a growing literature that supports the role of epigenetic modifications in ageing and AD-related phenotypes